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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

The 100th Anniversary of the Timoshenko–Ehrenfest Beam Model

Isaac Elishakoff, Daniel Segalman, Firas Khasawneh

J. Vib. Acoust. December 2022, 144(6): 060301.

Paper No: VIB-22-1317

DOI: https://doi.org/10.1115/1.4055874

Published Online: October 19, 2022

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Topics: Collaboration, Euler-Bernoulli beam theory, Plates (structures), Shear (Mechanics), Shells, Timoshenko beam theory, Vibration

Journal Articles

Vibration of Complex Euler–Bernoulli and Timoshenko–Ehrenfest Beams Through Affine GPSFs

Arcangelo Messina

J. Vib. Acoust. December 2022, 144(6): 061001.

Paper No: VIB-22-1170

DOI: https://doi.org/10.1115/1.4055077

Published Online: August 10, 2022

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Topics: Boundary-value problems, Displacement, Finite element analysis, Free vibrations, Modeling, Plates (structures), Stress, Vibration, Euler-Bernoulli beam theory, Computer simulation

Journal Articles

Beam-Based Vibration Energy Harvesters Tunable Through Folding

Anup Pydah, R. C. Batra

J. Vib. Acoust. February 2019, 141(1): 011003.

Paper No: VIB-18-1080

DOI: https://doi.org/10.1115/1.4040576

Published Online: July 24, 2018

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Topics: Energy harvesting, Vibration, Excitation, Mode shapes, Shells, Euler-Bernoulli beam theory

Journal Articles

Dynamic Analyses of Axisymmetric Rotors Through Three-Dimensional Approaches and High-Fidelity Beam Theories

M. Filippi, E. Carrera

J. Vib. Acoust. December 2017, 139(6): 061008.

Paper No: VIB-17-1077

DOI: https://doi.org/10.1115/1.4036927

Published Online: August 1, 2017

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Topics: Rotors, Euler-Bernoulli beam theory, Disks, Kinetic energy, Finite element analysis, Dynamic analysis

Journal Articles

Vibration Analysis of Flexible Rotating Rings Using a Spectral Element Formulation

Danilo Beli, Priscilla Brandão Silva, José R. de França Arruda

J. Vib. Acoust. August 2015, 137(4): 041003.

Paper No: VIB-14-1311

DOI: https://doi.org/10.1115/1.4029828

Published Online: August 1, 2015

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Topics: Damping, Hoop stress, Pressure, Vibration analysis, Waves, Energy gap, Rotation, Equations of motion, Structural dynamics, Resonance

Journal Articles

Free Vibration Response of Thin and Thick Nonhomogeneous Shells by Refined One-Dimensional Analysis

Alberto Varello, Erasmo Carrera

J. Vib. Acoust. December 2014, 136(6): 061001.

Paper No: VIB-13-1173

DOI: https://doi.org/10.1115/1.4028127

Published Online: August 20, 2014

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Topics: Cylinders, Deformation, Displacement, Elasticity, Euler-Bernoulli beam theory, Finite element analysis, Finite element model, Free vibrations, Kinematics, Shapes

Journal Articles

Exact Solutions for Free Vibrations and Buckling of Double Tapered Columns With Elastic Foundation and Tip Mass

R. D. Firouz-Abadi, M. Rahmanian, M. Amabili

J. Vib. Acoust. October 2013, 135(5): 051017.

Paper No: VIB-12-1038

DOI: https://doi.org/10.1115/1.4023991

Published Online: June 18, 2013

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Topics: Boundary-value problems, Buckling, Free vibrations, Stress, Weight (Mass), Equations of motion, Inertia (Mechanics), Stiffness, Stability, Euler-Bernoulli beam theory

Journal Articles

Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass

Keivan Kiani, Ali Nikkhoo, Bahman Mehri

J. Vib. Acoust. October 2009, 131(5): 051009.

DOI: https://doi.org/10.1115/1.3147165

Published Online: September 16, 2009

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Topics: Design, Equations of motion, Euler-Bernoulli beam theory, Excitation, Shapes, Shear (Mechanics), Weight (Mass), Relaxation (Physics), Vibration, Pavement live loads

Journal Articles

Free Vibration Analysis of Frames Using the Transfer Dynamic Stiffness Matrix Method

Tsung-Hsien Tu, Jen-Fang Yu, Hsin-Chung Lien, Go-Long Tsai, B. P. Wang

J. Vib. Acoust. April 2008, 130(2): 024501.

DOI: https://doi.org/10.1115/1.2827366

Published Online: January 30, 2008

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Topics: Eigenvalues, Free vibrations, Stiffness, Eigenfunctions, Shapes, Euler-Bernoulli beam theory, Vibration, Finite element methods, Space frame structures

Journal Articles

Dynamic Stiffness Analysis of a Beam Based on Trigonometric Shear Deformation Theory

