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Journal Articles

Upper and Lower Bounds for Special Eigenvalues

F. C. Appl, C. F. Zorowski

J. Appl. Mech. June 1959, 26(2): 246–250.

DOI: https://doi.org/10.1115/1.4011990

Published Online: June 23, 2021

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Topics: Eigenvalues, Buckling, Eigenfunctions, Stress, Theorems (Mathematics)

Journal Articles

On the Transverse Vibrations of Rectangular Orthotropic Plates

N. J. Huffington, Jr., W. H. Hoppmann, II

J. Appl. Mech. September 1958, 25(3): 389–395.

DOI: https://doi.org/10.1115/1.4011833

Published Online: June 16, 2021

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Topics: Plates (structures), Vibration, Eigenfunctions, Boundary-value problems

Journal Articles

The End Problem of Rectangular Strips

G. Horvay

J. Appl. Mech. March 1953, 20(1): 87–94.

DOI: https://doi.org/10.1115/1.4010599

Published Online: June 4, 2021

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Topics: Strips, Approximation, Stress, Eigenfunctions, Eigenvalues, Fibers, Polynomials, Shapes, Thrust, Traction

Journal Articles

Thin Circular Conical Shells Under Arbitrary Loads

N. J. Hoff

J. Appl. Mech. December 1955, 22(4): 557–562.

DOI: https://doi.org/10.1115/1.4011154

Published Online: June 4, 2021

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Topics: Shells, Stress, Cylinders, Eigenfunctions, Partial differential equations, Pipes

Journal Articles

General Solutions of the Equations of Elasticity and Consolidation for a Porous Material

M. A. Biot

J. Appl. Mech. March 1956, 23(1): 91–96.

DOI: https://doi.org/10.1115/1.4011213

Published Online: June 4, 2021

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Topics: Elasticity, Porous materials, Stress, Displacement, Eigenfunctions, Fluids

Journal Articles

Symplectic Analysis of Wrinkles in Elastic Layers With Graded Stiffnesses

Jianjun Sui, Junbo Chen, Xiaoxiao Zhang, Guohua Nie, Teng Zhang

J. Appl. Mech. January 2019, 86(1): 011008.

Paper No: JAM-18-1467

DOI: https://doi.org/10.1115/1.4041620

Published Online: October 18, 2018

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Topics: Boundary-value problems, Displacement, Eigenfunctions, Eigenvalues, Simulation, Wavelength, Elasticity, Numerical analysis

Includes: Supplementary data

Journal Articles

The Method of Receptances for Continuous Rods

Amit Maha, Y. M. Ram

J. Appl. Mech. July 2014, 81(7): 071009.

Paper No: JAM-14-1020

DOI: https://doi.org/10.1115/1.4027370

Published Online: April 21, 2014

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Topics: Closed loop systems, Eigenvalues, Poles (Building), Rods, Excitation, Eigenfunctions, Errors, Actuators

Journal Articles

An Augmented State Formulation for Modeling and Analysis of Multibody Distributed Dynamic Systems

K. Noh, B. Yang

J. Appl. Mech. May 2014, 81(5): 051011.

Paper No: JAM-13-1187

DOI: https://doi.org/10.1115/1.4026124

Published Online: January 7, 2014

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Topics: Boundary-value problems, Dynamic systems, Eigenfunctions, Eigenvalues, Laplace transforms, Modeling, Multibody systems, Transfer functions, Transients (Dynamics), Frequency response

Journal Articles

2D Elastodynamic Solution for the Impact Response of Laminated Composites

Jiawen Xie, Anthony M. Waas

J. Appl. Mech. April 2014, 81(4): 041015.

Paper No: JAM-13-1272

DOI: https://doi.org/10.1115/1.4025276

Published Online: October 16, 2013

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Topics: Boundary-value problems, Composite materials, Displacement, Mode shapes, Steady state, Stress, Transients (Dynamics), Vibration, Elastodynamics, Free vibrations

Journal Articles

An Analytical Singular Element for Kirchhoff Plate Bending With V-Shaped Notches

Weian Yao, Shan Wang

J. Appl. Mech. September 2012, 79(5): 051016.

DOI: https://doi.org/10.1115/1.4006448

Published Online: June 29, 2012

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Topics: Deformation, Displacement, Eigenfunctions, Eigenvalues, Finite element methods, Fracture (Materials), Stress, Stress singularity, Stiffness, Poisson ratio

Journal Articles

Buckling of a Circular Plate Resting Over an Elastic Foundation in Simple Shear Flow

Haoxiang Luo, C. Pozrikidis

J. Appl. Mech. September 2008, 75(5): 051007.

DOI: https://doi.org/10.1115/1.2937137

Published Online: July 15, 2008

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Topics: Buckling, Shear flow, Membranes, Eigenvalues, Eigenfunctions, Shear stress

Journal Articles

Elastic Stress and Magnetic Field Concentration Near the Vertex of a Soft-Ferromagnetic 2D Compound Wedge

