0
REVIEW ARTICLES

Nonlinear vibrations of suspended cables—Part III: Random excitation and interaction with fluid flow

[+] Author and Article Information
Raouf A Ibrahim

Department of Mechanical Engineering, Wayne State University, Detroit MI 48202

Appl. Mech. Rev 57(6), 515-549 (Feb 16, 2005) (35 pages) doi:10.1115/1.1804541 History: Online February 16, 2005
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Rega  G (2004), Nonlinear dynamics of suspended cables, Part I: Modeling and analysis, Appl. Mech. Rev. 57, 443–478.
Rega  G (2004), Nonlinear dynamics of suspended cables, Part II: Deterministic phenomena, Appl. Mech. Rev. 57, 479–514.
Miles  JW (1965), Stability of forced oscillations of a vibrating string, J. Acoust. Soc. Am. 37, 855–861.
Miles  JW (1984a), Resonant non-planar motion of a stretched string, J. Acoust. Soc. Am. 75, 1505–1510.
Miles  JW (1984b), Resonant motion of a spherical pendulum, Physica D 11, 309–323.
Miles  JW (1984c), Internally resonance surface waves in a circular cylinder, J. Fluid Mech. 149, 1–14.
Miles  JW (1984d), Resonantly forced surface waves in a circular cylinder, J. Fluid Mech. 149, 15–31.
Lin YK (1967), Probabilistic Theory of Struct Dynamics, McGraw-Hill, New York.
Ibrahim RA (1985), Parametric Random Vibration, Wiley, New York.
Roberts JB and Spanos PD (1990), Random Vibration and Statistical Linearization, Wiley, New York.
Jordan DW and Smith P (1987), Non-linear Ordinary Differential Equations, 2nd Edition, Oxford Univ Press, Oxford.
Guckenheimer J and Holmes P (1983), Non-linear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York.
Lyon  RH, Heckl  M, and Hazelgrove  CB (1961), Response of hard-spring oscillator to narrow-band excitation, J. Acoust. Soc. Am. 33, 1404–1411.
Richard  K and Anand  GV (1983), Non-linear resonance in string narrow-band random excitation, Part I: Planar resonance and stability, J. Sound Vib. 86, 85–98.
Davies  HG and Nandall  D (1986), Phase plane for narrow band random excitation of a Duffing oscillator, J. Sound Vib. 104(2), 277–283.
Dimentberg  MF (1971), Oscillations of a system with non-linear cubic characteristic under narrow-band random excitation, Mech. Solids 6(2), 142–146.
Dimentberg  MF (1980), Oscillations of a system with non-linear stiffness under simultaneous external and parametric random excitations, Mech. Solids 15(5), 42–45.
Lennox  WC and Kuak  YC (1976), Narrow band excitation of a non-linear oscillator, ASME J. Appl. Mech. 43, 340–344.
Kapitaniak  T (1985), Stochastic response with bifurcation on non-linear Duffing oscillators, J. Sound Vib. 102(3), 440–441.
Davies  HG, and Liu  Q (1990), The response envelope probability density function of a Duffing oscillator with random narrow band excitation, J. Sound Vib. 139, 1–8.
Iyengar  RN (1988), Stochastic response and stability of the Duffing oscillator under narrow-band excitation, J. Sound Vib. 126, 255–263.
Koliopulos  PK and Bishop  SR (1993), Quasi-harmonic analysis of the behavior of hardening Duffing oscillator subjected to filtered white noise, Nonlinear Dyn. 4, 279–288.
Fronzoni  L, Grigolini  P, Mannella  R, and Zambon  B (1985), The Duffing oscillator in the low-friction limit: Theory and analog simulation, J. Stat. Phys. 41, 553–579.
Fang  T and Dowell  EH (1987a), Transient mean square response of randomly damped linear systems, J. Sound Vib. 113, 71–79.
Davies  HG and Rajan  S (1988), Random superharmonic and subharmonic response: multiple time scaling of a Duffing oscillator, J. Sound Vib. 126(2), 195–208.
Davies  HG and Liu  D (1992), On the narrow band random response distribution function of a nonlinear oscillator, Int. J. Non-Linear Mech. 104(2), 277–283.
Roberts  JB and Spanos  PTD (1986), Stochastic averaging: An approximate method of solving random vibration problems, Int. J. Non-Linear Mech. 21(2), 111–134.
Caughey  TK (1959), Response of a non-linear string to random loading, ASME J. Appl. Mech. 26, 341–344.
Caughey  TK (1960), Random excitation of a loaded non-linear string, ASME J. Appl. Mech. 27, 575–578.
Ahmadi  G (1980), Mean square response of a Duffing oscillator to a modulated white noise excitation by the generalized method of equivalent linearization, J. Sound Vib. 71(1), 9–15.
Iyengar  RN (1989), Response of nonlinear systems to narrow band excitation, Struct. Safety 6, 177–185.
Roberts  JB (1991), Multiple solutions generated by statistical linearization and their physical significance, Int. J. Non-Linear Mech. 26, 945–959.
Iyengar RN (1992), Approximate analysis of nonlinear systems under narrow band random inputs, Nonlin Mech, IUTAM Symp, Turin, N Bellomo and F Casciati (eds), Springer Verlag, New York.
Worden  K, and Manson  G (1998), Random vibrations of Duffing oscillator using the Volterra series, J. Sound Vib. 217(4), 781–789.
Crandall  SH (1980), Non-Gaussian closure for random vibration of non-linear oscillations, Int. J. Non-Linear Mech. 15(4/5), 303–313.
Rajan  S and Davies  H (1988), Multiple time scaling of the response of a Duffing oscillators to narrow-band random excitation, J. Sound Vib. 128(3), 497–506.
Zhu  WQ, Lu  MQ, and Wu  QT (1993), Stochastic jump and bifurcation of a Duffing oscillator under narrow-band excitation, J. Sound Vib. 165(2), 285–304.
Fang  T and Dowell  EH (1987b), Numerical simulation of jump phenomenon in stable Duffing systems, Int. J. Non-Linear Mech. 22, 267–274.
Lee  J (1995), Improving the equivalent linearization technique for stochastic Duffing oscillators, J. Sound Vib. 186(5), 846–855.
Koliopulos  PK and Langley  RS (1993), Improved stability analysis of the response of a Duffing oscillator under filtered white noise, Int. J. Non-Linear Mech. 28(2), 145–155.
Weinstein  EM and Benaroya  H (1994), The Van Kampen expansion for the Fokker-Planck equation of a Duffing oscillator, J. Stat. Phys. 77(3/4), 667–679.
Weinstein  EM, and Benaroya  H (1994), The Van Kampen expansion for the Fokker-Planck equation of a Duffing oscillator excited by colored noise, J. Stat. Phys. 77(3/4), 681–690.