Jun Li, Hongxing Hua, Rongying Shen

J. Vib. Acoust. February 2008, 130(1): 011004.

DOI: https://doi.org/10.1115/1.2775513

Published Online: November 12, 2007

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Topics: Differential equations, Shear deformation, Stiffness, Euler-Bernoulli beam theory

Journal Articles

Vibration of a Cracked Cantilever Beam

T. G. Chondros, A. D. Dimarogonas

J. Vib. Acoust. July 1998, 120(3): 742–746.

DOI: https://doi.org/10.1115/1.2893892

Published Online: July 1, 1998

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Topics: Cantilever beams, Vibration, Fracture (Materials), Aluminum, Boundary-value problems, Differential equations, Displacement, Euler-Bernoulli beam theory, Fracture mechanics, Vibration analysis

Journal Articles

Finite Width Effects on the Critical Speed of Axially Moving Materials

C. C. Lin

J. Vib. Acoust. April 1998, 120(2): 633–634.

DOI: https://doi.org/10.1115/1.2893874

Published Online: April 1, 1998

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Topics: Boundary-value problems, Euler-Bernoulli beam theory

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

Experimental Study of Flexural Vibration of Wooden Beams by Levinson Beam Theory

T. Nakao, C. Tanaka, A. Takahashi, Y. Nishino

J. Vib. Acoust. July 1995, 117(3A): 378–380.

DOI: https://doi.org/10.1115/1.2874464

Published Online: July 1, 1995

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Topics: Euler-Bernoulli beam theory, Vibration

Journal Articles

Bending and Shear Damping in Beams: Frequency Domain Estimation Techniques

H. T. Banks, Y. Wang, D. J. Inman

J. Vib. Acoust. April 1994, 116(2): 188–197.

DOI: https://doi.org/10.1115/1.2930411

Published Online: April 1, 1994

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Topics: Damping, Shear (Mechanics), Approximation, Distributed parameter systems, Euler-Bernoulli beam theory, Parameter estimation

Journal Articles

Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads

S. H. Choi, C. Pierre, A. G. Ulsoy

J. Vib. Acoust. April 1992, 114(2): 249–259.

DOI: https://doi.org/10.1115/1.2930255

Published Online: April 1, 1992

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Topics: Modeling, Stress, Vibration, Equations of motion, Euler-Bernoulli beam theory, Differential equations, Rotational inertia

Journal Articles

A Unified Approach for the Dynamics of Beams Undergoing Arbitrary Spatial Motion

Z.-E. Boutaghou, A. G. Erdman

J. Vib. Acoust. October 1991, 113(4): 494–502.

DOI: https://doi.org/10.1115/1.2930213

Published Online: October 1, 1991

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Topics: Dynamics (Mechanics), Deflection, Deformation, Equations of motion, Euler-Bernoulli beam theory, Kinematics, Partial differential equations, Shapes, Vibration

Journal Articles

Dynamic Mechanical Properties of Spirally Wound Paper Tubes

L. C. Bank, T. D. Gerhardt, J. H. Gordis

J. Vib. Acoust. October 1989, 111(4): 489–490.

DOI: https://doi.org/10.1115/1.3269888

Published Online: October 1, 1989

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Topics: Mechanical properties, Euler-Bernoulli beam theory, Timoshenko beam theory, Anisotropy, Modal analysis, Stiffness, Vibration

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

The 100th Anniversary of the Timoshenko–Ehrenfest Beam Model

Vibration of Complex Euler–Bernoulli and Timoshenko–Ehrenfest Beams Through Affine GPSFs

Beam-Based Vibration Energy Harvesters Tunable Through Folding

Dynamic Analyses of Axisymmetric Rotors Through Three-Dimensional Approaches and High-Fidelity Beam Theories

Vibration Analysis of Flexible Rotating Rings Using a Spectral Element Formulation

Free Vibration Response of Thin and Thick Nonhomogeneous Shells by Refined One-Dimensional Analysis

Exact Solutions for Free Vibrations and Buckling of Double Tapered Columns With Elastic Foundation and Tip Mass

Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass

Free Vibration Analysis of Frames Using the Transfer Dynamic Stiffness Matrix Method

Dynamic Stiffness Analysis of a Beam Based on Trigonometric Shear Deformation Theory

Vibration of a Cracked Cantilever Beam

Finite Width Effects on the Critical Speed of Axially Moving Materials

Modeling and Control of an Electrorheological Sandwich Beam

Experimental Study of Flexural Vibration of Wooden Beams by Levinson Beam Theory

Bending and Shear Damping in Beams: Frequency Domain Estimation Techniques

Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads

A Unified Approach for the Dynamics of Beams Undergoing Arbitrary Spatial Motion

Dynamic Mechanical Properties of Spirally Wound Paper Tubes

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