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Journal Articles

A Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Solutions of a Nonlinear Partial Differential Equation With a Linear Complex Boundary Condition

Xuefeng Wang, Weidong Zhu

J. Vib. Acoust. June 2020, 142(3): 034502.

Paper No: VIB-19-1436

DOI: https://doi.org/10.1115/1.4045775

Published Online: March 3, 2020

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Topics: Boundary-value problems, Partial differential equations, Stability, String, Springs, Jacobian matrices

Journal Articles

Analytical Solution of Biot's Equations Based on Potential Functions Method

Abolfazl Hasani Baferani, Abdolreza Ohadi

J. Vib. Acoust. October 2015, 137(5): 051016.

Paper No: VIB-14-1215

DOI: https://doi.org/10.1115/1.4030715

Published Online: July 10, 2015

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Topics: Acoustical properties, Acoustics, Boundary-value problems, Damping, Differential equations, Fluids, Foams (Chemistry), Noise control, Partial differential equations, Porous materials

Journal Articles

Impact Mechanics of Elastic Structures With Point Contact

Róbert Szalai

J. Vib. Acoust. August 2014, 136(4): 041002.

Paper No: VIB-13-1229

DOI: https://doi.org/10.1115/1.4027242

Published Online: April 18, 2014

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Topics: Cantilever beams, Chatter, Delay differential equations, Impulse (Physics), Modeling, Vibration, Mode shapes, Partial differential equations, Delays, Dynamics (Mechanics)

Journal Articles

Nonlinear Transverse Vibrations and 3:1 Internal Resonances of a Beam With Multiple Supports

E. Özkaya, S. M. Bağdatlı, H. R. Öz

J. Vib. Acoust. April 2008, 130(2): 021013.

DOI: https://doi.org/10.1115/1.2775508

Published Online: March 21, 2008

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Topics: Damping, Frequency response, Resonance, Vibration, Equations of motion, Partial differential equations, Excitation

Journal Articles

Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams

Asghar Ramezani, Aria Alasty, Javad Akbari

J. Vib. Acoust. October 2006, 128(5): 611–615.

DOI: https://doi.org/10.1115/1.2202167

Published Online: January 14, 2006

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Topics: Free vibrations, Microbeams, Rotational inertia, Shear deformation, Vibration, Partial differential equations, Nonlinear differential equations

Journal Articles

Compatibility Equations in the Theory of Elasticity

Igor V. Andrianov, Jan Awrejcewicz

J. Vib. Acoust. April 2003, 125(2): 244–245.

DOI: https://doi.org/10.1115/1.1547681

Published Online: April 1, 2003

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Topics: Boundary-value problems, Elasticity, Equilibrium (Physics), Stress, Deformation, Partial differential equations, Stress analysis (Engineering)

Journal Articles

Viscosity Effects on the Propagation of Acoustic Transients

G. C. Gaunaurd, Fellow ASME, G. C. Everstine

J. Vib. Acoust. January 2002, 124(1): 19–25.

DOI: https://doi.org/10.1115/1.1419203

Published Online: July 1, 2001

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Topics: Acoustics, Approximation, Damping, Dispersion relations, Partial differential equations, Transients (Dynamics), Viscosity, Excitation

Journal Articles

Free Response of Twisted Plates with Fixed Support Separation

Eric M. Mockensturm, Assistant Professor, C. D. Mote,, Jr., President,

J. Vib. Acoust. April 2001, 123(2): 175–180.

DOI: https://doi.org/10.1115/1.1340626

Published Online: September 1, 2000

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Topics: Constitutive equations, Eigenfunctions, Eigenvalues, Equations of motion, Equilibrium (Physics), Partial differential equations, Plates (structures), Separation (Technology), Stress, Tension

Journal Articles

Nonlinear Dynamics of a Taut String with Material Nonlinearities

M. J. Leamy, Assoc. Mem. ASME, O. Gottlieb, Assoc. Mem. ASME

J. Vib. Acoust. January 2001, 123(1): 53–60.

DOI: https://doi.org/10.1115/1.1325411

Published Online: August 1, 2000

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Topics: Excitation, String, Partial differential equations

Journal Articles

Two-Mode Interaction of a Beam with a Nonlinear Boundary Condition

Won Kyoung Lee, Myeong Hwan Yeo

J. Vib. Acoust. January 1999, 121(1): 84–88.

DOI: https://doi.org/10.1115/1.2893952

Published Online: January 1, 1999

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Topics: Boundary-value problems, Excitation, Resonance, Differential equations, Partial differential equations, Springs, Stability, Steady state

Journal Articles

Dynamic Response of a Coupled Spinning Timoshenko Shaft System

E. Wong, J. W. Zu

J. Vib. Acoust. January 1999, 121(1): 110–113.

DOI: https://doi.org/10.1115/1.2893936

Published Online: January 1, 1999

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Topics: Dynamic response, Spin (Aerodynamics), Spinning (Textile), Differential equations, Computer simulation, Partial differential equations, Time-varying systems, Torsion, Vibration