Wu  MM, Billah  KYR, and Shinozuka  M (1996), Analytical study of the Duffing oscillator excited by colored noise using a systematic adiabatic expansion, ASME J. Appl. Mech. 63(4), 1027–1032.
Lyon  RH (1956), Response of strings to random noise fields, J. Acoust. Soc. Am. 28(3), 391–398.
Lyon  RH (1960), On the vibration statistics of a randomly excited hard-spring oscillator, J. Acoust. Soc. Am. 32(6), 716–719.
Lyon  RH (1960), Response of a non-linear string to random excitation, J. Acoust. Soc. Am. 32(8), 953–960.
Lyon  RH (1960), Equivalent linearization of the hard spring oscillator, J. Acoust. Soc. Am. 32, 1161–1162.
Spencer  BF, and Bergman  LA (1993), On the numerical solution of the Fokker-Planck equation for non-linear stochastic systems, Nonlinear Dyn. 4(4), 357–372.
Mei C and Wentz KR (1982), Analytical and experimental non-linear response of rectangular panels to acoustic excitation, AIAA/ASME/ASCE/AHS 23rd Struct, Struct Dyn and Mat Conf, New Orleans LA, 514–520.
Moyer ET Jr (1988), Time domain simulation of the response of geometrically non-linear panels subjected to random loading, Proc of 29th AIAA/ASME/ASCE/AHS Struct, Struct Dyn and Mat Conf, Paper No. 88-2236, 210–218.
Reinhall  PG and Miles  RN (1989), Effect of damping and stiffness on the random vibration of non-linear periodic plates, J. Sound Vib. 132(1), 33–42.
Miles  R (1989), An approximate solution for spectral response of Duffing’s oscillator with random input, J. Sound Vib. 132(1), 43–49.
Ibrahim  RA, Lee  BH, and Afaneh  AH (1993), Structural modal multifurcation with internal resonance, Part II: Stochastic approach, ASME J. Vibr. Acoust. 115(2), 193–201.
Morton  JB and Corrison  S (1970), Consolidated expansions for estimating the response of a randomly driven non-linear oscillator, J. Stat. Phys. 2, 153–194.
Budgor  AB (1976), Studies in non-linear stochastic processes, I: Approximate solutions of non-linear stochastic differential equations by the method of statistical linearization, J. Stat. Phys. 15(5), 355–375.
Budgor  AB, Lindenberg  K, and Shuler  KE (1976), Studies in non-linear stochastic processes, II: The Duffing oscillator revisited, J. Stat. Phys. 15(5), 375–391.
Dykman  MI, Manella  R, McClintoch  PVE, Moss  F, and Soskin  SM (1988), Spectral density of fluctuations of a double-well Duffing oscillator driven by white noise, Phys. Rev. A 37, 1303–1313.
Moshchuk  N and Ibrahim  RA (1996), Response statistics of ocean structures to nonlinear hydrodynamic loading, Part II: Non-Gaussian ocean waves, J. Sound Vib. 191(1), 107–128.
Wittig LE (1971), Random vibration of a point-driven strings and plates, PhD thesis, MIT.
Haines  CW (1967), Hierarchy methods for random vibrations of elastic strings and beams, J. Eng. Math. 1, 293–305.
Boyce WC (1962), Random vibration of strings and bars, Proc of 4th US Natl Congress of Appl Mech, Berkeley, 77–85.
Field  RV, Bergman  LA, and Hall  WB (1995), Computation of probabilistic stability measures for a controlled distributed parameter system, Probab. Eng. Mech. 10, 181–192.
Milstead RM (1975), The Dynamic Stability of an Axially Moving Thin Elastic Strip Subjected to Random Parametric Excitation, PhD dissertation, Polytechnic Inst New York.
Kozin  F and Milstead  RM (1979), The stability of a moving elastic strip subjected to random parametric excitation, ASME J. Appl. Mech. 46(2), 404–410.
Anand  GV (1969), Large amplitude damped free vibration of a stretched string, J. Acoust. Soc. Am. 45, 1089–1096.
Anand  GV, and Richard  K (1974), Non-linear response of a string to random excitation, Int. J. Non-Linear Mech. 9, 251–260.
Ariaratnam  ST (1962), Response of a loaded non-linear string to random excitation, ASME J. Appl. Mech. 29, 483–485.
Tagata  G (1978), Analysis of a Randomly Excited Non-linear Stretched String, J. Sound Vib. 58(1), 95–107.
Tagata  G (1989), Non-linear string random vibration, J. Sound Vib. 129(3), 361–384.
Irvine  HM and Caughey  TK (1974), The linear theory of free vibrations of a suspended cable, Proc. R. Soc. London, Ser. A 341, 299–315.
Luongo  A, Rega  G, and Vestroni  F (1984), Planar non-linear vibrations of an elastic cable, Int. J. Non-Linear Mech. 19(1), 39–52.
Takahashi  K and Konishi  Y (1987), Non-linear vibrations of cables in three dimensions, Part I: Non-linear free vibrations, J. Sound Vib. 118(1), 69–84.
Murthy  GSS and Ramakrishna  BS (1965), Non-linear character of resonance in stretched strings, J. Acoust. Soc. Am. 38, 461–471.
Anand  GV (1966), Non-linear resonance in stretched strings with viscous damping, J. Acoust. Soc. Am. 40(6), 1517–1528.
Chang  WK, Ibrahim  RA, and Afaneh  AH (1996), Planar and non-planar non-linear dynamics of suspended cables under random in-plane loading, Part I: Single internal resonance, Int. J. Non-Linear Mech. 31(6), 837–859.
Chang  WK and Ibrahim  RA (1997), Multiple internal resonances in suspended cables under random in-plane loading, Nonlinear Dyn. 12, 275–303.
Ibrahim  RA and Chang  WK (1999), Stochastic excitation of suspended cables involving three simultaneous internal resonances using monte carlo simulation, Comput. Methods Appl. Mech. Eng. 168, 285–304.
Horsthemke W and Lefever R (1989), Noise-induced transitions, Ch 8, Noise in Non-linear Dynamical Systems 2, 179–208, F Moss and PVE McClintock (eds), Cambridge Univ Press, Cambridge.
Pomeau  Y and Manneville  P (1980), Intermittent transition to turbulence in dissipative dynamical systems, Commun. Math. Phys. 74, 189–197.
Platt  N, Spiegel  EA, and Tresser  C (1993), On-off intermittency: A mechanism for bursting, Phys. Rev. Lett. 70(3), 279–282.
Platt  N, Hammel  SM, and Heagy  JF (1994), Effects of additive noise on on-off intermittency, Phys. Rev. Lett. 72(22), 3498–3501.
Heagy  JF, Platt  N, and Hammel  SM (1994), Characterization of on-off intermittency, Phys. Rev. E E49(2), 1140–1150.
Edwards  AT and Madeyski  A (1956), Progress report on the investigation of galloping of transmission line conductors, Trans AIEE 75, 666–683.
