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Journal Articles

Did S. P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Beam Theory?

Isaac Elishakoff

J. Vib. Acoust. December 2022, 144(6): 061012.

Paper No: VIB-22-1253

DOI: https://doi.org/10.1115/1.4055975

Published Online: November 9, 2022

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Topics: Euler-Bernoulli beam theory, Rotational inertia, Shear (Mechanics), Vibration, Shear deformation, Elasticity, Dynamics (Mechanics), Boundary-value problems, Acoustics

Journal Articles

Further Insights Into the Timoshenko–Ehrenfest Beam Theory

J.R. Banerjee, D. Kennedy, I. Elishakoff

J. Vib. Acoust. December 2022, 144(6): 061011.

Paper No: VIB-22-1226

DOI: https://doi.org/10.1115/1.4055974

Published Online: November 4, 2022

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Topics: Boundary-value problems, Euler-Bernoulli beam theory, Free vibrations, Rotational inertia, Shear deformation, Vibration

Journal Articles

Flexural Wave Propagation in Rigid Elastic Combined Metabeam

Abhigna Bhatt, Arnab Banerjee

J. Vib. Acoust. February 2023, 145(1): 011006.

Paper No: VIB-21-1379

DOI: https://doi.org/10.1115/1.4055174

Published Online: September 1, 2022

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Topics: Rotational inertia, Wave propagation, Visualization, Waves

Journal Articles

A Refinement of Mindlin Plate Theory Using Simultaneous Rotary Inertia and Shear Correction Factors

Andrew N. Norris

J. Vib. Acoust. June 2018, 140(3): 034503.

Paper No: VIB-17-1065

DOI: https://doi.org/10.1115/1.4038956

Published Online: February 9, 2018

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Topics: Rotational inertia, Shear (Mechanics), Plate theory, Waves

Journal Articles

Modeling and Analysis of Multilayered Elastic Beam Using Spectral Finite Element Method

Ahmet Unal, Gang Wang, Q. H. Zuo

J. Vib. Acoust. August 2016, 138(4): 041013.

Paper No: VIB-15-1103

DOI: https://doi.org/10.1115/1.4033355

Published Online: May 25, 2016

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Topics: Boundary-value problems, Damage, Displacement, Finite element analysis, Finite element methods, Stiffness, Wave propagation, Waves, Warping, Kinematics

Journal Articles

A New Methodology for Modeling and Free Vibrations Analysis of Rotating Shaft Based on the Timoshenko Beam Theory

S. H. Mirtalaie, M. A. Hajabasi

J. Vib. Acoust. April 2016, 138(2): 021012.

Paper No: VIB-15-1401

DOI: https://doi.org/10.1115/1.4032327

Published Online: January 22, 2016

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Topics: Deformation, Free vibrations, Modeling, Rotordynamics, Rotors, Shear (Mechanics), Timoshenko beam theory, Rotation, Boundary-value problems, Equations of motion

Journal Articles

Optimal Lumped Mass Matrices by Minimization of Modal Errors for Beam Elements

Zhanxuan Zuo, Shuang Li, Changhai Zhai, Lili Xie

J. Vib. Acoust. April 2014, 136(2): 021015.

Paper No: VIB-13-1093

DOI: https://doi.org/10.1115/1.4026247

Published Online: January 16, 2014

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Topics: Errors, Rotation, Rotational inertia

Journal Articles

Vibration and Sensitivity Analysis of a Beam With a Lumped Mass of Translational and Rotary Inertias

D. Wang

J. Vib. Acoust. June 2012, 134(3): 034502.

DOI: https://doi.org/10.1115/1.4005827

Published Online: April 24, 2012

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Topics: Cantilever beams, Rotational inertia, Sensitivity analysis, Vibration, Inertia (Mechanics), Finite element analysis

Journal Articles

Coupling of In-Plane Flexural, Tangential, and Shear Wave Modes of a Curved Beam

B. Kang, C. H. Riedel

J. Vib. Acoust. February 2012, 134(1): 011001.

DOI: https://doi.org/10.1115/1.4004676

Published Online: December 22, 2011

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Topics: Dispersion relations, Equations of motion, Frequency response, Mode shapes, Shear deformation, Shear waves, Spectra (Spectroscopy), Wave propagation, Waves, Elastic waves

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

The Two-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration Under Random and Harmonic Excitation

Lei Zuo, Samir A. Nayfeh

J. Vib. Acoust. February 2006, 128(1): 56–65.

DOI: https://doi.org/10.1115/1.2128639

Published Online: April 1, 2005

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Topics: Dampers, Damping, Design, Excitation, Optimization, Vibration, Stiffness, Algorithms, Frequency response, Rotational inertia

Journal Articles

A Thick-Beam Library Solution Method for Vibration-Based Characterization of Thick Composite Plates

Z. Zheng, E. O. Ayorinde, R. F. Gibson

J. Vib. Acoust. January 2001, 123(1): 76–83.

DOI: https://doi.org/10.1115/1.1286216

Published Online: March 1, 2000

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Topics: Composite materials, Optimization, Plates (structures), Vibration, Computation, Interpolation, Shear (Mechanics), Rotational inertia