Journal Articles

Effect of Two-to-One Internal Resonances in a Nonlinearly Restrained Fluid Valve

G. Anlas¸

J. Vib. Acoust. January 1999, 121(1): 59–63.

DOI: https://doi.org/10.1115/1.2893948

Published Online: January 1, 1999

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Topics: Fluids, Resonance, Valves, Boundary-value problems, Distributed parameter systems, Frequency response, Partial differential equations, Relief valves, Stability, Steady state

Journal Articles

Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations

V. N. Pilipchuk, A. F. Vakakis

J. Vib. Acoust. April 1998, 120(2): 434–440.

DOI: https://doi.org/10.1115/1.2893848

Published Online: April 1, 1998

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Topics: Oscillations, String, Equations of motion, Nonlinear dynamical systems, Partial differential equations

Journal Articles

Nonlinear Vibrations of Elastically-Constrained Rotating Disks

L. Yang, S. G. Hutton

J. Vib. Acoust. April 1998, 120(2): 475–483.

DOI: https://doi.org/10.1115/1.2893854

Published Online: April 1, 1998

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Topics: Rotating disks, Vibration, Equilibrium (Physics), Deformation, Differential equations, Displacement, Equations of motion, Partial differential equations, Plate theory, Stress

Journal Articles

Large In-Plane Motion of a Rotor

L. Cveticanin

J. Vib. Acoust. January 1998, 120(1): 267–271.

DOI: https://doi.org/10.1115/1.2893816

Published Online: January 1, 1998

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Topics: Rotors, Vibration, Boundary-value problems, Nonlinear differential equations, Partial differential equations

Journal Articles

Modeling and Control of an Electrorheological Sandwich Beam

C. D. Rahn, S. Joshi

J. Vib. Acoust. January 1998, 120(1): 221–227.

DOI: https://doi.org/10.1115/1.2893809

Published Online: January 1, 1998

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Topics: Approximation, Control equipment, Control modeling, Control systems, Dynamics (Mechanics), Elasticity, Engineering simulation, Euler-Bernoulli beam theory, Feedback, Modal analysis

Journal Articles

Harmonically Forced Wave Propagation in Elastic Cables With Small Curvature

M. Behbahani-Nejad, N. C. Perkins

J. Vib. Acoust. July 1997, 119(3): 390–397.

DOI: https://doi.org/10.1115/1.2889735

Published Online: July 1, 1997

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Topics: Cables, Wave propagation, Waves, Deformation, Equilibrium (Physics), Excitation, Partial differential equations, String, Wave frequency

Journal Articles

Finite Difference Time Marching in the Frequency Domain: A Parabolic Formulation for the Convective Wave Equation

K. J. Baumeister, K. L. Kreider

J. Vib. Acoust. October 1996, 118(4): 622–629.

DOI: https://doi.org/10.1115/1.2888344

Published Online: October 1, 1996

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Topics: Wave equations, Ducts, Steady state, Acoustics, Storage, Boundary-value problems, Flow (Dynamics), Partial differential equations, Transients (Dynamics)

Journal Articles

Bifurcation and Modal Interaction in a Simplified Model of Bending-Torsion Vibrations of the Thin Elastica

J. P. Cusumano, D.-C. Lin

J. Vib. Acoust. January 1995, 117(1): 30–42.

DOI: https://doi.org/10.1115/1.2873864

Published Online: January 1, 1995

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Topics: Bifurcation, Torsion, Vibration, Attractors, Differential equations, Partial differential equations, Stability

Journal Articles

Nonlinear Vibrations of a Beam-Spring-Mass System

M. Pakdemirli, A. H. Nayfeh

J. Vib. Acoust. October 1994, 116(4): 433–439.

DOI: https://doi.org/10.1115/1.2930446

Published Online: October 1, 1994

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Topics: Springs, Vibration, Boundary-value problems, Damping, Frequency response, Partial differential equations, Resonance, Simply supported beams

Journal citation

NARROW

A Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Solutions of a Nonlinear Partial Differential Equation With a Linear Complex Boundary Condition

Analytical Solution of Biot's Equations Based on Potential Functions Method

Impact Mechanics of Elastic Structures With Point Contact

Nonlinear Transverse Vibrations and 3:1 Internal Resonances of a Beam With Multiple Supports

Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams

Compatibility Equations in the Theory of Elasticity

Viscosity Effects on the Propagation of Acoustic Transients

Free Response of Twisted Plates with Fixed Support Separation

Nonlinear Dynamics of a Taut String with Material Nonlinearities

Two-Mode Interaction of a Beam with a Nonlinear Boundary Condition

Dynamic Response of a Coupled Spinning Timoshenko Shaft System

Effect of Two-to-One Internal Resonances in a Nonlinearly Restrained Fluid Valve

Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations

Nonlinear Vibrations of Elastically-Constrained Rotating Disks

Large In-Plane Motion of a Rotor

Modeling and Control of an Electrorheological Sandwich Beam

Harmonically Forced Wave Propagation in Elastic Cables With Small Curvature

Finite Difference Time Marching in the Frequency Domain: A Parabolic Formulation for the Convective Wave Equation

Bifurcation and Modal Interaction in a Simplified Model of Bending-Torsion Vibrations of the Thin Elastica

Nonlinear Vibrations of a Beam-Spring-Mass System

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