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Journal Articles

Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems

Fu-Rui Xiong, Zhi-Chang Qin, Qian Ding, Carlos Hernández, Jesús Fernandez, Oliver Schütze, Jian-Qiao Sun
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2015, 82(11): 111010.
Paper No: JAM-15-1119
https://doi.org/10.1115/1.4031149
Published Online: August 10, 2015
View Article titled, Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems
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Topics: Algorithms, Attractors, Dynamics (Mechanics), Graphics processing units, Interpolation, Nonlinear dynamical systems, Plasmas (Ionized gases), Transients (Dynamics), Steady state, Dynamic systems
Journal Articles

A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. March 2014, 81(3): 031001.
Paper No: JAM-11-1404
https://doi.org/10.1115/1.4024874
Published Online: September 18, 2013
View Article titled, A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems
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Topics: Control equipment, Dynamic systems, Dynamics (Mechanics), Nonlinear dynamical systems, Optimal control, Stability, Nonlinear systems, Approximation, Design, Errors
Journal Articles

Dynamics of an Eccentric Rotational Nonlinear Energy Sink

O. V. Gendelman, G. Sigalov, L. I. Manevitch, M. Mane, A. F. Vakakis, L. A. Bergman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2012, 79(1): 011012.
https://doi.org/10.1115/1.4005402
Published Online: December 13, 2011
View Article titled, Dynamics of an Eccentric Rotational Nonlinear Energy Sink
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Topics: Dynamics (Mechanics), Energy dissipation, Energy transformation, Excitation, Oscillations, Time series, Resonance, Damping, Deflection, Nonlinear dynamical systems
Journal Articles

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Isaac Elishakoff, Lova Andriamasy
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. July 2010, 77(4): 044501.
https://doi.org/10.1115/1.4000899
Published Online: March 25, 2010
View Article titled, Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics
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Topics: Dynamics (Mechanics), Linearization techniques, Potential energy, Nonlinear dynamical systems, Stochastic processes, Approximation, Stiffness
Journal Articles

Erratum: “Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method” [ Journal of Applied Mechanics, 2005, 72(2), pp. 290–295 ]

S. Saha Ray, R. K. Bera
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Errata
J. Appl. Mech. July 2005, 72(4): 629.
https://doi.org/10.1115/1.1943437
Published Online: July 1, 2005
View Article titled, Erratum: “Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method” [ Journal of Applied Mechanics, 2005, 72(2), pp. 290–295 ]
Open the PDF for Erratum: “Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method” [ Journal of Applied Mechanics, 2005, 72(2), pp. 290–295 ] in another window
Topics: Dynamic systems, Engineering mechanics, Nonlinear dynamical systems
Journal Articles

Multiscale, Multiphenomena Modeling and Simulation at the Nanoscale: On Constructing Reduced-Order Models for Nonlinear Dynamical Systems With Many Degrees-of-Freedom

E. H. Dowell, Professor,, D. Tang, Research Associate Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2003, 70(3): 328–338.
https://doi.org/10.1115/1.1558079
Published Online: June 11, 2003
View Article titled, Multiscale, Multiphenomena Modeling and Simulation at the Nanoscale: On Constructing Reduced-Order Models for Nonlinear Dynamical Systems With Many Degrees-of-Freedom
Open the PDF for Multiscale, Multiphenomena Modeling and Simulation at the Nanoscale: On Constructing Reduced-Order Models for Nonlinear Dynamical Systems With Many Degrees-of-Freedom in another window
Topics: Chain, Degrees of freedom, Modeling, Nanoscale phenomena, Particulate matter, Springs, Equations of motion, Finite element analysis, Equilibrium (Physics), Molecular dynamics
Journal Articles

Application of the Lie Group Transformations to Nonlinear Dynamical Systems

V. N. Pilipchuk, R. A. Ibrahim
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 1999, 66(2): 439–447.
https://doi.org/10.1115/1.2791068
Published Online: October 25, 1999
View Article titled, Application of the Lie Group Transformations to Nonlinear Dynamical Systems
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Topics: Dynamics (Mechanics), Equations of motion, Nonlinear dynamical systems, Nonlinear systems, Pendulums, Resonance
Journal Articles

Identification of Nonlinear Dynamic Systems Using Neural Networks

S. F. Masri, A. G. Chassiakos, T. K. Caughey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1993, 60(1): 123–133.
https://doi.org/10.1115/1.2900734
Published Online: March 1, 1993
View Article titled, Identification of Nonlinear Dynamic Systems Using Neural Networks
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Topics: Artificial neural networks, Nonlinear dynamical systems, Excitation, Engineering mechanics, Nonlinear systems
Journal Articles

