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REVIEW ARTICLES

Review of inverse analysis for indirect measurement of impact force

[+] Author and Article Information
Hirotsugu Inoue

Department of Mechanical and Control Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro, Tokyo 152-8552, Japan; inoueh@mep.titech.ac.jp

John J Harrigan, Stephen R Reid

Department of Mechanical Engineering, UMIST, PO Box 88, Manchester M60 1QD, United Kingdom; john.j.harrigan@umist.ac.uk, steve.reid@umist.ac.uk

Appl. Mech. Rev 54(6), 503-524 (Nov 01, 2001) (22 pages) doi:10.1115/1.1420194 History:
Copyright © 2001 by ASME
Topics: Force
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References

Lundberg  B and Henchoz  A (1977), Analysis of elastic waves from two-point strain measurement, Exp. Mech. 17, 213–218.
Engl HW, Hanke M, and Neubauer A (1996), Regularization of Inverse Problems, Kluwer Academic, Dordrecht.
Groetsch CW (1993), Inverse Problems in the Mathematical Sciences, Vieweg, Braunschweig.
Stevens KK (1987), Force identification problems—an overview, Proc 1987 SEM Spring Conf Exp Mech, Houston, SEM, 838–844.
Goodier  JN, Jahsman  WE, and Ripperger  EA (1959), An experimental surface-wave method for recording force-time curves in elastic impacts, ASME J. Appl. Mech. 26, 3–7.
Doyle  JF (1984), An experimental method for determining the dynamic contact law, Exp. Mech. 24, 10–16.
Chang  C and Sun  CT (1989), Determining transverse impact force on a composite laminate by signal deconvolution, Exp. Mech. 29, 414–419.
Wu  E, Tsai  T-D, and Yen  C-S (1995), Two methods for determining impact-force history on elastic plates, Exp. Mech. 35, 11–18.
Yen  C-S and Wu  E (1995), On the inverse problem of rectangular plates subjected to elastic impact, Part II: Experimental verification and further applications, ASME J. Appl. Mech. 62, 699–705.
Wu  E, Yeh  J-C, and Yen  C-S (1994), Impact on composite laminated plates: an inverse method, Int. J. Impact Eng. 15, 417–433.
Tsai  C-Z, Wu  E, and Luo  B-H (1998), Forward and inverse analysis for impact on sandwich panels, AIAA J. 36, 2130–2136.
Hansen PC (1998), Rank-Deficient and Discrete Ill-Posed Problems, SIAM, Philadelphia.
Tanaka  H and Ohkami  Y (1997), Estimation of impact force on a space vehicle based on an inverse analysis technique (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. C 63C, 1172–1178.
Hojo  A, Chatani  A, and Uemura  F (1989), An estimation of impact force by convolution integral (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. A 55A, 477–482.
Zhu  J and Lu  Z (1991), A time domain method for identifying dynamic loads on continuous systems, J. Sound Vib. 148, 137–146.
Holzer  AJ (1978), A technique for obtaining compressive strength at high strain rates using short load cells, Int. J. Mech. Sci. 20, 553–560.
Doyle  JF (1984), Further developments in determining the dynamic contact law, Exp. Mech. 24, 265–270.
Doyle  JF (1987), Determining the contact force during the transverse impact of plates, Exp. Mech. 27, 68–72.
Doyle  JF (1987), Experimentally determining the contact force during the transverse impact of an orthotropic plate, J. Sound Vib. 118, 441–448.
Doyle  JF (1993), Force identification from dynamic responses of a bimaterial beam, Exp. Mech. 33, 64–69.
Martin  MT and Doyle  JF (1996), Impact force identification from wave propagation responses, Int. J. Impact Eng. 18, 65–77.
Rizzi SA and Doyle JF (1989), Force identification for impact problems on a half plane, Computational Techniques for Contact, Impact, Penetration, and Perforation of Solids, ASME AMD-103, 163–182.
Inoue  H, Watanabe  R, Shibuya  T, and Koizumi  T (1989), Measurement of impact force by the deconvolution method, Trans JSNDI 2, 63–73.
Inoue  H, Shibuya  T, Koizumi  T, and Fukuchi  J (1989), Measurement of impact force applied to a plate by the deconvolution method, Trans JSNDI 2, 74–83.
Wilcox  DJ (1978), Numerical Laplace transformation and inversion, Int. J. Electr. Eng. Educ. 15, 247–265.
Inoue  H, Kamibayashi  M, Kishimoto  K, Shibuya  T, and Koizumi  T (1992), Numerical Laplace transformation and inversion using fast Fourier transform, JSME Int. J., Ser. I 35I, 319–324.
Nakao  T, Tanaka  C, and Takahashi  A (1988), Source wave analysis of impact force on wood based panel floor (in Japanese), J. Soc. Mater. Sci. Jpn. 37, 565–570.
