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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

Publisher: ASME

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

Paper No: VIB-19-1436

https://doi.org/10.1115/1.4045775

Published Online: March 3, 2020

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

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

Publisher: ASME

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

Paper No: VIB-14-1215

https://doi.org/10.1115/1.4030715

Published Online: July 10, 2015

View Article titled, Analytical Solution of Biot's Equations Based on Potential Functions Method

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

Publisher: ASME

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

Paper No: VIB-13-1229

https://doi.org/10.1115/1.4027242

Published Online: April 18, 2014

View Article titled, Impact Mechanics of Elastic Structures With Point Contact

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

Publisher: ASME

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

https://doi.org/10.1115/1.2775508

Published Online: March 21, 2008

View Article titled, Nonlinear Transverse Vibrations and 3:1 Internal Resonances of a Beam With Multiple Supports

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

Publisher: ASME

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

https://doi.org/10.1115/1.2202167

Published Online: January 14, 2006

View Article titled, Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams

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

Publisher: ASME

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

https://doi.org/10.1115/1.1547681

Published Online: April 1, 2003

View Article titled, Compatibility Equations in the Theory of Elasticity

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

Publisher: ASME

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

https://doi.org/10.1115/1.1419203

Published Online: July 1, 2001

View Article titled, Viscosity Effects on the Propagation of Acoustic Transients

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,

Publisher: ASME

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

https://doi.org/10.1115/1.1340626

Published Online: September 1, 2000

View Article titled, Free Response of Twisted Plates with Fixed Support Separation

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

Publisher: ASME

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

https://doi.org/10.1115/1.1325411

Published Online: August 1, 2000

View Article titled, Nonlinear Dynamics of a Taut String with Material Nonlinearities

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893952

Published Online: January 1, 1999

View Article titled, Two-Mode Interaction of a Beam with a Nonlinear Boundary Condition

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893936

Published Online: January 1, 1999

View Article titled, Dynamic Response of a Coupled Spinning Timoshenko Shaft System

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¸

Publisher: ASME

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

https://doi.org/10.1115/1.2893948

Published Online: January 1, 1999

View Article titled, Effect of Two-to-One Internal Resonances in a Nonlinearly Restrained Fluid Valve

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893848

Published Online: April 1, 1998

View Article titled, Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893854

Published Online: April 1, 1998

View Article titled, Nonlinear Vibrations of Elastically-Constrained Rotating Disks

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893816

Published Online: January 1, 1998

View Article titled, Large In-Plane Motion of a Rotor

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

Publisher: ASME

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

https://doi.org/10.1115/1.2893809

Published Online: January 1, 1998

View Article titled, Modeling and Control of an Electrorheological Sandwich Beam

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

Publisher: ASME

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

https://doi.org/10.1115/1.2889735

Published Online: July 1, 1997

View Article titled, Harmonically Forced Wave Propagation in Elastic Cables With Small Curvature

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

Publisher: ASME

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

https://doi.org/10.1115/1.2888344

Published Online: October 1, 1996

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

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

Publisher: ASME

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

https://doi.org/10.1115/1.2873864

Published Online: January 1, 1995

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

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

Publisher: ASME

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

https://doi.org/10.1115/1.2930446

Published Online: October 1, 1994

View Article titled, Nonlinear Vibrations of a Beam-Spring-Mass System

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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