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Journal Articles

Krylov Methods for Large-Scale Dynamical Systems: Application in Fluid Dynamics

R. A. S. Frantz, J.-Ch. Loiseau, J.-Ch. Robinet

Publisher: ASME

Appl. Mech. Rev. May 2023, 75(3): 030802.

Paper No: AMR-22-1024

https://doi.org/10.1115/1.4056808

Published Online: March 20, 2023

View Articletitled, Krylov Methods for Large-Scale Dynamical Systems: Application in Fluid Dynamics

Topics: Bifurcation, Eigenvalues, Flow (Dynamics), Stability, Computation, Fluid dynamics

Journal Articles

A Tutorial on the Stability and Bifurcation Analysis of the Electromechanical Behaviour of Soft Materials

Shengyou Yang, Pradeep Sharma

Publisher: ASME

Appl. Mech. Rev. July 2023, 75(4): 044801.

Paper No: AMR-22-1078

https://doi.org/10.1115/1.4056303

Published Online: January 23, 2023

View Articletitled, A Tutorial on the Stability and Bifurcation Analysis of the Electromechanical Behaviour of Soft Materials

Topics: Bifurcation, Boundary-value problems, Deformation, Dielectric materials, Electric fields, Equilibrium (Physics), Stability, Stress, Elastomers

Journal Articles

Analytical Modeling of Discrete Mechanical Systems Involving Contact, Impact, and Friction

S. Natsiavas

Publisher: ASME

Appl. Mech. Rev. September 2019, 71(5): 050802.

Paper No: AMR-18-1032

https://doi.org/10.1115/1.4044549

Published Online: September 19, 2019

View Articletitled, Analytical Modeling of Discrete Mechanical Systems Involving Contact, Impact, and Friction

Topics: Dynamics (Mechanics), Friction, Modeling, Bifurcation, Impulse (Physics)

Journal Articles

Transport Phenomena and Properties in Treelike Networks

Peng Xu, Agus Pulung Sasmito, Boming Yu, Arun Sadashiv Mujumdar

Publisher: ASME

Appl. Mech. Rev. July 2016, 68(4): 040802.

Paper No: AMR-16-1007

https://doi.org/10.1115/1.4033966

Published Online: July 12, 2016

View Articletitled, Transport Phenomena and Properties in Treelike Networks

Topics: Flow (Dynamics), Fluid dynamics, Fractals, Heat conduction, Heat transfer, Laminar flow, Microchannels, Optimization, Scaling laws (Mathematical physics), Transport phenomena

Journal Articles

A Global Dynamics Perspective for System Safety From Macro- to Nanomechanics: Analysis, Control, and Design Engineering

Giuseppe Rega, Stefano Lenci

Publisher: ASME

Appl. Mech. Rev. September 2015, 67(5): 050802.

Paper No: AMR-15-1006

https://doi.org/10.1115/1.4031705

Published Online: October 15, 2015

View Articletitled, A Global Dynamics Perspective for System Safety From Macro- to Nanomechanics: Analysis, Control, and Design Engineering

Topics: Attractors, Bifurcation, Design, Dynamics (Mechanics), Erosion, Excitation, Robustness, Safety, Stability, Nonlinear dynamics

Journal Articles

Nonlinear Dynamical Systems, Their Stability, and Chaos : Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

Amol Marathe, Rama Govindarajan

Publisher: ASME

Appl. Mech. Rev. March 2014, 66(2): 024802.

Paper No: AMR-13-1048

https://doi.org/10.1115/1.4026864

Published Online: March 24, 2014

View Articletitled, Nonlinear Dynamical Systems, Their Stability, and Chaos : Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

Topics: Bifurcation, Chaos, Flow (Dynamics), Limit cycles, Nonlinear systems, Stability, Dynamics (Mechanics), Phase space, Nonlinear dynamical systems, Turbulence

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

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

Journal Articles

Asymptotic and Probabilistic Approach to Buckling of Structures and Materials

Kiyohiro Ikeda, Kazuo Murota

Publisher: ASME

Appl. Mech. Rev. July 2008, 61(4): 040801.

https://doi.org/10.1115/1.2939583

Published Online: June 30, 2008

View Articletitled, Asymptotic and Probabilistic Approach to Buckling of Structures and Materials

Topics: Bifurcation, Buckling, Stress, Electromagnetic scattering

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 Articletitled, 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

Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

Giuseppe Rega

Publisher: ASME

Appl. Mech. Rev. November 2004, 57(6): 443–478.

https://doi.org/10.1115/1.1777224

Published Online: February 16, 2005

View Articletitled, Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

Topics: Cables, Dynamics (Mechanics), Resonance, Bifurcation

Journal Articles

Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena

Giuseppe Rega

Publisher: ASME

Appl. Mech. Rev. November 2004, 57(6): 479–514.

https://doi.org/10.1115/1.1777225

Published Online: February 16, 2005

View Articletitled, Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena

Topics: Attractors, Bifurcation, Cables, Chaos, Dynamics (Mechanics), Resonance, Vibration, Excitation

Journal Articles

Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series)

H Kielhofer,, Editor, HW Haslach,, Jr

Publisher: ASME

Appl. Mech. Rev. September 2004, 57(5): B26.

