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Journal Articles

Transverse Impact on Beams and Plates

A. C. Eringen

J. Appl. Mech. December 1953, 20(4): 461–468.

DOI: https://doi.org/10.1115/1.4010748

Published Online: June 4, 2021

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Topics: Plates (structures), Deflection, Galerkin method, Integral equations

Journal Articles

Vibrations and Stability of an Axially Moving Rectangular Composite Plate

Xiao-Dong Yang, Li-Qun Chen, Jean W. Zu

J. Appl. Mech. January 2011, 78(1): 011018.

DOI: https://doi.org/10.1115/1.4002002

Published Online: October 26, 2010

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Topics: Composite materials, Galerkin method, Resonance, Stability, Vibration, Partial differential equations

Journal Articles

Stabilized Finite Element Methods for the Schrödinger Wave Equation

Raguraman Kannan, Arif Masud

J. Appl. Mech. March 2009, 76(2): 021203.

DOI: https://doi.org/10.1115/1.3059564

Published Online: January 14, 2009

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Topics: Eigenvalues, Schrödinger equation, Finite element analysis, Galerkin method, Finite element methods, Bricks

Journal Articles

On the Magnetic Field Effect in Electroconductive Plates Under Nonconservative Loading

A. Milanese, P. Marzocca, M. Belubekyan, K. Ghazaryan, H. P. Mkrtchyan

J. Appl. Mech. January 2009, 76(1): 011015.

DOI: https://doi.org/10.1115/1.3005573

Published Online: November 12, 2008

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Topics: Galerkin method, Magnetic fields, Plates (structures), Stability, Stress, Vibration, Damping, Boundary-value problems, Optimization

Journal Articles

Alternative Approaches for the Derivation of Discontinuous Galerkin Methods for Nonlinear Mechanics

L. Noels, R. Radovitzky

J. Appl. Mech. September 2007, 74(5): 1031–1036.

DOI: https://doi.org/10.1115/1.2712228

Published Online: July 17, 2006

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Topics: Deformation, Galerkin method, Stability, Elasticity, Differential equations

Journal Articles

Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach

N. Sri Namachchivaya, H. J. Van Roessel

J. Appl. Mech. November 2004, 71(6): 759–768.

DOI: https://doi.org/10.1115/1.1795813

Published Online: January 27, 2005

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Topics: Eigenvalues, Resonance, Stability, Galerkin method, Generators, Noise (Sound), Excitation, Approximation

Journal Articles

A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams

H. Zhu, Graduate Student, B. V. Sankar, Professor, Fellow ASME

J. Appl. Mech. May 2004, 71(3): 421–424.

DOI: https://doi.org/10.1115/1.1751184

Published Online: June 22, 2004

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Topics: Fourier series, Functionally graded materials, Galerkin method, Poisson ratio, Stress, Young's modulus, Fourier analysis, Partial differential equations, Polynomials, Shear stress

Journal Articles

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

G. Failla, Doctor of Philosophy,, P. D. Spanos, Fellow, ASME, M. Di Paola, Professor,

J. Appl. Mech. September 2003, 70(5): 708–714.

DOI: https://doi.org/10.1115/1.1599916

Published Online: October 10, 2003

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Topics: Computer simulation, Damping, Fourier series, Newton's method, Nonlinear systems, Polynomials, Spectral energy distribution, Jacobian matrices, Flow (Dynamics), Reliability

Journal Articles

Coincidence of Boobnov-Galerkin and Closed-Form Solutions in an Applied Mechanics Problem

I. Elishakoff, M. Zingales

J. Appl. Mech. September 2003, 70(5): 777–779.

DOI: https://doi.org/10.1115/1.1598474

Published Online: October 10, 2003

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Topics: Engineering mechanics, Galerkin method, Solid mechanics, Stress

Journal Articles

Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction

L. J. Gray, T. Kaplan, J. D. Richardson, G. H. Paulino, Mem. ASME

J. Appl. Mech. July 2003, 70(4): 543–549.

DOI: https://doi.org/10.1115/1.1485753

Published Online: August 25, 2003

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Topics: Dimensions, Functionally graded materials, Galerkin method, Heat conduction, Integral equations, Laplace equations, Rotors, Thermal conductivity, Steady state, Heat flux

Journal Articles

An Extended Finite Element Method for Two-Phase Fluids

J. Chessa, Graduate Research Assistant,, T. Belytschko, Walter P. Murphy Professor of Mechanical Engineering,

J. Appl. Mech. January 2003, 70(1): 10–17.

DOI: https://doi.org/10.1115/1.1526599

Published Online: January 23, 2003

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Topics: Finite element analysis, Finite element methods, Fluids, Approximation, Galerkin method

Journal Articles

Comparison of the Two Formulations of w-u-v and w-F in Nonlinear Plate Analysis

J. Lee

J. Appl. Mech. July 2002, 69(4): 547–552.

DOI: https://doi.org/10.1115/1.1458556

Published Online: June 20, 2002

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Topics: Deflection, Displacement, Energy conservation, Plate theory, Shear (Mechanics), Damping, Fracture (Materials), Galerkin method, Resonance, Membranes

