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Journal Articles

AI-Timoshenko: Automatedly Discovering Simplified Governing Equations for Applied Mechanics Problems From Simulated Data

Zhanchao Huang, Chunjiang Li, Zhilong Huang, Yong Wang, Hanqing Jiang

J. Appl. Mech. October 2021, 88(10): 101006.

Paper No: JAM-21-1197

DOI: https://doi.org/10.1115/1.4051334

Published Online: June 14, 2021

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Topics: Displacement, Engineering mechanics, Euler-Bernoulli beam theory, Timoshenko beam theory, Vibration, Stress, Excitation, Finite element methods, Deformation

Journal Articles

On the Stresses and Deflections of Rectangular Beams

B. A. Boley, I. S. Tolins

J. Appl. Mech. September 1956, 23(3): 339–342.

DOI: https://doi.org/10.1115/1.4011333

Published Online: June 4, 2021

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Topics: Deflection, Stress, Elasticity, Shear (Mechanics), Strength (Materials), Timoshenko beam theory

Journal Articles

Periodic Solutions and Nonlinear Analysis Used for Evaluating of Dynamic Properties of Glued-Laminated Beams Reinforced With GRP

M. Naghipour, SHA. Hashemi Kachapi, M. Nematzadeh

J. Appl. Mech. January 2011, 78(1): 011019.

DOI: https://doi.org/10.1115/1.4002013

Published Online: October 26, 2010

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Topics: Composite materials, Dynamic response, Glued laminated timbers, Wood products, Epoxy adhesives, Glass, Composite building materials, Mathematical physics, Timoshenko beam theory, Instrumentation

Journal Articles

On the Quest for the Best Timoshenko Shear Coefficient

M. B. Rubin

J. Appl. Mech. January 2003, 70(1): 154–157.

DOI: https://doi.org/10.1115/1.1526122

Published Online: January 23, 2003

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Topics: Euler-Bernoulli beam theory, Inertia (Mechanics), Shear (Mechanics), Vibration, Kinematics, Timoshenko beam theory

Journal Articles

Discussion: “Shear Coefficients for Timoshenko Beam Theory” (Hutchinson, J. R., 2001, ASME J. Appl. Mech., 68 , pp. 87–92)

N. G. Stephen

J. Appl. Mech. November 2001, 68(6): 959–960.

DOI: https://doi.org/10.1115/1.1412454

Published Online: November 1, 2001

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Topics: Shear (Mechanics), Timoshenko beam theory, Shear deformation, Variational techniques

Journal Articles

Closure to “On Shear Coefficients for Timoshenko Beam Theory” (2001, ASME J. Appl. Mech., 68 , p. 959)

J. R. Hutchinson

J. Appl. Mech. November 2001, 68(6): 960–961.

DOI: https://doi.org/10.1115/1.1412455

Published Online: November 1, 2001

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Topics: Shear (Mechanics), Timoshenko beam theory, Shear deformation, Engineering teachers, Variational techniques

Journal Articles

Shear Coefficients for Timoshenko Beam Theory

J. R. Hutchinson, Life Mem. ASME, Professor Emeritus,

J. Appl. Mech. January 2001, 68(1): 87–92.

DOI: https://doi.org/10.1115/1.1349417

Published Online: August 15, 2000

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Topics: Cross section (Physics), Shear (Mechanics), Timoshenko beam theory

Journal Articles

Comparison of the In-Plane Natural Frequencies of Symmetric Cross-Ply Laminated Beams Based on the Bernoulli-Euler and Timoshenko Beam Theories

V. Yldrm, E. Sancaktar, E. Kral

J. Appl. Mech. June 1999, 66(2): 410–417.

DOI: https://doi.org/10.1115/1.2791064

Published Online: October 25, 1999

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Topics: Timoshenko beam theory

Journal Articles

Solution of Impact-Induced Flexural Waves in a Circular Ring by the Method of Characteristics

V. P. W. Shim, S. E. Quah

J. Appl. Mech. September 1998, 65(3): 569–579.

DOI: https://doi.org/10.1115/1.2789097

Published Online: September 1, 1998

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Topics: Elastic waves, Equations of motion, Interpolation, Timoshenko beam theory, Waves

Journal Articles

On the Use of Deflection Components in Timoshenko Beam Theory

K. H. Lee, C. M. Wang

J. Appl. Mech. December 1997, 64(4): 1006–1008.

DOI: https://doi.org/10.1115/1.2788964

Published Online: December 1, 1997

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Topics: Deflection, Timoshenko beam theory

Journal Articles

Multiply Loaded Timoshenko Beam on a Stressed Orthotropic Half-Plane via a Thin Elastic Layer

H. Bjarnehed

J. Appl. Mech. June 1993, 60(2): 541–547.

DOI: https://doi.org/10.1115/1.2900827

Published Online: June 1, 1993

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Topics: Deflection, Finite element model, Integral equations, Shear (Mechanics), Shear stress, Stress, Tangential loading, Timoshenko beam theory

Journal Articles

The Usefulness of Elementary Theory for the Linear Vibrations of Layered, Orthotropic Elastic Beams and Corrections Due to Two-Dimensional End Effects

J. M. Duva, J. G. Simmonds

J. Appl. Mech. March 1991, 58(1): 175–180.

DOI: https://doi.org/10.1115/1.2897145

Published Online: March 1, 1991

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Topics: Euler-Bernoulli beam theory, Linear vibration, Poisson ratio, Shear (Mechanics), Strips, Timoshenko beam theory