Den Hartog  JP (1932), Transmission line vibration due to sleet, Trans AIEE 51(12), 1074–1076.
Matsumoto M, Shigemura Y, Daito Y, and Kanamura T (1997), High speed vortex shedding vibration of inclined cables, Proc Int Seminar Cable Dynamics, Tokyo, 27–35.
Schäfer  B (1984), Dynamical modeling of wind-induced vibrations of overhead lines, Int. J. Non-Linear Mech. 19(5), 455–467.
Sahay  C and Dubey  RN (1987), Vibration of overhead transmission lines, Shock Vib. Dig. 19(5), 11–15.
Stefanou  GD (1992), Dynamic response of tension cable structures due to wind loads, Comput. Struct. 43(2), 365–372.
Matsumoto M, Knisely CW, Shiraishi N, Kitazawa M, and Saito T (1989), Inclined-cable aerodynamics, structural design, analysis and testing, Proc, ASCE Structural Congress, San Francisco.
Hunt  JCR and Richards  DJW (1969), Overhead line oscillations and the effect of aerodynamic dampers, Proc. Inst. Electr. Eng. 116, 1869–1874.
White  WN, Venkatasubramanian  S, Huang  CLD, and Lynch  PM (1992), Equations of motion for the torsional and bending vibrations of a standard cable, ASME J. Appl. Mech. 59(2), S224–S229.
Nigol  O and Buchan  PG (1981a), Conductor galloping, Part I: Den Hartog mechanism, IEEE Trans. Power Appar. Syst. 100, 699–707.
Nigol  O and Buchan  PG (1981b), Conductor galloping, Part II: Torsional mechanism, IEEE Trans. Power Appar. Syst. 100, 708–720.
Momomura  Y, Marukawa  H, and Ohkuma  T (1992), Wind-induced vibration of transmission line system, J. Wind. Eng. Ind. Aerodyn. 41–44, 2035–2046.
Blevins  RD and Iwan  WD (1974), The galloping response of a two-degree-of-freedom system, ASME J. Appl. Mech. 41, 1113–1118.
Yu  P, Shah  AH, and Popplewell  N (1992), Inertially coupled galloping of iced conductors, ASME J. Appl. Mech. 59, 140–145.
Jones  KF (1992), Coupled vertical and horizontal galloping, J. Eng. Mech. Div. 118(1), 92–107.
Yu  P, Desai  Y, Popplewell  N, and Shah  AH (1993a), Three-degree-of-freedom model for galloping, Part I: Formulation, J. Eng. Mech. Div. 119(12), 2404–2425.
Yu  P, Desai  Y, Popplewell  N, and Shah  AH (1993b), Three-degree-of-freedom model for galloping, Part II: Solutions, J. Eng. Mech. Div. 119(12), 2426–2448.
Cao DQ, Tucker RW, and Wang C (2001a), Aeroelastic stability of a Cosserat stay cable, Proc 4th Int Symp Cable Dynamics, 369–376.
Versiebe  C (1998), Exciting mechanisms of rain-wind-induced vibrations, Struct. Eng. Int. (IABSE,Zurich,Switzerland) 2, 112–117.
Bosdogianni  A and Olivari  D (1996), Wind- and rain-induced oscillations of cables of stayed bridges, J. Wind. Eng. Ind. Aerodyn. 64, 171–185.
Sasaki S, Komoda M, Akiyama T, Oishi M, Kojima Y, Okumura T, and Maeda Y (1986), Developments of galloping control devices and operation records in Japan, CGRE Report 22-07.
Cao DQ, Tucker RW, and Wang C (2001b), A stochastic approach to cable dynamics with moving rivulets, www.lancs.ac.uk/depts/mgg/cable.
Tokoro  S, Komatsu  H, Nakasu  M, Mizuguchi  K, and Kasuga  A (2000), A study on wake-galloping employing full aeroelastic twin cable model, J. Wind. Eng. Ind. Aerodyn. 88, 247–261.
Papazoglou  VJ, Mavrakos  SA, and Triantafyllou  MS (1990), Nonlinear cable response and model testing in the water, J. Sound Vib. 140(1), 103–115.
Morison  D, O’brien  M, Johnson  J, and Schaaf  S (1950), The force exerted by surface waves on piles, Petr Trans AIME 189, 149–154.
Triantafyllou  MS (1991), Dynamics of cables, towing cables, and mooring systems, Shock Vib. Dig. 23, 3–8.
Burgess JJ (1992), Equations of motion of a submerged cable with bending stiffness, Proc Int Offshore Mech and Arctic Eng, Calgary, Canada, 283–290.
Burgess JJ (1994), The deployment of an undersea cable system in sheared current, Proc BOSS’94, 327–334.
Yamamoto C, Inoue M, Nagatomi O, Koterayama W, and Nakamura M (1997), Study on dynamics of submarine cable during laying and recovery, Proc of 16th Int Conf Offshore Mech Arctic Eng Part 1-B, 183–189.
Zajac  EE (1957), Dynamics and kinematics of the laying and recovery of submarine cable, Bell Syst. Tech. J. 36(5), 1129–1207.
Niedzwecki  JM and Thampi  SK (1991), Snap loading of marine cable systems, Appl. Ocean. Res. 13, 210–218.
Schneider  L, Burton  LG, and Mahan  T (1965), Tow-cable snap loads, Marine Tech 2, 43–49.
Bernitsas  MM (1982), A three-dimensional nonlinear large-deflection model for dynamic behavior of risers, pipelines, and cables, J. Ship Res. 26(1), 59–64.
Triantfyllou MS, Bliek A, and Shin H (1985), Dynamic analysis as a tool for open sea mooring system analysis, Soc. Nav. Archit. Mar. Eng., Trans. of the Annual Meeting, New York.
Milgram  JH, Triantfyllou  MS, Frimm  F, and Anagnostou  G (1988), Sea-keeping and extreme tensions in Offshore towing, Soc. Nav. Archit. Mar. Eng., Trans. 96, 35–72.
Blevins RD (1977), Flow-Induced Vibration, Van Nostrand Reinhold, New York.
Williams  HE (1975), Motion of a cable used as a mooring, J Hydronaut 9(7), 107–118.
Graham  JR (1965), Mooring techniques in the open sea, Marine Tech 2, 132–141.
Casarella  MJ and Parsons  M (1970), Cable systems under hydrodynamic loading, Mar. Technol. Soc. J. 4, 27–44.
Choo  Y and Casarella  MJ (1973), A survey of analytical methods for dynamic simulation of cable-body systems, J Hydronaut 7, 137–144.
Breslin  JP (1974), Dynamic forces exerted by oscillating cables, J Hydronaut 8(1), 19–31.
Goodman  TR and Breslin  JP (1976), Static and dynamics of anchoring cables in waves, J Hydronaut 10, 113–120.
