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Journal Articles

On an Iterative Method for Nonlinear Vibrations

R. E. Roberson

J. Appl. Mech. June 1953, 20(2): 237–240.

DOI: https://doi.org/10.1115/1.4010655

Published Online: June 4, 2021

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Topics: Iterative methods, Vibration, Boundary-value problems, Degrees of freedom

Journal Articles

Closure to “Discussion of ‘On an Iterative Method for Nonlinear Vibrations’” (1953, ASME J. Appl. Mech., 20, p. 590)

R. E. Roberson

J. Appl. Mech. December 1953, 20(4): 590.

DOI: https://doi.org/10.1115/1.4010798

Published Online: June 4, 2021

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Topics: Iterative methods

Journal Articles

Discussion: “On an Iterative Method for Nonlinear Vibrations” (Roberson, R. E., 1953, ASME J. Appl. Mech., 20, pp. 237–240)

K. Klotter

J. Appl. Mech. December 1953, 20(4): 590.

DOI: https://doi.org/10.1115/1.4010797

Published Online: June 4, 2021

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Topics: Iterative methods, Vibration

Journal Articles

Elastohydrodynamic Lubrication Line Contact Based on Surface Elasticity Theory

Jie Su, Hong-Xia Song, Liao-Liang Ke

J. Appl. Mech. August 2020, 87(8): 081004.

Paper No: JAM-20-1143

DOI: https://doi.org/10.1115/1.4047088

Published Online: May 18, 2020

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Topics: Elasticity, Elastohydrodynamic lubrication, Film thickness, Fluid pressure, Iterative methods, Stress, Pressure, Contact mechanics, Fluids, Elastic moduli

Journal Articles

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Lincong Chen, Jun Liu, Jian-Qiao Sun

J. Appl. Mech. May 2017, 84(5): 051006.

Paper No: JAM-16-1577

DOI: https://doi.org/10.1115/1.4036307

Published Online: April 5, 2017

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Topics: Excitation, Iterative methods, Nonlinear systems, Polynomials, Probability, Statistical distributions, Stochastic systems, White noise, Simulation, Errors

Journal Articles

A New Mixed Finite Element–Differential Quadrature Formulation for Forced Vibration of Beams Carrying Moving Loads

A. A. Jafari, S. A. Eftekhari

J. Appl. Mech. January 2011, 78(1): 011020.

DOI: https://doi.org/10.1115/1.4002037

Published Online: October 26, 2010

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Topics: Algebra, Finite element analysis, Pavement live loads, Stability, Vibration, Simply supported beams, Finite element methods, Iterative methods, Algorithms

Journal Articles

Dynamic Analysis of Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators Using a Coupled Finite Element-Differential Quadrature Method

S. A. Eftekhari, M. Farid, M. Khani

J. Appl. Mech. November 2009, 76(6): 061001.

DOI: https://doi.org/10.1115/1.3114969

Published Online: July 21, 2009

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Topics: Composite materials, Displacement, Dynamic analysis, Interpolation, Simply supported beams, Stress, Vibration, Finite element analysis, Iterative methods, Algebra

Journal Articles

Model Order Reduction of Viscously Damped Vibration Systems Using Accelerated Iterative Dynamic Condensation

Zu-Qing Qu, Panneer Selvam

J. Appl. Mech. September 2005, 72(5): 761–771.

DOI: https://doi.org/10.1115/1.1993668

Published Online: May 23, 2005

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Topics: Condensation, Damping, Eigenvalues, Errors, Iterative methods

Journal Articles

Closure to “Discussion on ‘Dynamic Condensation and Synthesis of Unsymmetrical Systems’ ” (2003, ASME J. Appl. Mech., 70 , p. 784)

G. V. Rao

J. Appl. Mech. September 2003, 70(5): 785.

DOI: https://doi.org/10.1115/1.1602486

Published Online: October 10, 2003

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Topics: Condensation, Damping, Eigenfunctions, Eigenvalues, Iterative methods, Matrix algebra, Vibration

Journal Articles

An Iterative Method for Solving Elasticity Problems for Composite Laminates

A. Makeev, Post Doctoral Fellow, E. A. Armanios, Professor

J. Appl. Mech. March 2000, 67(1): 96–104.

DOI: https://doi.org/10.1115/1.321154

Published Online: May 18, 1999

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Topics: Approximation, Composite materials, Elasticity, Laminates, Stress, Torsion, Iterative methods

Journal Articles

An Iterative Approach to Dynamic Elastic-Plastic Analysis

F. Giambanco, L. Palizzolo, L. Cirone

J. Appl. Mech. December 1998, 65(4): 811–819.

DOI: https://doi.org/10.1115/1.2791916

Published Online: December 1, 1998

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Topics: Degrees of freedom, Finite element analysis, Iterative methods

Journal Articles

Instability of Laminar Natural Convection Boundary Layer Flow on a Vertical Porous Flat Plate

T. Watanabe, H. Taniguchi, I. Pop

J. Appl. Mech. June 1996, 63(2): 404–410.

DOI: https://doi.org/10.1115/1.2788879

Published Online: June 1, 1996

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Topics: Boundary layers, Flat plates, Flow (Dynamics), Natural convection, Suction, Stability, Temperature, Differential equations, Eigenvalues, Iterative methods

