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Journal Articles

Nonlinear Oscillations of Dielectric Elastomer Actuators With Stretch-Dependent Permittivity

Xinyu Xing, Lingling Chen, Chuo Zhao, Shengyou Yang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2022, 89(11): 111009.
Paper No: JAM-22-1284
https://doi.org/10.1115/1.4055588
Published Online: September 27, 2022
View Article titled, Nonlinear Oscillations of Dielectric Elastomer Actuators With Stretch-Dependent Permittivity
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Topics: Dynamic response, Elastomers, Electrical properties, Oscillations, Actuators, Thin films, Hamilton's principle
Journal Articles

Mixed Convolved Action Variational Methods for Poroelasticity

Bradley T. Darrall, Gary F. Dargush
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2016, 83(9): 091011.
Paper No: JAM-16-1190
https://doi.org/10.1115/1.4033753
Published Online: July 13, 2016
View Article titled, Mixed Convolved Action Variational Methods for Poroelasticity
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Topics: Boundary-value problems, Cavities, Displacement, Finite element analysis, Fluids, Impulse (Physics), Pressure, Spacetime, Stress, Traction
Journal Articles

A Nonclassical Model for Circular Mindlin Plates Based on a Modified Couple Stress Theory

S.-S. Zhou, X.-L. Gao
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. May 2014, 81(5): 051014.
Paper No: JAM-13-1454
https://doi.org/10.1115/1.4026274
Published Online: January 10, 2014
View Article titled, A Nonclassical Model for Circular Mindlin Plates Based on a Modified Couple Stress Theory
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Topics: Elasticity, Plates (structures), Rotation, Stress, Hamilton's principle, Size effect, Deflection, Equations of motion, Pressure
Journal Articles

Some Further Remarks on Hamilton’s Principle

Firdaus E. Udwadia, George Leitmann, Hancheol Cho
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011014.
https://doi.org/10.1115/1.4002435
Published Online: October 22, 2010
View Article titled, Some Further Remarks on Hamilton’s Principle
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Topics: Equations of motion, Hamilton's principle, Inverse problems, Variational techniques, Variational principles
Journal Articles

A Discrete Quasi-Coordinate Formulation for the Dynamics of Elastic Bodies

G. M. T. D’Eleuterio, T. D. Barfoot
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2007, 74(2): 231–239.
https://doi.org/10.1115/1.2189873
Published Online: January 30, 2006
View Article titled, A Discrete Quasi-Coordinate Formulation for the Dynamics of Elastic Bodies
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Topics: Deformation, Displacement, Dynamics (Mechanics), Equations of motion, Hamilton's principle, Rotation, Stiffness, Kinetic energy, Potential energy, Elasticity
Journal Articles

Hamiltonian Mechanics for Functionals Involving Second-Order Derivatives

B. Tabarrok, C. M. Leech, Fellow ASME
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2002, 69(6): 749–754.
https://doi.org/10.1115/1.1505626
Published Online: October 31, 2002
View Article titled, Hamiltonian Mechanics for Functionals Involving Second-Order Derivatives
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Topics: Differential equations, Equations of motion, Hamilton-Jacobi equations, Hamilton's principle, Kinetic energy, Momentum, Dynamics (Mechanics), Euler-Bernoulli beam theory, Dynamic systems, Modeling
Journal Articles

On the Existence of Mayer’s Potential

V. M. Cˇovic´, M. M. Lukacˇevic´
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 1997, 64(3): 606–612.
https://doi.org/10.1115/1.2788936
Published Online: September 1, 1997
View Article titled, On the Existence of Mayer’s Potential
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Topics: Dynamic systems, Hamilton's principle
Journal Articles

Theory for Multilayered Anisotropic Plates With Weakened Interfaces

Zhen-qiang Cheng, A. K. Jemah, F. W. Williams
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1996, 63(4): 1019–1026.
https://doi.org/10.1115/1.2787221
Published Online: December 1, 1996
View Article titled, Theory for Multilayered Anisotropic Plates With Weakened Interfaces
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Topics: Anisotropy, Plates (structures), Displacement, Bonding, Composite materials, Dynamic response, Hamilton's principle, Micromechanics (Engineering), Modeling, Springs
Journal Articles

Lagrange’s Equations, Hamilton’s Equations, and Kane’s Equations: Interrelations, Energy Integrals, and a Variational Principle

D. L. Mingori
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 1995, 62(2): 505–510.
https://doi.org/10.1115/1.2895958
Published Online: June 1, 1995
View Article titled, Lagrange’s Equations, Hamilton’s Equations, and Kane’s Equations: Interrelations, Energy Integrals, and a Variational Principle
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Topics: Hamilton's principle, Variational principles
Journal Articles

Free Vibrations of Laminated Composite Noncircular Thin Cylindrical Shells

K. Suzuki, G. Shikanai, A. W. Leissa
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1994, 61(4): 861–871.
https://doi.org/10.1115/1.2901569
Published Online: December 1, 1994
View Article titled, Free Vibrations of Laminated Composite Noncircular Thin Cylindrical Shells
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Topics: Composite materials, Free vibrations, Pipes, Equations of motion, Shells, Boundary-value problems, Hamilton's principle, Kinetic energy, Lamination
Journal Articles