Delmer  TN, Stephens  TC, and Coe  JM (1983), Numerical simulation of towed cables, Ocean Eng. 10(2), 119–132.
Kirk  CL, Etok  EU, and Cooper  MT (1979), Dynamic and static analysis of a marine riser, Appl. Ocean. Res. 1(3), 125–135.
Kim  WJ and Perkins  NC (2002), Linear vibration characteristics of cable-buoy systems, J. Sound Vib. 252(3), 443–456.
Ablow  CM and Schechter  S (1983), Numerical simulation of undersea cable dynamics, Ocean Eng. 10(6), 443–457.
Milinazzo  F, Wilkie  M, and Latchman  SA (1987), An efficient algorithm for simulating the dynamics of cable systems, Ocean Eng. 14(6), 513–526.
Delmer  TN, Stephens  TC, and Tremills  JA (1988), Numerical simulation of cable-towed acoustic arrays, Ocean Eng. 15(6), 511–548.
Bokaian  A (1994), Lock-in prediction of marine risers and tethers, J. Sound Vib. 175(5), 607–623.
Huang S and Vassalos D (1995), Chaotic heave motion of marine cable-body systems, Proc ISOPE-Ocean Mining Symp, Tsukuba, Japan, 83–90.
Inoue Y, Nakamura T, and Miyabe H (1991), On the dynamic tension of towline in ocean towing, ASME Offshore Mechanics and Arctic Eng 1(B), Chakrabart, et al. (eds) 547–553.
Jain  PK (1980), A simple method of calculating the equivalent stiffness in mooring cables, Appl. Ocean. Res. 2, 139–142.
Vaz  MA and Patel  MH (1995), Transient behavior of towed marine cables in two dimensions, Appl. Ocean. Res. 17, 143–153.
Patel  MH and Vaz  MA (1995), The transient behavior of marine cables being laid—the two-dimensional problem, Appl. Ocean. Res. 17, 245–258.
Scharm  JW and Reyle  SP (1968), A three-dimensional dynamic analysis of a towed system, J Hydraun 2, 213–220.
Sanders  JV (1982), A three-dimensional dynamic analysis of a towed system, Ocean Eng. 9, 483–499.
Vaz  MA and Patel  MH (2000), Three-dimensional behavior of elastic marine cables in sheared currents, Appl. Ocean. Res. 22, 45–53.
Vaz  MA, Witz  JA, and Patel  MH (1997), Three-dimensional transient analysis of the installation of marine cables, Acta Mech. 124, 1–26.
Huang  S (1994), Dynamic analysis of three-dimensional marine cables, Ocean Eng. 21, 587–605.
Smith  RJ and MacFarlane  CJ (2001), Statics of a three-component mooring line, Ocean Eng. 28, 899–914.
Ansari  KA (1980), Mooring with multi-component cable systems, ASME J. Energy Resour. Technol. 102, 62–69.
Ansari KA and Khan NU (1986), The effect of cable dynamics on the station-keeping response of a moored offshore vessel, ASME Proc 5th Int OMAE Symp Vol III, JS Chung, et al. (eds), 514–521.
Bernitsas  M and Garza-Rios  LO (1996), Effect of mooring line arrangement on the dynamics of spread mooring systems, ASME J. Offshore Mech. Arct. Eng. 118, 7–20.
Brown  DT (1997), Convergence of nonlinear wave loading on a catenary moored floating production system design, Int Shipbuilding Prog 44, 161–176.
Buckham  B, Nahon  M, Seto  M, Zhao  X, and Lambert  C (2003), Dynamics and control of towed underwater vehicle system, Part I: Model development, Ocean Eng. 30, 453–470.
Campa G, Wilkie J, and Innocenti M (1996), Model-based robust control for a towed underwater vehicle, AIAA Guid Nav Control Conf, San Diego CA.
Chen  X, Zhang  J, Johnson  P, and Irani  M (2001), Dynamic analysis of mooring lines with inserted springs, Appl. Ocean. Res. 23, 277–284.
Dercksen A and Hoppe LFE (1994), On the analysis of mooring systems using synthetic ropes, Proc 26th Ann Offshore Tech Conf, 3, 255–263.
Lindahl L and Sjöberg A (1983), Dynamic analysis of mooring cables, 2nd Int Symp Ocean Eng Ship Handling, 281–319.
Ogawa  Y (1984), Fundamental analysis of deep sea mooring line in static equilibrium, Appl. Ocean. Res. 6, 140–147.
Skop  RA (1988), Mooring Systems: A state-of-the-art review, ASME J Offshore Engrg Arctic Engrg 110, 365–372.
Van den Boom HJJ (1985), Dynamic behavior of mooring lines, BOSS’85 Behavior of Offshore Structures, Delft, The Netherlands, 359–368.
Grosenbaugh  MA (1996), On the dynamics of oceanographic surface moorings, Ocean Engrg 23(1), 7–25.
Faltinsen OM (1990), Sea Loads on Ships and Offshore Structures, Cambridge Univ Press, Cambridge, UK.
Driscoll  FR, Lueck  RG, and Nahon  M (2000a), The motion of a deep-sea remotely operated vehicle system, Part 1: Motion observations, Ocean Eng. 27, 29–56.
Driscoll  FR, Lueck  RG, and Nahon  M (2000b), The motion of a deep-sea remotely operated vehicle system, Part 2: Analytical model, Ocean Eng. 27, 57–76.
Driscoll  FR and Biggins  L (1993), Passive damping to attenuate snap loading on umbilical cables of remotely operated vehicles, IEEE Ocean Eng Soc Newsletter 28, 17–22.
Banerjee  AK and Do  VN (1994), Deployment control of a cable connecting a ship to an underwater vehicle, J. Guid. Control Dyn. 17(6), 1327–1332.
Inoue Y, Nakamura T, and Miyabe H (1991), On the dynamic tension of towline in ocean towing, ASME Offshore Mechanics and Arctic Eng 1(B), AK Chakrabart, et al. (eds) 547–553.
Walton  TS and Polacheck  H (1960), Calculation of transient motion of submerged cables, Math of Comp 14(69), 27–46.
Calkins  DE (1970), Faired towline hydrodynamics, J Hydronaut 4, 113–119.
Cannon  TC and Genin  J (1972), Dynamical behavior of material damped flexible towed cable, Aeronaut Quart 23, 109–120.
Calkins  DE (1979), Hydrodynamic analysis of a high-sped marine towed system, J Hydronaut 13(1), 10–19.
Nair  S and Hegemier  G (1979), Stability of faired underwater towing cables, J Hydronaut 13(1), 20–27.
Sanders  JV (1982), A three-dimensional dynamic analysis of a towed system, Ocean Eng. 9(5), 483–499.
Hung  CY and Nair  S (1984), Planar towing and hydrodynamic stability of faired underwater cables, AIAA J. 22, 1786–1790.