Inoue  H, Kishimoto  K, Shibuya  T, and Harada  K (1998), Regularization of numerical inversion of the Laplace transform for the inverse analysis of impact force, JSME Int. J., Ser. A 41A, 473–480.
Hansen  PC (1992), Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev. 34, 561–580.
Inoue H, Kishimoto K, Shibuya T, and Koizumi T (1993), Estimation of impact force by an inverse analysis, Inverse Problems in Engineering Mechanics (IUTAM Symp, Tokyo, Japan), Springer-Verlag, 169–178.
Inoue  H, Kishimoto  K, Shibuya  T, and Koizumi  T (1992), Estimation of impact load by inverse analysis (Optimal transfer function for inverse analysis), JSME Int. J., SER. I 35I, 420–427.
Kishimoto K, Inoue H, Shibuya T, and Koizumi T (1993), An inverse analysis of impact load (Measurement of impact force of cantilever by applying the optimal transfer function), Computational Engineering (1st Pan-Pacific Conf Comput Eng, Seoul, Korea), Elsevier, 309–314.
Bertero M, De Mol C, and Viano GA (1980), The stability of inverse problems, Inverse Scattering Problems in Optics, Springer-Verlag, 161–214.
Doyle  JF (1997), A wavelet deconvolution method for impact force identification, Exp. Mech. 37, 403–408.
Whiston  GS (1984), Remote impact analysis by use of propagated acceleration signals, I: Theoretical methods, J. Sound Vib. 97, 35–51.
Jordan  RW and Whiston  GS (1984), Remote impact analysis by use of propagated acceleration signals, II: Comparison between theory and experiment, J. Sound Vib. 97, 53–63.
Kishimoto  K, Kuroda  M, Aoki  S, and Sakata  M (1986), A measuring system for dynamic stress intensity factors using a FFT analyzer (in Japanese), J. Soc. Mater. Sci. Jpn. 35, 850–853.
Inoue  H, Shibuya  T, Koizumi  T, and Kishimoto  K (1990), Measurement of impact load in instrumented impact testing (in Japanese), J JSNDI 39, 390–395.
Bateman  VI, Carne  TG, Gregory  DL, Attaway  SW, and Yoshimura  HR (1991), Force reconstruction for impact tests, ASME J. Vibr. Acoust. 113, 192–200.
Kim  JT and Lyon  RH (1992), Cepstral analysis as a tool for robust processing, deverbaration and detection of transients, Mech. Syst. Signal Process. 6, 1–15.
Lin  SQ and Bapat  CN (1993), Extension of clearance and impact force estimation approaches to a beam-stop system, J. Sound Vib. 163, 423–428.
McCarthy  DJ and Lyon  RH (1995), Recovery of impact signatures in machine structures, Mech. Syst. Signal Process. 9, 465–483.
Daubechies I (1992), Ten lectures on wavelets, SIAM, Philadelphia.
Yen  C-S and Wu  E (1995), On the inverse problem of rectangular plates subjected to elastic impact, Part I: Method development and numerical verification, ASME J. Appl. Mech. 62, 692–698.
Inoue  H, Ishida  H, Kishimoto  K, and Shibuya  T (1991), Measurement of impact load by using an inverse analysis technique (Comparison of methods for estimating the transfer function and its application to the instrumented Charpy impact test), JSME Int. J., Ser. I 34I, 453–458.
Tohyama  M and Lyon  RH (1989), Transfer function phase and truncated impulse response, J. Acoust. Soc. Am. 86, 2025–2029.
Wu  E, Tsai  C-Z, and Tseng  L-H (1998), A deconvolution method for force reconstruction in rods under axial impact, J. Acoust. Soc. Am. 104 Pt 1, 1418–1426.
Harrigan JJ, Reid SR, and Reddy TY (1998), Accurate measurement of impact force pulses in deforming structural components, Experimental Mechanics, Advances in Design, Testing and Analysis, (Proc 11th Int Conf Exp Mech, Oxford, UK), Balkema, 149–154.
DeRusso PM, Roy RJ, Close CM, and Desrochers AA (1998), State Variables for Engineers, 2nd ed, John Wiley & Sons, New York.
Trujillo DM and Busby HR (1997), Practical Inverse Analysis on Engineering, CRC Press.
Hollandsworth  PE and Busby  HR (1989), Impact force identification using the general inverse technique, Int J. Impact Eng. 8, 315–322.
Busby HR and Trujillo DM (1993), An inverse problem for a plate under pulse loading, Inverse Problems in Engineering: Theory and Practice (1st Conference in a Series on Inverse Problems in Engineering, Palm Coast, FL), ASME, 155–161.
Bateman  VI, Carne  TG, and McCall  DM (1992), Force reconstruction for impact tests of an energy-absorbing nose, Int. J. Anal. Exp. Modal Anal. 7, 41–50.
Chandrashekhara  K, Chukwujekwu Okafor  A, and Jiang  YP (1998), Estimation of contact force on composite plates using impact-induced strain and neural networks, Composites, Part B 29B, 363–370.