Davresh Hasanyan, Zhanming Qin, Liviu Librescu

J. Appl. Mech. July 2008, 75(4): 041013.

DOI: https://doi.org/10.1115/1.2912937

Published Online: May 14, 2008

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Topics: Eigenvalues, Magnetic fields, Stress, Wedges, Magnetic susceptibility, Stress concentration, Eigenfunctions

Journal Articles

Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear

Xionghua Wu, Robert G. Parker

J. Appl. Mech. May 2008, 75(3): 031014.

DOI: https://doi.org/10.1115/1.2839892

Published Online: May 1, 2008

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Topics: Deflection, Deformation, Eigenfunctions, Eigenvalues, Gears, Planetary gears, Vibration, Springs, Stiffness

Journal Articles

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

P. D. Spanos, A. Sofi, M. Di Paola

J. Appl. Mech. March 2007, 74(2): 315–324.

DOI: https://doi.org/10.1115/1.2198253

Published Online: February 6, 2006

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Topics: Boundary-value problems, Differential equations, Eigenfunctions, Fokker-Planck equation, Probability, White noise, Harmonic oscillators, Computer simulation, Approximation, Density

Journal Articles

Sharp Corner Functions for Mindlin Plates

O. G. McGee, J. W. Kim, A. W. Leissa

J. Appl. Mech. January 2005, 72(1): 1–9.

DOI: https://doi.org/10.1115/1.1795221

Published Online: February 1, 2005

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Topics: Corners (Structural elements), Plate theory, Plates (structures), Boundary-value problems, Eigenfunctions, Stress, Buckling

Journal Articles

End Effects in Prestrained Plates Under Compression

B. Karp

J. Appl. Mech. November 2004, 71(6): 816–824.

DOI: https://doi.org/10.1115/1.1794703

Published Online: January 27, 2005

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Topics: Buckling, Compression, Eigenfunctions, Eigenvalues, Plates (structures), Rubber, Stress, Solids, Tension, Saint-Venant's principle

Journal Articles

The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System

K. M. Liew, Fellow ASME, Professor, X. B. Liu

J. Appl. Mech. September 2004, 71(5): 677–690.

DOI: https://doi.org/10.1115/1.1782648

Published Online: November 9, 2004

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Topics: Bifurcation, Density, Diffusion (Physics), Diffusion processes, Eigenvalues, Emission spectroscopy, Filters, Noise (Sound), Probability, Spectroscopy

Journal Articles

Anisotropic Elastic Tubes of Arbitrary Cross Section Under Arbitrary End Loads: Separation of Beamlike and Decaying Solutions

P. Ladevèze, J. G. Simmonds

J. Appl. Mech. July 2005, 72(4): 500–510.

DOI: https://doi.org/10.1115/1.1934532

Published Online: July 29, 2004

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Topics: Anisotropy, Kinematics, Stress, Boundary-value problems, Displacement, Eigenfunctions, Differential equations, Separation (Technology)

Journal Articles

Saint-Venant Decay Rates for the Rectangular Cross Section Rod

N. G. Stephen, P. J. Wang

J. Appl. Mech. May 2004, 71(3): 429–433.

DOI: https://doi.org/10.1115/1.1687794

Published Online: June 22, 2004

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Topics: Displacement, Eigenvalues, Finite element analysis, Plane strain, Stress, Torsion, Modeling, Stiffness, Warping, Dimensions

Journal Articles

Nonintegrability of an Infinite-Degree-of-Freedom Model for Unforced and Undamped, Straight Beams

K. Yagasaki

J. Appl. Mech. September 2003, 70(5): 732–738.

DOI: https://doi.org/10.1115/1.1602483

Published Online: October 10, 2003

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Topics: Algebra, Chaos, Computer simulation, Degrees of freedom, Differential equations, Eigenfunctions, Eigenvalues, Vibration, Trajectories (Physics), Modeling

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Journal citation

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Supplemental Material

Upper and Lower Bounds for Special Eigenvalues

On the Transverse Vibrations of Rectangular Orthotropic Plates

The End Problem of Rectangular Strips

Thin Circular Conical Shells Under Arbitrary Loads

General Solutions of the Equations of Elasticity and Consolidation for a Porous Material

Symplectic Analysis of Wrinkles in Elastic Layers With Graded Stiffnesses

The Method of Receptances for Continuous Rods

An Augmented State Formulation for Modeling and Analysis of Multibody Distributed Dynamic Systems

2D Elastodynamic Solution for the Impact Response of Laminated Composites

An Analytical Singular Element for Kirchhoff Plate Bending With V-Shaped Notches

Buckling of a Circular Plate Resting Over an Elastic Foundation in Simple Shear Flow

Elastic Stress and Magnetic Field Concentration Near the Vertex of a Soft-Ferromagnetic 2D Compound Wedge

Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Sharp Corner Functions for Mindlin Plates

End Effects in Prestrained Plates Under Compression

The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System

Anisotropic Elastic Tubes of Arbitrary Cross Section Under Arbitrary End Loads: Separation of Beamlike and Decaying Solutions

Saint-Venant Decay Rates for the Rectangular Cross Section Rod

Nonintegrability of an Infinite-Degree-of-Freedom Model for Unforced and Undamped, Straight Beams

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