Journal Articles

Viscoelastic Response of a Strand

T. A. Conway, G. A. Costello

J. Appl. Mech. June 1993, 60(2): 534–540.

DOI: https://doi.org/10.1115/1.2900826

Published Online: June 1, 1993

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Topics: Approximation, Boundary-value problems, Building materials, Construction, Equilibrium (Physics), Iterative methods, Relaxation (Physics), Rotation, Stress, Viscoelasticity

Journal Articles

Further Results on Iterative Approaches to the Determination of the Response of Nonclassically Damped Systems

Firdaus E. Udwadia

J. Appl. Mech. March 1993, 60(1): 235–239.

DOI: https://doi.org/10.1115/1.2900761

Published Online: March 1, 1993

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Topics: Damping, Dynamic systems, Iterative methods

Journal Articles

A Study of Belleville Spring and Diaphragm Spring in Engineering

Ye Zhiming, Yeh Kaiyuan

J. Appl. Mech. December 1990, 57(4): 1026–1031.

DOI: https://doi.org/10.1115/1.2897621

Published Online: December 1, 1990

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Topics: Diaphragms (Mechanical devices), Diaphragms (Structural), Springs, Stress, Deflection, Rotation, Shells, Cantilever beams, Integral equations, Iterative methods

Journal Articles

The Effect of Surface Depressions on Conformal and Nonconformal Contact Pressure Distributions

H. H. Chen, K. M. Marshek

J. Appl. Mech. December 1986, 53(4): 779–784.

DOI: https://doi.org/10.1115/1.3171858

Published Online: December 1, 1986

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Topics: Pressure, Stress concentration, Bearings, Contact mechanics, Copper, Cylinders, Design, Elastic half space, Iterative methods, Linear systems

Journal Articles

Accelerating Vector Iteration Methods

M. Papadrakakis

J. Appl. Mech. June 1986, 53(2): 291–297.

DOI: https://doi.org/10.1115/1.3171754

Published Online: June 1, 1986

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Topics: Finite element methods, Iterative methods, Linear systems, Manufacturing, Relaxation (Physics)

Journal Articles

Nonlinear Dynamic Buckling of Sandwich Panels

N. K. Adi Murthy, R. S. Alwar

J. Appl. Mech. September 1976, 43(3): 459–463.

DOI: https://doi.org/10.1115/1.3423891

Published Online: September 1, 1976

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Topics: Buckling, Stress, Deflection, Algebra, Collapse, Dynamic analysis, Iterative methods

Journal Articles

On the Numerical Determination of Shrinkage Stresses

F. Bauer, E. L. Reiss

J. Appl. Mech. March 1970, 37(1): 123–127.

DOI: https://doi.org/10.1115/1.3408419

Published Online: March 1, 1970

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Topics: Shrinkage (Materials), Stress, Strips, Boundary layers, Boundary-value problems, Corners (Structural elements), Elastic plates, Iterative methods

Journal Articles

Numerical Solutions of Transients in Pneumatic Networks: Part 2—Nonlinear Termination Problems

S. Tsao

J. Appl. Mech. September 1969, 36(3): 588–593.

DOI: https://doi.org/10.1115/1.3564721

Published Online: September 1, 1969

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Topics: Iterative methods, Transients (Dynamics), Transmission lines

Journal citation

NARROW

On an Iterative Method for Nonlinear Vibrations

Closure to “Discussion of ‘On an Iterative Method for Nonlinear Vibrations’” (1953, ASME J. Appl. Mech., 20, p. 590)

Discussion: “On an Iterative Method for Nonlinear Vibrations” (Roberson, R. E., 1953, ASME J. Appl. Mech., 20, pp. 237–240)

Elastohydrodynamic Lubrication Line Contact Based on Surface Elasticity Theory

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

A New Mixed Finite Element–Differential Quadrature Formulation for Forced Vibration of Beams Carrying Moving Loads

Dynamic Analysis of Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators Using a Coupled Finite Element-Differential Quadrature Method

Model Order Reduction of Viscously Damped Vibration Systems Using Accelerated Iterative Dynamic Condensation

Closure to “Discussion on ‘Dynamic Condensation and Synthesis of Unsymmetrical Systems’ ” (2003, ASME J. Appl. Mech., 70 , p. 784)

An Iterative Method for Solving Elasticity Problems for Composite Laminates

An Iterative Approach to Dynamic Elastic-Plastic Analysis

Instability of Laminar Natural Convection Boundary Layer Flow on a Vertical Porous Flat Plate

Viscoelastic Response of a Strand

Further Results on Iterative Approaches to the Determination of the Response of Nonclassically Damped Systems

A Study of Belleville Spring and Diaphragm Spring in Engineering

The Effect of Surface Depressions on Conformal and Nonconformal Contact Pressure Distributions

Accelerating Vector Iteration Methods

Nonlinear Dynamic Buckling of Sandwich Panels

On the Numerical Determination of Shrinkage Stresses

Numerical Solutions of Transients in Pneumatic Networks: Part 2—Nonlinear Termination Problems

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