Thickness Expansions for Higher-Order Effects in Vibrating Cylindrical Shells

J. G. McDaniel, J. H. Ginsberg
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1993, 60(2): 463–469.
https://doi.org/10.1115/1.2900816
Published Online: June 1, 1993
View Article titled, Thickness Expansions for Higher-Order Effects in Vibrating Cylindrical Shells
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Topics: Pipes, Cylinders, Differential equations, Displacement, Energy storage, Hamilton's principle, Kinetic energy, Polynomials, Shells, Thin shells
Journal Articles

On the Interaction of Torsion and Bending in Rotating Shafts

C. Nataraj
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 1993, 60(1): 239–241.
https://doi.org/10.1115/1.2900762
Published Online: March 1, 1993
View Article titled, On the Interaction of Torsion and Bending in Rotating Shafts
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Topics: Torsion, Vibration, Boundary-value problems, Deformation, Displacement, Equations of motion, Hamilton's principle
Journal Articles

On the Transitivity Equations of Rigid-Body Dynamics

John G. Papastavridis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1992, 59(4): 955–962.
https://doi.org/10.1115/1.2894066
Published Online: December 1, 1992
View Article titled, On the Transitivity Equations of Rigid-Body Dynamics
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Topics: Dynamics (Mechanics), Equations of motion, Hamilton's principle, Kinematics
Journal Articles

The Equations of Motion for the Torsional and Bending Vibrations of a Stranded Cable

Warren N. White, Srinivasan Venkatasubramanian, P. Michael Lynch, Chi-Lung D. Huang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1992, 59(2S): S224–S229.
https://doi.org/10.1115/1.2899493
Published Online: June 1, 1992
View Article titled, The Equations of Motion for the Torsional and Bending Vibrations of a Stranded Cable
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Topics: Cables, Equations of motion, Vibration, Degrees of freedom, Elasticity, Geometry, Hamilton's principle, Inertia (Mechanics)
Journal Articles

An Analytical Model for Unanchored Fluid-Filled Tanks Under Base Excitation

S. Natsiavas
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1988, 55(3): 648–653.
https://doi.org/10.1115/1.3125843
Published Online: September 1, 1988
View Article titled, An Analytical Model for Unanchored Fluid-Filled Tanks Under Base Excitation
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Topics: Excitation, Fluids, Dynamic response, Hamilton's principle, Roofs, Springs, Storage tanks
Journal Articles

General Dynamic Equations of Helical Springs With Static Solution and Experimental Verification

Yuyi Lin, Albert P. Pisano
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1987, 54(4): 910–917.
https://doi.org/10.1115/1.3173138
Published Online: December 1, 1987
View Article titled, General Dynamic Equations of Helical Springs With Static Solution and Experimental Verification
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Topics: Equations of motion, Springs, Compression, Bending (Stress), Hamilton's principle, Variational techniques, Wire
Journal Articles

Hamilton’s Principle in Continuum Mechanics

A. Bedford, Author, S. L. Passman, Reviewer
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Book Reviews
J. Appl. Mech. September 1986, 53(3): 731.
https://doi.org/10.1115/1.3171846
Published Online: September 1, 1986
View Article titled, Hamilton’s Principle in Continuum Mechanics
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Topics: Continuum mechanics, Hamilton's principle
Journal Articles

Incremental Hamilton’s Principle With Multiple Time Scales for Nonlinear Aperiodic Vibrations of Shells

S. L. Lau, Y. K. Cheung
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. June 1986, 53(2): 465–466.
https://doi.org/10.1115/1.3171785
Published Online: June 1, 1986
View Article titled, Incremental Hamilton’s Principle With Multiple Time Scales for Nonlinear Aperiodic Vibrations of Shells
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Topics: Hamilton's principle, Shells, Vibration
Journal Articles

A Variational Approach to the Dynamics of Structures Having Mixed or Discontinuous Boundary Conditions

P. J. Torvik
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1984, 51(4): 831–836.
https://doi.org/10.1115/1.3167733
Published Online: December 1, 1984
View Article titled, A Variational Approach to the Dynamics of Structures Having Mixed or Discontinuous Boundary Conditions
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Topics: Boundary-value problems, Dynamics (Mechanics), Elastic plates, Free vibrations, Hamilton's principle, Harmonic motion, Steady state, Variational principles
Journal Articles

Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation

S. L. Lau, Y. K. Cheung, S. Y. Wu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1984, 51(4): 837–844.
https://doi.org/10.1115/1.3167734
Published Online: December 1, 1984
View Article titled, Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation
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Topics: Elastic plates, Hamilton's principle, Nonlinear vibration, Frequency response, Vibration, Computation, Finite element analysis, Finite element methods, Free vibrations, Plates (structures)