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Journal Articles

Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress

Yu Mikhlin, K. Avramov

Publisher: ASME

Appl. Mech. Rev. September 2024, 76(5): 050801.

Paper No: AMR-23-1022

https://doi.org/10.1115/1.4063593

Published Online: June 4, 2024

View Article titled, Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress

Topics: Resonance, Vibration, Dynamic systems

Journal Articles

Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71 (5), p. 055501)

Mohammad Farazmand, Themistoklis P. Sapsis

Publisher: ASME

Appl. Mech. Rev. September 2019, 71(5): 056001.

Paper No: AMR-19-1018

https://doi.org/10.1115/1.4043632

Published Online: September 19, 2019

View Article titled, Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71 (5), p. 055501)

Topics: Degrees of freedom, Dynamic systems, Excitation, Nonlinear systems

Journal Articles

Discussion of “Extreme Events: Mechanisms and Prediction” (M. Farazmand and T. P. Sapsis, 2019, ASME Appl. Mech. Rev., 71 (5), p. 050801)

Mircea D. Grigoriu, Wayne Isaac T. Uy

Publisher: ASME

Appl. Mech. Rev. September 2019, 71(5): 055501.

Paper No: AMR-19-1013

https://doi.org/10.1115/1.4043631

Published Online: September 19, 2019

View Article titled, Discussion of “Extreme Events: Mechanisms and Prediction” (M. Farazmand and T. P. Sapsis, 2019, ASME Appl. Mech. Rev., 71 (5), p. 050801)

Topics: Dynamic systems, Electromagnetic scattering, Noise (Sound), Probability, Differential equations, Earthquake engineering, Random noise, Signals, Spectral energy distribution, Stochastic processes

Journal Articles

Extreme Events: Mechanisms and Prediction

Mohammad Farazmand, Themistoklis P. Sapsis

Publisher: ASME

Appl. Mech. Rev. September 2019, 71(5): 050801.

Paper No: AMR-18-1035

https://doi.org/10.1115/1.4042065

Published Online: August 2, 2019

View Article titled, Extreme Events: Mechanisms and Prediction

Topics: Density, Dynamic systems, Flow (Dynamics), Manifolds, Probability, Trajectories (Physics), Variational techniques, Waves, Time series, Statistics

Journal Articles

Editorial

Harry Dankowicz, Ardeshir Hanifi, Dan Henningson

Publisher: ASME

Appl. Mech. Rev. March 2014, 66(2): 020201.

Paper No: AMR-14-1012

https://doi.org/10.1115/1.4026605

Published Online: February 20, 2014

View Article titled, Editorial

Topics: Flow (Dynamics), Fluid mechanics, Stability, Engineering mechanics, Fluid dynamics, Theoretical physics, Dynamic systems

Journal Articles

The Motion Constants of Linear Autonomous Dynamical Systems

Andrew J. Sinclair, John E. Hurtado

Publisher: ASME

Appl. Mech. Rev. July 2013, 65(4): 040803.

Paper No: AMR-13-1007

https://doi.org/10.1115/1.4024769

Published Online: August 29, 2013

View Article titled, The Motion Constants of Linear Autonomous Dynamical Systems

Topics: Dynamic systems, Eigenvalues

Journal Articles

Bayesian Methods for Updating Dynamic Models

Ka-Veng Yuen, Sin-Chi Kuok

Publisher: ASME

Appl. Mech. Rev. January 2011, 64(1): 010802.

https://doi.org/10.1115/1.4004479

Published Online: September 26, 2011

View Article titled, Bayesian Methods for Updating Dynamic Models

Topics: Errors, Fast Fourier transforms, Fittings, Noise (Sound), Robustness, Spectral energy distribution, Uncertainty, Gaussian distribution, Probability, Dynamic models

Journal Articles

Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

Yuri V. Mikhlin, Konstantin V. Avramov

Publisher: ASME

Appl. Mech. Rev. November 2010, 63(6): 060802.

https://doi.org/10.1115/1.4003825

Published Online: June 24, 2011

View Article titled, Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

Topics: Bifurcation, Stability, Vibration, Nonlinear systems, Resonance, Dynamic systems

Journal Articles

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

W. Q. Zhu

Publisher: ASME

Appl. Mech. Rev. July 2006, 59(4): 230–248.

https://doi.org/10.1115/1.2193137

Published Online: July 1, 2006

View Article titled, Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

Topics: Bifurcation, Excitation, Noise (Sound), Nonlinear systems, Optimal control, Probability, Resonance, Stability, Dynamics (Mechanics), Stochastic systems

Journal Articles

Random Perturbation Methods with Applications in Science and Engineering. Applied Mathematical Sciences, Vol 150

AV Skorokhod,, Author, FC Hoppensteadt ,, Author, H Salehi ,, Author, VD Radulescu,, Reviewer

Publisher: ASME

Appl. Mech. Rev. July 2003, 56(4): B52–B53.

https://doi.org/10.1115/1.1579453

Published Online: July 22, 2003

View Article titled, Random Perturbation Methods with Applications in Science and Engineering. Applied Mathematical Sciences, Vol 150

Topics: Markov processes, Stochastic processes, Dynamic systems

Journal Articles

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

JC Robinson,, Author, C Pierre,, Reviewer

Publisher: ASME

Appl. Mech. Rev. July 2003, 56(4): B54–B55.

https://doi.org/10.1115/1.1579456

Published Online: July 22, 2003

View Article titled, Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

Topics: Attractors, Dynamic systems, Engineering mathematics, Functional analysis, Partial differential equations, Nonlinear dynamical systems