Discussion: “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems” (Cameron, T. M., and Griffin, J. H., 1989, ASME J. Appl Mech., 56, pp. 149–154)

F. H. Ling
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. March 1990, 57(1): 251.
https://doi.org/10.1115/1.2888315
Published Online: March 1, 1990
View Article titled, Discussion: “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems” (Cameron, T. M., and Griffin, J. H., 1989, ASME J. Appl Mech., 56, pp. 149–154)
Open the PDF for Discussion: “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems” (Cameron, T. M., and Griffin, J. H., 1989, ASME J. Appl Mech., 56, pp. 149–154) in another window
Topics: Nonlinear dynamical systems, Steady state
Journal Articles

An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

T. M. Cameron, J. H. Griffin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1989, 56(1): 149–154.
https://doi.org/10.1115/1.3176036
Published Online: March 1, 1989
View Article titled, An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems
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Topics: Nonlinear dynamical systems, Steady state, Damping, Excitation, Fourier transforms, Friction
Journal Articles

Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure

R. A. Ibrahim, A. Soundararajan, H. Heo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1985, 52(4): 965–970.
https://doi.org/10.1115/1.3169176
Published Online: December 1, 1985
View Article titled, Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure
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Topics: Nonlinear dynamical systems, Damping, Differential equations, Nonlinear systems
Journal Articles

A Method for Reducing the Order of Nonlinear Dynamic Systems

S. F. Masri, R. K. Miller, H. Sassi, T. K. Caughey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1984, 51(2): 391–398.
https://doi.org/10.1115/1.3167630
Published Online: June 1, 1984
View Article titled, A Method for Reducing the Order of Nonlinear Dynamic Systems
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Topics: Condensation, Dynamic systems, Finite element model, Linear systems, Nonlinear dynamical systems, Random excitation, Transients (Dynamics)
Journal Articles

A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept

C. S. Hsu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1982, 49(4): 895–902.
https://doi.org/10.1115/1.3162633
Published Online: December 1, 1982
View Article titled, A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept
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Topics: Nonlinear dynamical systems, Differential equations, Dynamic systems, Markov processes, Nonlinear systems, Probability, Statistical distributions
Journal Articles

The Steady-State Response of a Class of Dynamical Systems to Stochastic Excitation

T. K. Caughey, F. Ma
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1982, 49(3): 629–632.
https://doi.org/10.1115/1.3162538
Published Online: September 1, 1982
View Article titled, The Steady-State Response of a Class of Dynamical Systems to Stochastic Excitation
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Topics: Dynamic systems, Excitation, Steady state, Density, Nonlinear dynamical systems, Probability
Journal Articles

Nonparametric Identification of Nearly Arbitrary Nonlinear Systems

S. F. Masri, H. Sassi, T. K. Caughey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1982, 49(3): 619–628.
https://doi.org/10.1115/1.3162537
Published Online: September 1, 1982
View Article titled, Nonparametric Identification of Nearly Arbitrary Nonlinear Systems
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Topics: Computers, Dynamic systems, Mode shapes, Nonlinear dynamical systems, Nonlinear systems, Random excitation, Storage
Journal Articles

A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems

C. S. Hsu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1981, 48(3): 634–642.
https://doi.org/10.1115/1.3157686
Published Online: September 1, 1981
View Article titled, A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
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Topics: Algorithms, Chain, Computers, Nonlinear dynamical systems, Nonlinear systems, Probability
Journal Articles

An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings

C. S. Hsu, R. S. Guttalu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1980, 47(4): 940–948.
https://doi.org/10.1115/1.3153817
Published Online: December 1, 1980
View Article titled, An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings
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Topics: Algorithms, Dynamic systems, Differential equations, Equilibrium (Physics), Nonlinear dynamical systems
Journal Articles

A Nonparametric Identification Technique for Nonlinear Dynamic Problems

S. F. Masri, T. K. Caughey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1979, 46(2): 433–447.
https://doi.org/10.1115/1.3424568
Published Online: June 1, 1979
View Article titled, A Nonparametric Identification Technique for Nonlinear Dynamic Problems
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Topics: Dynamic systems, Nonlinear dynamical systems, Nonlinear systems, Random excitation