Chapman  DA (1982), Effects of ship motion on a neutrally stable towed fish, Ocean Eng. 9(3), 189–220.
Chapman  DA (1984), A study of the ship-induced roll-yaw motion of a heavy towed fish, Ocean Eng. 11(6), 627–654.
Chapman  DA (1984), Towed cable behavior during ship turning maneuvers, Ocean Eng. 11(4), 327–361.
Bettles  RW and Chapman  DA (1985), The experimental verification of a towed body and cable dynamic response theory, Ocean Eng. 12(5), 453–469.
Triantafyllou MS and Hover F (1990), Cable dynamics for tethered underwater vehicles, MIT Sea Grant Rept MITSG-90-6.
Trahan  RE , Yeadon  DS, and Thiele  MG (1991), Towfish altitude computation using multi-path acoustic ranging, IEEE J. Ocean. Eng. 16(2), 212–216.
Trahan  RE , Yeadon  DS, and Thiele  MG (1991), Optimal estimation of layback distance for marine towed cables, IEEE J. Ocean. Eng. 16(2), 217–222.
Hover  FS, Grosenbaugh  MA, and Triantafyllou  MS (1994), Calculation of dynamic motions and tensions in towed underwater cables, IEEE J. Ocean. Eng. 19(3), 449–457.
Griffin  OM and Vandiver  JK (1984), Vortex-induced strumming vibrations of marine cables with attached masses, ASME J. Energy Resour. Technol. 106, 458–465.
Iwan  WD and Jones  NP (1987), On the vortex-induced oscillations of long structural elements, ASME J. Energy Resour. Technol. 109, 161–167.
Huang  MC and Bauer  SY (1991), Vortex-induced loadings on taut cables with PET shrouds, J. Waters, Port, Coast, Ocean Eng. 117, 174–178.
Peltzer  RD and Rooney  DM (1985a), Vortex shedding in a linear shear flow from a vibrating marine cable with attached bluff bodies, ASME J. Fluids Eng. 107, 61–66.
Peltzer  RD and Rooney  DM (1985b), Near wake properties of a strumming marine cable: An experimental study, ASME J. Fluids Eng. 107, 86–91.
Kim  YH, Vandiver  JK, and Holler  R (1986), Vortex-induced vibration and drag coefficients of long cables subjected to sheared flows, ASME J. Energy Resour. Technol. 108, 77–83.
Schram  JW and Reyle  SP (1968), A three-dimensional dynamic analysis of a towed system, J Hydronaut 2(4), 213–220.
Paul  B and Solar  A (1972), Cable dynamics and optimal towing strategies, Mar. Technol. Soc. J. 6(2), 34–42.
Tein YSD, Cantrel JM, Marol P, and Huang K (1987), A rotational dynamic analysis procedure for turret mooring systems, Proc Offshore Tech Conf, Houston, Vol 3, 369–383.
Begdah LM and Rask I (1987), Dynamic versus quasi-static design of catenary mooring system, Proc Offshore Tech Conf, Houston, Vol 3, 397–404.
Taylor RJ, Wadsworth JP, Shields DR, and Ottsen H (1987), Design and installation of a mooring system in 2910 ft water, Proc Offshore Tech Conf, Houston, Vol 3, 385–396.
Fylling IJ, Ottera GO, and Gottliebsen F (1987), Optimization and safety consideration in the design of stionkeeping systems, Proc PRADS ’87 Symp, Trondheim, 445.
Triantafyllou  MS, Bliek  A, and Shin  H (1985), Dynamic analysis as a tool for open-sea mooring system design, Soc. Nav. Archit. Mar. Eng., Trans. 93, 303–324.
Mavrakos SA, Papazoglou VJ, and Triantafyllou MS (1989), An investigation into the feasibility of deep water anchoring systems, Proc of 8th Int Offshore Mech Arctic Eng Conf, The Hague, Vol 1, 683–689.
Mavrakos SA, Neos L, Papazoglou VJ, and Triantafyllou MS (1989), Systematic evaluation of the effect of submerged buoys’ size and location on deep water mooring dynamics, Proc PRADS ’89 Conf, Varna Bulgaria, Vol 3, 105.1–105.8.
Papazoglou VJ, Mavrakos SA, Triantafyllou MS, and Brando PA (1990), Scaling procedure for mooring experiments, Proc 1st European Offshore Mech Symp, Trondheim, Norway, 490–498.
Brando P, Mavrakos SA, Papazoglou VJ, and Triantafyllou MS (1991), Use of buoys to reduce static and dynamic tension in deep water mooring lines: A pilot study, Final Report to the EEC.
Shin H and Triantafyllou MS (1989), Dynamic analysis of cable with an intermediate submerged buoy for offshore applications, Proc 8th Int Offshore Mech Arctic Conf, The Hague, Vol 1, 675–682.
Papazoglou  VJ, Mavrakos  SA, and Triantafyllou  MS (1990), Nonlinear cable response and model testing in water, J. Sound Vib. 140, 103–115.
Mavrakos SA, Papazoglou VJ, Triantafyllou MS, and Brando P (1991), Experimental and numerical study on the effect of buoys on deep water mooring dynamics, Proc of 1st Int Offshore Polar Engrg Conf, Edinburgh, Vol II, 243–251.
Mavrakos  SA, Papazoglou  VJ,  , and  , and  , and  , and  , and Papazoglou  VJ, and Hatjigeorgiou  J (1996), Deep water mooring dynamics, Marine Struct 9, 181–209.
Sun Y (1996) Modeling and simulation of low tension oceanic cable/body deployment, PhD dissertation Univ of Connecticut.
Sun  Y and Leonard  JW (1998), Dynamics of Ocean Cables with local low-tension regions, Ocean Eng. 25(6), 443–463.
Leonard  JW, Sun  Y, and Palo  PA (1997), Time decrement simulation of expeditious oceanic cable-body installation, Comput. Struct. 64(1–4), 453–459.
Idris  K, Leonard  JW, and Yim  SCS (1997), Coupled dynamics of tethered buoy systems, Ocean Eng. 24(5), 445–464.
Gottlieb  O and Yim  SCS (1997), Nonlinear dynamics of a coupled surge-heave small-body ocean mooring system, Ocean Eng. 24(5), 479–495.
Leonard  JW, Idris  K, and Yim  SCS (2000), Large angular motions of tethered surface buoys, Ocean Eng. 27, 1345–1371.
Aamo  OM and Fossen  TI (2000), Finite element modeling of mooring lines, Math. Comput. Simul. 53, 415–422.
Hu  HY and Jin  DP (2001), Nonlinear dynamics of a suspended traveling cable subject to transverse fluid excitation, J. Sound Vib. 239(3), 515–529.
Anjo A, Yamasaki S, Matsubayashi Y, Nakayama Y, Otsuki A, and Fujimura T (1974), An experimental study of bundle galloping on the Kasatory-Yama test line for bulk power transmission, CIGRE Report 22004, Paris.