Kishimoto K, Inoue H, and Shibuya T (2000), Dynamic force calibration for measuring impact fracture toughness using the Charpy testing machine, Pendulum Impact Testing: A Century of Progress, ASTM STP 1380 , 253–266.
Harrigan JJ, Reid SR, and Reddy TY (1998), Inertial effects on the crushing strength of wood loaded along the grain, Experimental Mechanics, Advances in Design, Testing and Analysis, (Proc 11th Int Conf Exp Mech, Oxford, UK), Balkema, 193–198.
Michaels  JE and Pao  Y-H (1985), The inverse source problem for an oblique force on an elastic plate, J. Acoust. Soc. Am. 77, 2005–2011.
Michaels  JE and Pao  Y-H (1986), Determination of dynamic forces from wave motion measurements, ASME J. Appl. Mech. 53, 61–68.
Buttle  DJ and Scruby  CB (1990), Characterization of particle impact by quantitative acoustic emission, Wear 137, 63–90.
Buttle DJ and Scruby CB (1991), Characterization of dust impact process at low velocity by acoustic emission, Acoustic Emission: Current Practice and Future Directions, ASTM STP 1077 , 273–286.
Inoue  H, Ikeda  N, Kishimoto  K, Shibuya  T, and Koizumi  T (1995), Inverse analysis of the magnitude and direction of impact force, JSME Int. J., Ser. A 38A, 84–91.
Wu  E, Yeh  J-C, and Yen  C-S (1994), Identification of impact forces at multiple locations on laminated plates, AIAA J. 32, 2433–2439.
Doyle  JF (1987), An experimental method for determining the location and time of initiation of an unknown dispersing pulse, Exp. Mech. 27, 229–233.
Choi  K and Chang  F-K (1994), Identification of foreign object impact in structures using distributed sensors, J. Intell. Mater. Syst. Struct. 5, 864–869.
Doyle  JF (1994), A genetic algorithm for determining the location of structural impacts, Exp. Mech. 34, 37–44.
Martin  MT and Doyle  JF (1996), Impact force location in frame structures, Int. J. Impact Eng. 18, 79–97.
Inoue  H, Kishimoto  K, and Shibuya  T (1996), Experimental wavelet analysis of flexural waves in beams, Exp. Mech. 36, 212–217.
Kishimoto  K, Inoue  H, Hamada  M, and Shibuya  T (1995), Time-frequency analysis of dispersive waves by means of wavelet transform, ASME J. Appl. Mech. 62, 841–846.
Ohkami  Y and Tanaka  H (1997), Estimation of impact force and its location exerted on spacecraft (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. C. 63C, 4246–4252.
Gaul  L and Hurlebaus  S (1998), Identification of the impact location on a plate using wavelets, Mech. Syst. Signal Process. 12, 783–795.
Briggs  JC and Tse  MK (1992), Impact force identification using extracted modal parameters and pattern matching, Int. J. Impact Eng. 12, 361–372.
Antunes  J, Paulino  M, and Piteau  P (1998), Remote identification of impact forces on loosely supported tubes: Part 2—Complex vibro-impact motions, J. Sound Vib. 215, 1043–1064.
Arai M, Nishida T, and Adachi T (2000), Identification of dynamic pressure distribution applied to the elastic thin plate, Inverse Problems in Engineering Mechanics II (Int Sym Inverse Problems in Eng Mech 2000, Nagano, Japan), Elsevier, 129–138.
De Araüijo  M, Antunes,  J, and Piteau  P (1998), Remote identification of impact forces on loosely supported tubes: Part 1—Basic theory and experiments, J. Sound Vib. 215, 1015–1041.
Johnson  CD (1998), Identification of unknown, time-varying forces/moments in dynamics and vibration problems using a new approach to deconvolution, Shock Vib. 5, 181–197.
Ma  CK, Tuan  PC, Lin  DC, and Liu  CS (1998), A study of an inverse method for the estimation of impulsive loads, Int. J. Syst. Sci. 29, 663–672.
Ohkami  Y and Tanaka  H (1998), Improvement of impact force estimation exerted on spacecraft and its accuracy (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. C 64C, 2019–2025.
Paulino  M, Antunes  J, and Izquierdo  P (1999), Remote identification of impact forces on loosely supported tubes: Analysis of multi-supported systems, ASME J. Pressure Vessel Technol. 121, 61–70.
Rao  Z, Shi  Q, and Hagiwara  I (1999), Optimal estimation of dynamic loads for multiple-input system, ASME J. Vibr. Acoust. 121, 397–401.
Sundin  KG and Åhrström,  BO (1999), Method for investigation of frictional properties at impact loading, J. Sound Vib. 222, 669–677.
Tsuji  T, Kawada  Y, Suzuki  Y, Yamaguchi  T, and Noda  N (1999), Identification of an impact force by radiated sound from the impacted body (Non-contact measuring experiments of the identification by the inverse analysis) (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. A 65A, 701–707.