Journal Articles

Exact Modeling of the Spatial Rigid Body Inertia Using the Finite Element Method

A. P. Christensen, A. A. Shabana

J. Vib. Acoust. July 1998, 120(3): 650–657.

DOI: https://doi.org/10.1115/1.2893879

Published Online: July 1, 1998

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Topics: Finite element methods, Inertia (Mechanics), Modeling, Equations of motion, Finite element analysis, Displacement, Engineering simulation, Plates (structures), Rotational inertia, Shapes

Journal Articles

In-Plane Vibration Modes of Arbitrarily Thick Disks

K. I. Tzou, J. A. Wickert, A. Akay

J. Vib. Acoust. April 1998, 120(2): 384–391.

DOI: https://doi.org/10.1115/1.2893842

Published Online: April 1, 1998

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Topics: Disks, Vibration, Aircraft, Boundary-value problems, Brakes, Cylinders, Deformation, Dimensions, Dynamic response, Equilibrium (Physics)

Journal Articles

On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 1: Formulation/Convergence Study

A. V. Singh, V. Kumar

J. Vib. Acoust. January 1998, 120(1): 287–294.

DOI: https://doi.org/10.1115/1.2893819

Published Online: January 1, 1998

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Topics: Boundary-value problems, Displacement, Fibers, Free vibrations, Numerical analysis, Polynomials, Rotational inertia, Shear deformation

Journal Articles

Vibration Localization in Rotating Shafts, Part 1: Theory

A. Galip Ulsoy, Christophe Pierre, Suhyun Choi

J. Vib. Acoust. January 1998, 120(1): 138–148.

DOI: https://doi.org/10.1115/1.2893796

Published Online: January 1, 1998

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Topics: Vibration, Rotational inertia

Journal Articles

On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 2: Applications

A. V. Singh, V. Kumar

J. Vib. Acoust. January 1998, 120(1): 295–300.

DOI: https://doi.org/10.1115/1.2893820

Published Online: January 1, 1998

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Topics: Fibers, Free vibrations, Displacement, Finite element analysis, Rotational inertia, Shear deformation

Journal Articles

Vibration Localization in Rotating Shafts, Part 2: Experiment

A. Galip Ulsoy, Christophe Pierre, Suhyun Choi

J. Vib. Acoust. January 1998, 120(1): 149–155.

DOI: https://doi.org/10.1115/1.2893798

Published Online: January 1, 1998

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Topics: Vibration, Rotational inertia, Steady state

Journal Articles

Effects of Shear Deformation and Rotary Inertia on the Free Vibration of a Rotating Annular Plate

A. Coˆte´, N. Atalla, J. Nicolas

J. Vib. Acoust. October 1997, 119(4): 641–643.

DOI: https://doi.org/10.1115/1.2889775

Published Online: October 1, 1997

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Topics: Free vibrations, Rotational inertia, Shear deformation, Disks, Vibration

Journal Articles

Damping of Composite Tubes With Embedded Viscoelastic Layers

Haiming Zhou, Mohan D. Rao

J. Vib. Acoust. July 1996, 118(3): 384–389.

DOI: https://doi.org/10.1115/1.2888194

Published Online: July 1, 1996

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Topics: Composite materials, Damping, Stiffness, Fibers, Modeling, Resonance, Rotational inertia, Shear (Mechanics), Shear deformation, Stress

Journal citation

NARROW

Did S. P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Beam Theory?

Further Insights Into the Timoshenko–Ehrenfest Beam Theory

Flexural Wave Propagation in Rigid Elastic Combined Metabeam

A Refinement of Mindlin Plate Theory Using Simultaneous Rotary Inertia and Shear Correction Factors

Modeling and Analysis of Multilayered Elastic Beam Using Spectral Finite Element Method

A New Methodology for Modeling and Free Vibrations Analysis of Rotating Shaft Based on the Timoshenko Beam Theory

Optimal Lumped Mass Matrices by Minimization of Modal Errors for Beam Elements

Vibration and Sensitivity Analysis of a Beam With a Lumped Mass of Translational and Rotary Inertias

Coupling of In-Plane Flexural, Tangential, and Shear Wave Modes of a Curved Beam

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

The Two-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration Under Random and Harmonic Excitation

A Thick-Beam Library Solution Method for Vibration-Based Characterization of Thick Composite Plates

Exact Modeling of the Spatial Rigid Body Inertia Using the Finite Element Method

In-Plane Vibration Modes of Arbitrarily Thick Disks

On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 1: Formulation/Convergence Study

Vibration Localization in Rotating Shafts, Part 1: Theory

On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 2: Applications

Vibration Localization in Rotating Shafts, Part 2: Experiment

Effects of Shear Deformation and Rotary Inertia on the Free Vibration of a Rotating Annular Plate

Damping of Composite Tubes With Embedded Viscoelastic Layers

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