https://doi.org/10.1115/1.1818690

Published Online: December 21, 2004

View Articletitled, Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series)

Topics: Bifurcation, Partial differential equations

Journal Articles

Beyond Perturbation: Introduction to the Homotopy Analysis Method

Shijun Liao,, Editor, SA Sherif,, Reviewer

Publisher: ASME

Appl. Mech. Rev. September 2004, 57(5): B25–B26.

https://doi.org/10.1115/1.1818689

Published Online: December 21, 2004

View Articletitled, Beyond Perturbation: Introduction to the Homotopy Analysis Method

Topics: Bifurcation, Boundary layers, Nonlinear equations, Perturbation theory

Journal Articles

Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems

MP Cartmell,, SW Ziegler,, R Khanin,, DIM Forehand

Publisher: ASME

Appl. Mech. Rev. September 2003, 56(5): 455–492.

https://doi.org/10.1115/1.1581884

Published Online: August 29, 2003

View Articletitled, Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems

Topics: Bifurcation, Dynamics (Mechanics), Equations of motion, Excitation, Machinery, Resonance, Vibration, Damping, Stability

Journal Articles

Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory. Applied Mathematical Sciences, Vol 149

K Ikeda,, Author, K Murota,, Author, J Petrolito,, Reviewer

Publisher: ASME

Appl. Mech. Rev. May 2003, 56(3): B40.

https://doi.org/10.1115/1.1566399

Published Online: May 2, 2003

View Articletitled, Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory. Applied Mathematical Sciences, Vol 149

Topics: Bifurcation, Materials science

Journal Articles

Generating Families in the Restricted Three-Body Problem, II: Quantitative Study of Bifurcations. Lecture Notes in Physics, Vol m65

M Henon,, Author, FH Lutze,, Reviewer

Publisher: ASME

Appl. Mech. Rev. November 2002, 55(6): B107.

https://doi.org/10.1115/1.1508144

Published Online: October 16, 2002

View Articletitled, Generating Families in the Restricted Three-Body Problem, II: Quantitative Study of Bifurcations. Lecture Notes in Physics, Vol m65

Topics: Bifurcation, N-body problem (Celestial mechanics), Physics

Journal Articles

Dynamics, stability, and bifurcations

Koncay Huseyin

Publisher: ASME

Appl. Mech. Rev. March 2002, 55(2): R5–R15.

https://doi.org/10.1115/1.1449488

Published Online: April 3, 2002

View Articletitled, Dynamics, stability, and bifurcations

Topics: Bifurcation, Dynamics (Mechanics), Stability

Journal Articles

Theory of Elastic Stability: Analysis and Sensitivity

LA Godoy,, Author, Long-Yuan Li,, Reviewer

Publisher: ASME

Appl. Mech. Rev. January 2002, 55(1): B11–B12.

https://doi.org/10.1115/1.1445328

Published Online: January 1, 2002

View Articletitled, Theory of Elastic Stability: Analysis and Sensitivity

Topics: Stability, Elasticity, Buckling, Bifurcation, Mechanical stability

Journal Articles

Microplane Constitutive Model and Metal Plasticity

Michele Brocca, Zdeneˇk P. Bazˇant

Publisher: ASME

Appl. Mech. Rev. October 2000, 53(10): 265–281.

https://doi.org/10.1115/1.3097329

Published Online: October 1, 2000

View Articletitled, Microplane Constitutive Model and Metal Plasticity

Topics: Constitutive equations, Metals, Plasticity, Flow (Dynamics), Bifurcation, Buckling, Composite materials, Compression, Computation, Concretes

Journal Articles

Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

David Yang Gao

Publisher: ASME

Appl. Mech. Rev. November 1997, 50(11S): S64–S71.

https://doi.org/10.1115/1.3101852

Published Online: November 1, 1997

View Articletitled, Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

Topics: Buckling, Deformation, Variational principles, Phase transitions, Bifurcation, Nonlinear systems, Potential energy, Shear (Mechanics), Stability, Stress

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Krylov Methods for Large-Scale Dynamical Systems: Application in Fluid Dynamics

A Tutorial on the Stability and Bifurcation Analysis of the Electromechanical Behaviour of Soft Materials

Analytical Modeling of Discrete Mechanical Systems Involving Contact, Impact, and Friction

Transport Phenomena and Properties in Treelike Networks

A Global Dynamics Perspective for System Safety From Macro- to Nanomechanics: Analysis, Control, and Design Engineering

Nonlinear Dynamical Systems, Their Stability, and Chaos : Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

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

Asymptotic and Probabilistic Approach to Buckling of Structures and Materials

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

Nonlinear vibrations of suspended cables—Part I: Modeling and analysis

Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena

Bifurcation Theory: An Introduction With Applications to PBEs (Applied Mathematical Sciences 156 Series)

Beyond Perturbation: Introduction to the Homotopy Analysis Method

Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems

Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory. Applied Mathematical Sciences, Vol 149

Generating Families in the Restricted Three-Body Problem, II: Quantitative Study of Bifurcations. Lecture Notes in Physics, Vol m65

Dynamics, stability, and bifurcations

Theory of Elastic Stability: Analysis and Sensitivity

Microplane Constitutive Model and Metal Plasticity

Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

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