Journal Articles

Representation of Stokes Flow Through a Planar Contraction by Papkovich-Fadle Eigenfunctions

M. A. Rogerson, Y. L. Yeow

J. Appl. Mech. December 1999, 66(4): 940–944.

DOI: https://doi.org/10.1115/1.2791802

Published Online: December 1, 1999

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Topics: Creeping flow, Eigenfunctions, Corners (Structural elements), Galerkin method, Pressure, Pressure drop

Journal Articles

Buckling of Thick Orthotropic Cylindrical Shells Under Torsion

Y. S. Kim, G. A. Kardomateas, A. Zureick

J. Appl. Mech. March 1999, 66(1): 41–50.

DOI: https://doi.org/10.1115/1.2789167

Published Online: March 1, 1999

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Topics: Buckling, Pipes, Torsion, Cylinders, Shells, Stress, Elasticity, Epoxy adhesives, Epoxy resins, Differential equations

Journal Articles

Refined Dynamic Stability Theory of Laminated Isotropic Circular Plates

G. Krizhevsky, Y. Stavsky

J. Appl. Mech. June 1998, 65(2): 334–340.

DOI: https://doi.org/10.1115/1.2789059

Published Online: June 1, 1998

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Topics: Dynamic stability, Plates (structures), Buckling, Galerkin method, Lamination, Rotational inertia, Shear (Mechanics), Stress, Variational principles, Vibration

Journal Articles

Chaotic Vibrations of Beams: Numerical Solution of Partial Differential Equations

N. S. Abhyankar, E. K. Hall, II, S. V. Hanagud

J. Appl. Mech. March 1993, 60(1): 167–174.

DOI: https://doi.org/10.1115/1.2900741

Published Online: March 1, 1993

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Topics: Partial differential equations, Vibration, Differential equations, Dynamics (Mechanics), Finite difference methods, Galerkin method, Chaos, Compression, Finite element methods

Journal Articles

Hydroelastic Instability of Infinite Strips Under Shearing Load on an Elastic Foundation

J. Tani

J. Appl. Mech. June 1984, 51(2): 263–268.

DOI: https://doi.org/10.1115/1.3167610

Published Online: June 1, 1984

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Topics: Die cutting, Shearing (Deformation), Stress, Strips, Boundary-value problems, Deflection, Flow (Dynamics), Fourier transforms, Galerkin method, Inviscid flow

Journal Articles

Reexamination of Stability of a Two-Dimensional Finite Panel Exposed to an Incompressible Flow

Y. Matsuzaki

J. Appl. Mech. September 1981, 48(3): 472–478.

DOI: https://doi.org/10.1115/1.3157659

Published Online: September 1, 1981

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Topics: Flow (Dynamics), Stability, Fluids, Deflection, Equilibrium (Physics), Errors, Galerkin method, Limit cycles, Nonlinear equations, Oscillations

Journal Articles

A Finite-Element Singular-Perturbation Technique for Convection-Diffusion Problems—Part 2: Two-Dimensional Problems

Rafael F. Diaz-Munio, L. Carter Wellford, Jr.

J. Appl. Mech. June 1981, 48(2): 272–275.

DOI: https://doi.org/10.1115/1.3157609

Published Online: June 1, 1981

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Topics: Convection, Diffusion (Physics), Finite element analysis, Algorithms, Approximation, Galerkin method, Variational techniques

Journal Articles

Dynamic Stability of Truncated Conical Shells Under Pulsating Torsion

J. Tani

J. Appl. Mech. June 1981, 48(2): 391–398.

DOI: https://doi.org/10.1115/1.3157628

Published Online: June 1, 1981

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Topics: Dynamic stability, Shells, Torsion, Galerkin method, Resonance, Vibration, Waves

Journal citation

NARROW

Transverse Impact on Beams and Plates

Vibrations and Stability of an Axially Moving Rectangular Composite Plate

Stabilized Finite Element Methods for the Schrödinger Wave Equation

On the Magnetic Field Effect in Electroconductive Plates Under Nonconservative Loading

Alternative Approaches for the Derivation of Discontinuous Galerkin Methods for Nonlinear Mechanics

Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach

A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

Coincidence of Boobnov-Galerkin and Closed-Form Solutions in an Applied Mechanics Problem

Green’s Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction

An Extended Finite Element Method for Two-Phase Fluids

Comparison of the Two Formulations of w-u-v and w-F in Nonlinear Plate Analysis

Representation of Stokes Flow Through a Planar Contraction by Papkovich-Fadle Eigenfunctions

Buckling of Thick Orthotropic Cylindrical Shells Under Torsion

Refined Dynamic Stability Theory of Laminated Isotropic Circular Plates

Chaotic Vibrations of Beams: Numerical Solution of Partial Differential Equations

Hydroelastic Instability of Infinite Strips Under Shearing Load on an Elastic Foundation

Reexamination of Stability of a Two-Dimensional Finite Panel Exposed to an Incompressible Flow

A Finite-Element Singular-Perturbation Technique for Convection-Diffusion Problems—Part 2: Two-Dimensional Problems

Dynamic Stability of Truncated Conical Shells Under Pulsating Torsion

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