Bossens  F and Preumont  A (2001), Active tendon control of cable-stayed bridges: A large-scale demonstration, J Earthquake Engrg Struct Dyn 30, 961–979.
Chadha J (1974), A dynamic model investigation of conductor galloping, IEEE Winter Power Meeting, Paper 74 59-2.
Chabart  O and Lilien  JL (1998), Galloping of electrical lines in wind tunnel facilities, J. Wind. Eng. Ind. Aerodyn. 74–76, 967–976.
Diana  G, Bruni  S, Cheli  F, Fossati  F, and Manenti  A (1998), Dynamic analysis of the transmission line crossing “Lago de Maraciabo,” J. Wind. Eng. Ind. Aerodyn. 74–76, 977–986.
Diana G, Cheli F, Manenti A, Nicolini P, and Tavano F (1989), Oscillation of bundle conductors in overhead lines due to turbulent wind, IEE PES Winter Meeting, Atlanta, GA.
Hagedorn  P, Mitra  N, and Hadulla  T (2002), Vortex-excited vibrations in bundled conductors: A mathematical model, J. Fluids Struct. 16(7), 843–854.
Lilien JL and Chabart O (1995), High voltage overhead lines: Three mechanism to avoid bundle galloping, Proc Int Symp Cable Dynamics, Paper 47, Liege, Belgium, 381–391.
Lilien JL and Dubois H (1988), Overhead line vertical galloping on bundle configurations: Stability criteria and amplitude prediction, Proc IEE Overhead Line Design and Construction: Theory and Practice (up to 150 kv), 65–69.
Nakamura  Y (1980), Galloping of bundled power line conductors, J. Sound Vib. 73(3), 363–377.
Nigol O and Clarke GJ (1974), Conductor galloping and control based on torsional mechanism, IEEE Conf Paper C-74 116-2.
Otsuki  A and Kajita  O (1975), Galloping phenomena of overhead transmission lines, Fujikura Tech Rev 7, 33–46.
Rawlines CB (1981), Analysis of conductor galloping field observations—Single conductors, IEEE Paper 81 WM0538.
Richardson AS, Martucelli JR, and Price WS (1963), Research study on galloping of electric power transmission lines, Paper 7, 1st SympWind Effects on Buildings and Structures, Teddington, England.
Tunstall M and Koutselos LT (1988), Further studies of the galloping instability and natural ice accretions on overhead line conductors, 4th Int Conf Atmospheric Icing of Structures, Paris.
Anderson  K and Hagedorn  P (1995), On the energy dissipation in spacer-dampers in bundled conductors of overhead transmission lines, J. Sound Vib. 180, 539–556.
Hagedorn  P (1982), On the computation of damped wind excited vibrations of overhead transmission lines, J. Sound Vib. 83, 253–271.
Diouron  T, Fujino  Y, and Abe  M (2003), Control of wind-induced self-excited oscillations by transfer of internal energy to higher modes of vibration: Part I & II, J. Eng. Mech. Div. 129(5), 514–525.
Rawlins CB (1979), Galloping conductors, Chapter 4, EPRI Transmission Line Reference Book: Wind-Induced Conductor Motion, Electric Power Res Inst, Palo Alto CA.
McComber  P and Paradis  A (1995), Simulation du Galop d’une forme bi-dimensionnelle d’une cable givre, Trans. Can. Soc. Mech. Eng. 19(2), 75–92.
McComber  P and Paradis  A (1998), A cable galloping model for thin ice accretions, Atmos. Res. 46, 13–25.
Miroshnik  R (2000), The probabilistic model of the dynamic of the cable under a short-circuit current, Comput. Methods Appl. Mech. Eng. 187, 201–211.
Ford  GL and Srivastava  KD (1981), The probabilistic approach to substation bus short-circuit design, Electr. Power Syst. Res. 4, 191–200.
Germani MD, Vainberg M, Ford GL, El-Kady MA, and Ganton RW (1990), Probabilistic short-circuit upgrading of station strain bys system, Ontario Hydra.
El-Kady  MA (1983), Probabilistic short-circuit analysis by Monte-Carlo Simulation, IEEE Trans. Power Appar. Syst. 102(5), pp. 1308–1316.
Roussel  P (1976), Numerical solution of static and dynamic equations of cables, Comput. Methods Appl. Mech. Eng. 9, pp. 65–74.
Aranha  JAP and Pinto  MO (2001), Dynamic tension in risers and mooring lines: An algebraic approximation for harmonic excitation, Appl. Ocean. Res. 23, 63–81.
Aranha  JAP, Pinto  MO, and Leite  AJP (2001), Dynamic tension of cables in a random sea: Analytic approximation for the envelope probability density function, Appl. Ocean. Res. 23, 95–101.
Milgram  JH (1995), Extreme tensions in open ocean towing, J. Ship Res. 39, 328–346.
Sarkar  A and Eatock Taylor  R (2000), Effects of mooring line drag damping on response statistics of vessels excited by first- and second-order wave forces, Ocean Eng. 27, 667–686.
Huse E, and Matsumoto K (1989), Mooring line damping due to first- and second-order vessel motion, Proc Ofshore Tech Conf, Paper No 6137.
Webster  WC (1995), Mooring-induced damping, Ocean Eng. 22(6), 571–591.
Liu Y (1997), Dynamic analysis of mooring cables and their damping effect on the low-frequency motion of floating platforms, Thesis, Report series A:28, Department of Hydraulics, Chalmers Univ Tech, Gothenburg, Sweden.
Sarkar  A and Manohar  CS (1996), Dynamic stiffness matrix of a general cable element, Arch. Appl. Mech. 66, 315–325.
Sarkar  A and Eatock Taylor  R (2002), Dynamics of mooring cables in random seas, J. Fluids Struct. 16(2), 193–212.
Liu  YG and Bergdahl  L (1997), Influence of current and seabed friction on mooring cable response: Comparison between time-domain and frequency domain analysis, J Eng Struct 19(11), 945–953.
Clauss GF and Kuehnlein WL (1997), A new tool for sea-keeping tests: Nonlinear transient wave packets, Behavior of Offshore Structures BOSS’97, Delft, Vol 2 , 269–285.
Teigen P and Haver S (1997), The Heidrun TLP: Measured versus predicted response, Behavior of Offshore Structures BOSS’97, Delft, Vol 2 , 319–331.
Harland LA, Vugts JH, Jonathan P, and Taylor PH (1996), Extreme response of nonlinear dynamic systems using constrained simulations, 15th Conf Offshore Mech Arctic Engrg (OMAE), Florence, Italy, Vol I-A, 193–200.
Sødahl NR (1991), Methods for design and analysis of flexible risers, PhD thesis, MTA-report, Div Marine Struct, Norwgian Inst Tech, Trondheim, Norway.