Figures

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Impact force estimated by: a) direct deconvolution and b) the Wiener filter 31.
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A back-propagation neural network for estimation of impact force 54. (Reprinted with permission from Elsevier Science.)
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Impact force history estimated by a neural network 54. (Reprinted with permission from Elsevier Science.)
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Impact of a rod with the hammer of the Charpy testing machine: calibration test 45.
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Strain responses of the hammer in the testing of PMMA specimen 45.
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Impact forces estimated by deconvolution 45.
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The load cell assembly used in the drop-hammer dynamic-compression test 48.
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Result of drop-hammer test on an American oak cylinder: before (left) and after (right) deconvolution 48.
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Result of drop-hammer test on a mild steel tube: before a) and after b) deconvolution 48.
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A simply supported beam subjected to two-dimensional impact force at the center of its span 61.
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The magnitude and direction of impact force estimated from a good pair of strain responses (e1(t) and e2(t)) (Ref. 61).
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The magnitude and direction of impact force estimated from a bad pair of strain responses (e1(t) and e3(t)) (Ref. 61).
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The condition numbers of the transfer function matrix at every frequencies for the good pair a) and the bad pair b) of strain responses 61.
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Locations of impact and strain gauges of a laminated plate 62. (Reprinted with permission from the American Institute of Aeronautics and Astronautics.)
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Three impact forces estimated from strain responses and measured by impact hammers 62. (Reprinted with permission from the American Institute of Aeronautics and Astronautics.)
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Acceleration response at a location away from the impact location for Hertzian impact of an infinite beam 35. (Reprinted with permission from the Academic Press.)
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Longitudinal impact of a slender rod 31.
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Results of the calibration test: a) impact force between the tup and the rod, b) strain response of the hammer (α: release angle of the hammer) 45.
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Experimental setup in Wu et al. 8. (Reprinted with permission from the Society for Experimental Mechanics.)
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Impact force estimated from bending strain of the plate 24.
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Moduli of transfer functions for simple beam structures 21. (Reprinted with permission from Elsevier Science.)
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Impact forces on the finite beam estimated from each record and from two records of responses 21. (Reprinted with permission from Elsevier Science.)
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Impact force estimated from three strain records 8. (Reprinted with permission from the Society for Experimental Mechanics.)
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Impact forces estimated from each strain record 8. (Reprinted with permission from the Society for Experimental Mechanics.)
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Impact force estimated by: a) the conjugate gradient method (without non-negativity constraint) and b) the gradient projection method (with non-negativity constraint); the solid curves represent the forces measured directly by the impact hammer 9.
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Estimates of an impact force at various values of the rank; solid curve: estimated data, broken curve: directly measured data, dotted curve: calibration data 13. (Reprinted with permission from the Japan Society of Mechanical Engineers.)
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Impact on a steel plate with a steel rod 24.
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The effect of small errors in distance on the estimate of the time history by deconvolution: a) underestimation of distance, b) correct estimation of distance and c) overestimation of distance 35. (Reprinted with permission from the Academic Press.)
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Effect of error in the guess of the impact location on the estimates of the time history 65. (Reprinted with permission from the Society for Experimental Mechanics.)
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Correlation between two estimates of the time history as a function of guessed impact location 65. (Reprinted with permission from the Society for Experimental Mechanics.)
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Convergence of population over the generations 65. (Reprinted with permission from the Society for Experimental Mechanics.)
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Arrangement of sensors for estimating the wave velocity and the impact location 67. (Reprinted with permission from the Society for Experimental Mechanics.)
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The group velocity and impact location estimated by a time-frequency analysis by means of wavelet transform 67. (Reprinted with permission from the Society for Experimental Mechanics.)
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Schematic of the procedure for grid point generation 44.
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Comparisons of the identified and the true impact locations for the eight examples using a hammer as the impactor. Arrangement of the strain gages (G1, G2, G3) is also shown 9.
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Determination of an elliptic region containing the impact location 69. (Reprinted with permission from the Japan Society for Mechanical Engineers.)
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Distribution of the penalty quadratic form of the estimated time history 69. (Reprinted with permission from the Japan Society for Mechanical Engineers.)
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Schematic of ball drop test apparatus and test structure used for testing the force identification technique 71. (Reprinted with permission from Elsevier Science.)
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Error plots resulting from pattern matching between the uncorrected modal constants and the database of modal constants using the magnitude and phase information in the acceleration signal 71. (Reprinted with permission from Elsevier Science.)

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