Journal Articles

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students

B Ermentrout,, Author, A Mahajan,, Reviewer

Publisher: ASME

Appl. Mech. Rev. July 2003, 56(4): B53.

https://doi.org/10.1115/1.1579454

Published Online: July 22, 2003

View Article titled, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students

Topics: Computer software, Dynamic systems, Students, Dynamics (Mechanics), Mechanical engineering computing, Nonlinear dynamical systems, Physics, Simulation

Journal Articles

Numerical Simulation of Flutter of Suspension Bridges

S. Preidikman, D. T. Mook

Publisher: ASME

Appl. Mech. Rev. November 1997, 50(11S): S174–S179.

https://doi.org/10.1115/1.3101831

Published Online: November 1, 1997

View Article titled, Numerical Simulation of Flutter of Suspension Bridges

Topics: Computer simulation, Flutter (Aerodynamics), Suspension bridges, Bridges (Structures), Control systems, Design, Dynamic systems, Equations of motion, Limit cycles, Simulation

Journal Articles

Exceedance Probabilities of MDOF-Systems Under Stochastic Excitation

H. J. Pradlwarter, G. I. Schue¨ller

Publisher: ASME

Appl. Mech. Rev. November 1997, 50(11S): S168–S173.

https://doi.org/10.1115/1.3101830

Published Online: November 1, 1997

View Article titled, Exceedance Probabilities of MDOF-Systems Under Stochastic Excitation

Topics: Excitation, Probability, Dynamic systems, Random excitation, Simulation

Journal Articles

Synchronization and Chaotization in Interacting Dynamical Systems

I. I. Blekhman, P. S. Landa, M. G. Rosenblum

Publisher: ASME

Appl. Mech. Rev. November 1995, 48(11): 733–752.

https://doi.org/10.1115/1.3005090

Published Online: November 1, 1995

View Article titled, Synchronization and Chaotization in Interacting Dynamical Systems

Topics: Dynamic systems, Synchronization, Phase transitions

Journal Articles

Asymptotic Treatment of Non-Classically Damped Linear Systems

W. Fang, J.-G. Tseng, J. A. Wickert

Publisher: ASME

Appl. Mech. Rev. November 1995, 48(11S): S111–S117.

https://doi.org/10.1115/1.3005058

Published Online: November 1, 1995

View Article titled, Asymptotic Treatment of Non-Classically Damped Linear Systems

Topics: Damped linear dynamic systems, Damping, Dynamic systems, Eigenvalues, Energy dissipation, Stability, Vibration

Journal Articles

Feedback Control of Turbulence

Parviz Moin, Thomas Bewley

Publisher: ASME

Appl. Mech. Rev. June 1994, 47(6S): S3–S13.

https://doi.org/10.1115/1.3124438

Published Online: June 1, 1994

View Article titled, Feedback Control of Turbulence

Topics: Feedback, Turbulence, Dynamic systems, Flow (Dynamics), Flow control, Fluctuations (Physics), Navier-Stokes equations, Optimal control

Journal Articles

Utilizing Low-Dimensional Dynamical Systems Models to Guide Control Experiments

Thomas C. Corke, Mark N. Glauser, Gal Berkooz

Publisher: ASME

Appl. Mech. Rev. June 1994, 47(6S): S132–S138.

https://doi.org/10.1115/1.3124389

Published Online: June 1, 1994

View Article titled, Utilizing Low-Dimensional Dynamical Systems Models to Guide Control Experiments

Topics: Dynamic systems, Cascades (Fluid dynamics), Engineering simulation, Flow (Dynamics), Principal component analysis, Simulation

Journal Articles

Estimation of Lyapunov Exponents Using a Semi-Discrete Formulation

Josef S. To¨ro¨k

Publisher: ASME

Appl. Mech. Rev. November 1993, 46(11S): S229–S233.

https://doi.org/10.1115/1.3122641

Published Online: November 1, 1993

View Article titled, Estimation of Lyapunov Exponents Using a Semi-Discrete Formulation

Topics: Differential equations, Dynamic systems, Eigenvalues, Equilibrium (Physics), Flow (Dynamics), Stability, Steady state

Journal Articles

Special Issue on Chaos and Noise in Dynamical Systems

John Brindley, Tomasz Kapitaniak

Publisher: ASME

Appl. Mech. Rev. July 1993, 46(7): 360.

https://doi.org/10.1115/1.3120364

Published Online: July 1, 1993

View Article titled, Special Issue on Chaos and Noise in Dynamical Systems

Topics: Chaos, Dynamic systems, Noise (Sound)

Journal citation

NARROW

Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress

Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71 (5), p. 055501)

Discussion of “Extreme Events: Mechanisms and Prediction” (M. Farazmand and T. P. Sapsis, 2019, ASME Appl. Mech. Rev., 71 (5), p. 050801)

Extreme Events: Mechanisms and Prediction

Editorial

The Motion Constants of Linear Autonomous Dynamical Systems

Bayesian Methods for Updating Dynamic Models

Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

Random Perturbation Methods with Applications in Science and Engineering. Applied Mathematical Sciences, Vol 150

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students

Numerical Simulation of Flutter of Suspension Bridges

Exceedance Probabilities of MDOF-Systems Under Stochastic Excitation

Synchronization and Chaotization in Interacting Dynamical Systems

Asymptotic Treatment of Non-Classically Damped Linear Systems

Feedback Control of Turbulence

Utilizing Low-Dimensional Dynamical Systems Models to Guide Control Experiments

Estimation of Lyapunov Exponents Using a Semi-Discrete Formulation

Special Issue on Chaos and Noise in Dynamical Systems

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