Liu  Y and Bergdahl  L (1998), Extreme mooring cable tensions due to wave-frequency excitations, Appl. Ocean. Res. 20, 237–249.
Chang  WK, Pilipchuk  V, and Ibrahim  RA (1997), Fluid flow-induced nonlinear vibration of suspended cables, Nonlinear Dyn. 14, 377–406.
Chang WK (1997), Nonlinear Mixed Mode Dynamics of Suspended Cables under Random Excitation and Fluid Flow Interaction, PhD dissertation Wayne State Univ, Detroit MI.
Hikami  Y (1986), Rain vibrations of cable-stayed bridge, JAWE J Wind Engrg 27, 17–28. (in Japanese).
Hikami  Y and Shiraishi  N (1987), Rain-induced vibrations of cables in cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 29, 471–478.
Matsumoto M (1998), Observed behavior of prototype cable vibration and its generation mechanism, Bridge Aerodynamics, A Larsen and S Esdahl (eds), Belkema, Rotterdam, 189–211.
Main JA and Jones NP (1999), Full-scale measurements of stay cable vibration, Wind Engineering into the 21st Century, Balkema, Rotterdam, 963–970.
Matsumoto  M, Saitoh  T, Kitazawa  M, Shirato  H, and Nishizaki  T (1995), Response characteristics of rain-wind induced vbration of stay-cables of cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 57, 323–333.
Matsumoto  M, Shiraishi  N, and Shirato  H (1992), Rain-wind induced vibration of cables of cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 41–44, 2011–2022.
Versiebe  C and Ruscheweyh  H (1998), Recent research results concerning the exciting mechanisms of rain-wind-induced vibrations, J. Wind. Eng. Ind. Aerodyn. 74–76, 1005–1013.
Hikami  Y (1990), Rain- and wind-induced vibration, J Wind Engrg 27, 40.
Hikami  Y and Shiraishi  N (1988), Rain-wind-induced vibrations of cables in cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 30, 409–418.
Fujino  Y, Iwamoto  M, Ito  M, and Hikami  Y (1992), Wind tunnel experiments using 3D models and response prediction for a long-span suspension bridge, J. Wind. Eng. Ind. Aerodyn. 42, 1333–1344.
Honda A, Yamanaka T, Fujiwara T, and Saito T (1995), Wind tunnel tests on rain-induced vibration on the stay-cable, Proc Int Symp Cable Dynamics, Liege Belgium, 255–262.
Ohshima  K, Nakabayashi  M, Ogawa  K, and Sakai  Y (1998), Wind-induced oscillation of cable stayed bridge, JAWE J Wind Engrg 37(10), 655–664.
Yoshizumi  F and Inoue  H (2002), An experimental approach on aerodynamic stability of a cable-stayed cantilever bridge, J. Wind. Eng. Ind. Aerodyn. 90, 2099–2111.
Virlogeux  M (1999), Recent evolution of cable-stayed bridges, Engrg Struct 21, 737–755.
Virlogeux M and Deroubaix B (1994), Cable-Stayed and Suspension Bridges, Vols 1 & 2, FIP-IABSE, France.
Ruscheweyh HP (1999), The mechanism of rain-wind-induced vibration, Proc 10th Int Conf Wind Engrg, Vol 2, Balkema, Rotterdam, Denmark, 1041–1047.
Wang  L and Xu  YL (2003), Wind-rain-induced vibration of cable: An analytical model (1), Int. J. Solids Struct. 40, 1265–1280.
Xu  YL and Wang  LY (2003), Analytical study of wind-rain-induced cable vibration: SDOF model, J. Wind. Eng. Ind. Aerodyn. 91, 27–40.
Matsumoto M, Ishizaki H, Kitazawa M, Aoki J, and Fuji D (1995), Cable aerodynamics and its stabilization, Proc Int Symp Cable Dynamics, Liege Belgium, 289–296.
Versiebe  C (1998), Exciting mechanisms of rain-wind-induced vibrations, Struct. Eng. Int. (IABSE,Zurich,Switzerland) 2, 112–117.
Matsumoto  M, Daito  Y, Kanamura  T, Shigemura  Y, Sakuma  S, and Ishizaki  H (1998), Wind-induced vibration of cables of cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 74–76, 1015–1027.
Ogawa  Y, Matsumoto  M, Kitazawa  M, and Yamasaki  T (1998), Aerodynamic stability of the tower of a long-spanned cable-stayed bridge (Higashi-Kobe Bridge), JAWE J Wind Engrg 37(10), 501–510.
Yamaguchi H and Ito M (1995), Full-scale measurements and structural damping of cable-supported bridges, Proc Int Bridge Conf, Hong Kong, 557–564.
Yoshimura T, Savage MG, and Tanaka H (1995), Wind-induced vibrations of bridge stay-cables, Proc Int Symp Cable Dynamics, Liege Belgium, 437–444.
Cao DQ, Tucker RW, and Wang C (2001a), Aeroelastic stability of a Cosserat stay cable, Proc 4th Int Symp Cable Dynamics, 369–376.
Allam  SM and Data  TK (2000), Analysis of cable-stayed bridges under multi-component random ground motion by response spectrum method, Eng. Struct. 22, 1367–1377.
Yamaguchi H and Fujino Y (1998), Stayed-cable dynamics and its vibration control, Bridge Aerodynamics, A Larsen and S Esdah (eds), Balkema, Rotterdam, 235–254.
Fujino  Y, Warnitchai  P, and Pacheco  BM (1993), Active stiffness control of cable vibration, ASME J. Appl. Mech. 60, 984–953.
Yamagushi H and Dung NN (1992), Active wave control of sagged-cable vibration, Proc 1st Int Conf on Motion Vibration Control, 134–139.
Gimsing HJ (1983), Cable-Supported Bridges, John Wiley, Chichester, England.
Watson  SC and Stafford  D (1988), Cables in trouble, ASCE Civil Engrg 58(4), 38–41.
Yoshimura T, Inoue A, Kaji K, and Savage M (1989), A study on the aerodynamic stability of the Aratsu bridge, Proc Canada-Japan Workshop on Bridge Aerodynamics, 41–50.
Ito M, Fujino Y, Narita N, and Miyata (eds) (1991), Cable-Stayed Bridges: Their Recent Developments and Their Future, Elsevier, Amsterdam.
Kovacs  I (1982), Zur frage der seilschwingungen und der seildampfung, Die Bautechnik 10, 325–332.
Sulekh A (1990), Non-dimensionalized curves for modal damping in stay cables with viscous dampers, Master thesis, Univ of Tokyo.
Pacheco  BM, Fujino  Y, and Sulekh  A (1993), Estimation curve for modal damping in stay cables with viscous damper, ASCE J. Struct. Eng. 119(6), 1961–1979.
Krenk  S (2000), Vibration of a taut cable with an external damper, ASME J. Appl. Mech. 67, 772–776.