Journal Articles

Vibrations of Free Hollow Circular Cylinders

J. R. Hutchinson, S. A. El-Azhari

J. Appl. Mech. September 1986, 53(3): 641–646.

DOI: https://doi.org/10.1115/1.3171824

Published Online: September 1, 1986

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Topics: Circular cylinders, Vibration, Timoshenko beam theory, Elasticity, Finite element analysis, Shear (Mechanics), Traction

Journal Articles

On the Transverse Vibration of Beams of Rectangular Cross-Section

J. R. Hutchinson, S. D. Zillmer

J. Appl. Mech. March 1986, 53(1): 39–44.

DOI: https://doi.org/10.1115/1.3171735

Published Online: March 1, 1986

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Topics: Vibration, Stress, Timoshenko beam theory, Shear (Mechanics), Approximation

Journal Articles

A Laminated Beam Theory With Interlayer Slip

H. Murakami

J. Appl. Mech. September 1984, 51(3): 551–559.

DOI: https://doi.org/10.1115/1.3167673

Published Online: September 1, 1984

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Topics: Euler-Bernoulli beam theory, Stress, Boundary-value problems, Deflection, Deformation, Kinematics, Shear (Mechanics), Stiffness, Timoshenko beam theory, Virtual work principle

Journal Articles

Natural Frequencies of Out-of-Plane Vibration of Arcs

T. Irie, G. Yamada, K. Tanaka

J. Appl. Mech. December 1982, 49(4): 910–913.

DOI: https://doi.org/10.1115/1.3162635

Published Online: December 1, 1982

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Topics: Vibration, Boundary-value problems, Timoshenko beam theory

Journal Articles

Theoretical and Experimental Investigation of Stress Waves at a Junction of Three Bars

Thomas P. Desmond

J. Appl. Mech. March 1981, 48(1): 148–154.

DOI: https://doi.org/10.1115/1.3157557

Published Online: March 1, 1981

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Topics: Junctions, Stress, Waves, Differential equations, Partial differential equations, Timoshenko beam theory

Journal Articles

Discussion: “Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory” (Nicholson, J. W., and Simmonds, J. G., 1977, ASME J. Appl. Mech., 44, pp. 337–338)

T. Leko

J. Appl. Mech. December 1977, 44(4): 798–799.

DOI: https://doi.org/10.1115/1.3424198

Published Online: December 1, 1977

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Topics: Euler-Bernoulli beam theory, Timoshenko beam theory

Journal Articles

Closure to “Discussions of ‘Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory’” (1977, ASME J. Appl. Mech., 44, pp. 797–799)

J. W. Nicholson, J. G. Simmonds

J. Appl. Mech. December 1977, 44(4): 799.

DOI: https://doi.org/10.1115/1.3424199

Published Online: December 1, 1977

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Topics: Timoshenko beam theory

Journal Articles

Discussion: “Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory” (Nicholson, J. W., and Simmonds, J. G., 1977, ASME J. Appl. Mech., 44, pp. 337–338)

M. Levinson

J. Appl. Mech. December 1977, 44(4): 798.

DOI: https://doi.org/10.1115/1.3424197

Published Online: December 1, 1977

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Topics: Euler-Bernoulli beam theory, Timoshenko beam theory

Journal citation

NARROW

AI-Timoshenko: Automatedly Discovering Simplified Governing Equations for Applied Mechanics Problems From Simulated Data

On the Stresses and Deflections of Rectangular Beams

Periodic Solutions and Nonlinear Analysis Used for Evaluating of Dynamic Properties of Glued-Laminated Beams Reinforced With GRP

On the Quest for the Best Timoshenko Shear Coefficient

Discussion: “Shear Coefficients for Timoshenko Beam Theory” (Hutchinson, J. R., 2001, ASME J. Appl. Mech., 68 , pp. 87–92)

Closure to “On Shear Coefficients for Timoshenko Beam Theory” (2001, ASME J. Appl. Mech., 68 , p. 959)

Shear Coefficients for Timoshenko Beam Theory

Comparison of the In-Plane Natural Frequencies of Symmetric Cross-Ply Laminated Beams Based on the Bernoulli-Euler and Timoshenko Beam Theories

Solution of Impact-Induced Flexural Waves in a Circular Ring by the Method of Characteristics

On the Use of Deflection Components in Timoshenko Beam Theory

Multiply Loaded Timoshenko Beam on a Stressed Orthotropic Half-Plane via a Thin Elastic Layer

The Usefulness of Elementary Theory for the Linear Vibrations of Layered, Orthotropic Elastic Beams and Corrections Due to Two-Dimensional End Effects

Vibrations of Free Hollow Circular Cylinders

On the Transverse Vibration of Beams of Rectangular Cross-Section

A Laminated Beam Theory With Interlayer Slip

Natural Frequencies of Out-of-Plane Vibration of Arcs

Theoretical and Experimental Investigation of Stress Waves at a Junction of Three Bars

Discussion: “Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory” (Nicholson, J. W., and Simmonds, J. G., 1977, ASME J. Appl. Mech., 44, pp. 337–338)

Closure to “Discussions of ‘Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory’” (1977, ASME J. Appl. Mech., 44, pp. 797–799)

Discussion: “Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory” (Nicholson, J. W., and Simmonds, J. G., 1977, ASME J. Appl. Mech., 44, pp. 337–338)

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