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Journal Articles

A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

Guang-Da Hu

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051026.

Paper No: CND-16-1586

https://doi.org/10.1115/1.4036761

Published Online: July 12, 2017

View Article titled, A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

Topics: Nonlinear dynamical systems, Runge-Kutta methods, Trajectories (Physics), Numerical analysis

Journal Articles

Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

Marwan Abukhaled

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051021.

Paper No: CND-16-1187

https://doi.org/10.1115/1.4036813

Published Online: June 16, 2017

View Article titled, Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

Topics: Algorithms, Approximation, Numerical analysis, Oscillations, Runge-Kutta methods, Stability, Vibration

Journal Articles

A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems

R. Ju, W. Fan, W. D. Zhu, J. L. Huang

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051007.

Paper No: CND-16-1578

https://doi.org/10.1115/1.4036118

Published Online: April 18, 2017

View Article titled, A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems

Topics: Algebra, Excitation, Fourier series, Fourier transforms, Frequency response, Jacobian matrices, Nonlinear dynamical systems, Nonlinear systems, Runge-Kutta methods, Steady state

Journal Articles

Solving Differential-Algebraic Equation Systems: Alternative Index-2 and Index-1 Approaches for Constrained Mechanical Systems

Bernhard Schweizer, Pu Li

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2016, 11(4): 044501.

Paper No: CND-14-1297

https://doi.org/10.1115/1.4031287

Published Online: November 13, 2015

View Article titled, Solving Differential-Algebraic Equation Systems: Alternative Index-2 and Index-1 Approaches for Constrained Mechanical Systems

Topics: Algebra, Equations of motion, Pendulums, Errors, Runge-Kutta methods

Journal Articles

Continuous Galerkin Petrov Time Discretization Scheme for the Solutions of the Chen System

S. Hussain, Z. Salleh

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061007.

Paper No: CND-14-1123

https://doi.org/10.1115/1.4029714

Published Online: November 1, 2015

View Article titled, Continuous Galerkin Petrov Time Discretization Scheme for the Solutions of the Chen System

Topics: Differential equations, Dynamic systems, Dynamics (Mechanics), Errors, Polynomials, Runge-Kutta methods, Attractors, Dimensions, Engineering simulation, Simulation

Journal Articles

Accuracy and Reliability of Piecewise-Constant Method in Studying the Responses of Nonlinear Dynamic Systems

Liming Dai, Xiaojie Wang, Changping Chen

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021009.

Paper No: CND-13-1258

https://doi.org/10.1115/1.4026895

Published Online: March 1, 2015

View Article titled, Accuracy and Reliability of Piecewise-Constant Method in Studying the Responses of Nonlinear Dynamic Systems

Topics: Computer simulation, Nonlinear dynamical systems, Numerical analysis, Reliability, Runge-Kutta methods, Sloshing, Dynamic systems, Springs

Journal Articles

Explicit Numerical Methods for Solving Stiff Dynamical Systems

Suying Zhang, Jiangdan Li

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2011, 6(4): 041008.

https://doi.org/10.1115/1.4003706

Published Online: April 12, 2011

View Article titled, Explicit Numerical Methods for Solving Stiff Dynamical Systems

Topics: Dynamic systems, Numerical analysis, Runge-Kutta methods

Journal Articles

A High Precision Direct Integration Scheme for Nonlinear Dynamic Systems

Kuinian Li, Antony P. Darby

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2009, 4(4): 041008.

https://doi.org/10.1115/1.3192129

Published Online: August 25, 2009

View Article titled, A High Precision Direct Integration Scheme for Nonlinear Dynamic Systems

Topics: Algorithms, Linear systems, Nonlinear dynamical systems, Nonlinear systems, Polynomial approximation, Stress, Pendulums, Runge-Kutta methods, Transients (Dynamics), Damping

Journal Articles

Efficient Simulation of a Dynamic System with LuGre Friction

Nguyen B. Do, Aldo A. Ferri, Olivier A. Bauchau

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2007, 2(4): 281–289.

https://doi.org/10.1115/1.2754304

Published Online: March 18, 2007

View Article titled, Efficient Simulation of a Dynamic System with LuGre Friction

Topics: Friction, Simulation, Dynamic systems, Dynamics (Mechanics), Runge-Kutta methods

Journal citation

NARROW

A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems

Solving Differential-Algebraic Equation Systems: Alternative Index-2 and Index-1 Approaches for Constrained Mechanical Systems

Continuous Galerkin Petrov Time Discretization Scheme for the Solutions of the Chen System

Accuracy and Reliability of Piecewise-Constant Method in Studying the Responses of Nonlinear Dynamic Systems

Explicit Numerical Methods for Solving Stiff Dynamical Systems

A High Precision Direct Integration Scheme for Nonlinear Dynamic Systems

Efficient Simulation of a Dynamic System with LuGre Friction

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