Dumortier A (1990), Etude dynamique du comportement des haubans de pont, Travail de fin d’etudes, Univ of Liege, Faculty of Sciences Appl.
Counasse C, Flahaux M, and Demars P (1990), Les haubans et leurs equipements, Extrait des Annales des Travaux Publics de Belgique, Pont de Wandre (2 eme partie), 1 , 45–69.
Lilien  JL and Pinto da Costa  A (1994), Vibration amplitudes caused by parametric excitation of cable stayed structures, J. Sound Vib. 174(1), 69–90.
Royer-Carfagni  GF (2003), Parametric-resonance-induced cable vibrations in network cable-stayed bridges: A continuum approach, J. Sound Vib. 262, 1191–1222.
Fujino  Y and Susumpow  T (1994), An experimental study on active control of planar cable vibration by axial support motion, Earthquake Eng. Struct. Dyn. 23, 1283–1297.
Warnitchai  P, Fujino  Y, Pacheco  BM, and Agret  R (1993), An experimental study on active tendon control of cable-stayed bridges, Earthquake Eng. Struct. Dyn. 22(2), 93–111.
Yang  JN and Giannopoulos  F (1979), Active control and stability of cable-stayed bridge, J. Eng. Mech. Div. 105, 677–694.
Yang  JN and Giannopoulos  F (1979), Active control of two-cable-stayed bridge, J. Eng. Mech. Div. 105, 795–805.
Achkire  Y and Preumont  A (1996), Active tendon control of cable-stayed bridges, Earthquake Eng. Struct. Dyn. 25(6), 585–597.
Preumont  A and Achkire  Y (1997), Active damping of structures with guy cables, J. Guid. Control Dyn. 20(2), 320–326.
Achkire  Y, Bossens  F, and Preumont  A (1998), Active damping and flutter control of cable-stayed bridges, J. Wind. Eng. Ind. Aerodyn. 74–76, 913–921.
Johnson EA, Baker GA, Spencer BF, and Fujino Y (2004), Semi-active damping of stay cables neglecting sag, J. Eng. Mech. Div. 130 (in press).

Figures

Grahic Jump Location
Three potentials with different wells and saddle points for α=γ=1.0
Grahic Jump Location
Schematic diagram of a suspended cable showing the unperturbed and perturbed configurations and coordinate system
Grahic Jump Location
Dependence of Cable natural frequencies on the cable parameter λ/π points Ci indicate 1:1 internal resonance 75
Grahic Jump Location
Bifurcation diagrams and stability boundaries 76a) Region I: unimodal response of the first in-plane mode; region II: first in-plane and first out-of-plane mixed mode interaction; region III: first in-plane, first and second out-of-plane mixed mode interaction; region IV four-mode interaction b) Stability boundaries of equilibria of the second in-plane, first and second out-of-plane modes, light shaded region indicates two-mode interactio, medium shaded is three-mode interaction, and dark shaded if four-mode interaction
Grahic Jump Location
Normalized time history records of mean square responses of cable modes 76
Grahic Jump Location
Dependece of mean square response on excitation level ζ1=0.004,ζ2=0.00011,ζ3=0.0001 and ζ4=0.0001,ωa1a2b1b2=2:2:1:276
Grahic Jump Location
Depenence of normalized mean square responses on internal detuning parameter for ζ1=0.004,ζ2=0.00011,ζ3=0.001,ζ40.0001, and σw2=0.01576
Grahic Jump Location
Probability density functions and power spectra of a) first in-plane mode, b) second in-plane mode, c) first out-of-plane mode, and d) second out-of-plane mode for ζ1=0.004,ζ2=0.00011,ζ3=0.001,ζ4=0.0001, and σw2=0.01576
Grahic Jump Location
a) Taut oceanographic mooring system, and b) Inverse-catenary mooring system 155
Grahic Jump Location
Tension power spectra of a taut oceanographic mooring system (– predicted, [[dashed_line]]measured) 155
Grahic Jump Location
Tension power spectra in inverse-catenary mooring system for two different sea waves a) ηs=2.89 m,fp=0.11 Hz,b) ηs=6.26 m,fp=0.081 Hz155
Grahic Jump Location
Dependence of the root mean square displacement response on the flow speed 182
Grahic Jump Location
Time history records of vertical and torsion cable motion including additional lift related to torsional motion 226
Grahic Jump Location
Probability density function of the short-circuit current 227
Grahic Jump Location
Schematic diagram of a mooring line analyzed by Sarkar and Eatok Taylor 240
Grahic Jump Location
Dynamic and quasi-static drag distribution over the cable length –Dynamic, –⋅– Quasi-dynamic 240
Grahic Jump Location
a) Drag distribution, b) power spectral density of cable surge response, c) power spectral density of cable tension for three excitation band-widths: –0.5–2.5 rad/s, [[dashed_line]]1–2 rad/s, –⋅– 1.25–1.75 rad/s 240
Grahic Jump Location
Power spectral density of out-of-plane cable response at s=L/2, –with friction, –⋅– without friction 240
Grahic Jump Location
Time history records and configuration diagrams for two different values of flow speed parameter a) less than the critical speed, b) greater than the critical speed 247
Grahic Jump Location
Definition of stretching, ξ, and transverse, ψ, coordinates 247
Grahic Jump Location
Time history records of the stretching motions as estimated by integrating Eq. (47) shown by dashed curves, and by the asymptotic approach shown by solid curves for two different values of the gravity parameter κ 247
Grahic Jump Location
Time history records of the stretching and transverse coordinates (ξ,ψ), the configuration diagrams and time history records of modal coordinates (W1,W2) for two different values of flow speed a) V=0.29, and b) V=0.3247
Grahic Jump Location
Time history records, spectra of stretching and transverse coordinates, configuration diagrams and time history records of modal coordinates for three different values of fluid flow speed a) V=0.4,b) V=0.7, and c) V=1.0248
Grahic Jump Location
Time history records and statistics of the fluid flow and cable motion under random fluid flow with mean flow speed E[Vf]=0.5, and standard deviation σΔVf=0.005 for μ=0.3,κ=1.0,248: a) Magnification sections of time history records of random fluid flow velocity, transverse and stretching motions, and stretching mean square; b) time history records of modal amplitudes and configuration diagram under random fluid flow speed; and c) power spectra and probability density functions of fluid flow speed and stretching displacement of the cable under random fluid flow
Grahic Jump Location
Bridge vibration amplitude dependence on wind velocity of bridges of main span length a) 365 m, b) 465 m 269
Grahic Jump Location
Recorded cable vibration showing cable acceleration in a) time domain, b) time and frequency domain (Wavelet) 269
Grahic Jump Location
a) Schematic diagram of a cable represented by a taut string with attached damper considered in reference 297b) dependence of rms displacement on damper location for passive, semi-active, and fully active dampers 297

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In