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Journal Articles

On a Class of Periodic Inputs That Passively Quench the Superharmonic Resonance of a Symmetric Duffing Oscillator

Mohammed F. Daqaq

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2025, 20(1): 014501.

Paper No: CND-24-1098

https://doi.org/10.1115/1.4066659

Published Online: October 18, 2024

View Article titled, On a Class of Periodic Inputs That Passively Quench the Superharmonic Resonance of a Symmetric Duffing Oscillator

Topics: Fourier series, Resonance, Excitation

Journal Articles

Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

R. Ju, S. M. Yang, H. Ren, W. Fan, R. C. Ni, P. Gu

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2024, 19(12): 121001.

Paper No: CND-24-1072

https://doi.org/10.1115/1.4066221

Published Online: September 13, 2024

View Article titled, Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

Topics: Algebra, Dynamic modeling, Fourier series, Steady state, Rotation, Frequency response, Equations of motion

Journal Articles

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Tiago S. Martins, Francesco Trainotti, Andreas Zwölfer, Frederico Afonso

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071008.

Paper No: CND-22-1326

https://doi.org/10.1115/1.4062424

Published Online: May 25, 2023

View Article titled, A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Topics: Cycles, Dry friction, Dynamics (Mechanics), Errors, Frequency response, Parametrization, Polynomials, Structural dynamics, Steady state, Springs

Journal Articles

Efficient Path Integration of Nonlinear Oscillators Subject to Combined Random and Harmonic Excitation

Wei-Che Tai

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2022, 17(6): 061005.

Paper No: CND-21-1342

https://doi.org/10.1115/1.4053936

Published Online: March 14, 2022

View Article titled, Efficient Path Integration of Nonlinear Oscillators Subject to Combined Random and Harmonic Excitation

Topics: Density, Probability, Interpolation, Excitation, Fourier series, Simulation

Journal Articles

A Time Marching Integration for Semianalytical Solutions of Nonlinear Oscillators Based on Synchronization

R. Z. Yao, Y. M. Chen, Q. X. Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2021, 16(10): 104501.

Paper No: CND-20-1370

https://doi.org/10.1115/1.4051994

Published Online: August 31, 2021

View Article titled, A Time Marching Integration for Semianalytical Solutions of Nonlinear Oscillators Based on Synchronization

Topics: Synchronization, Fourier series, Harmonic oscillators

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

Error Estimation of Fourier Series Expansion and Implication to Solution Accuracy for Nonlinear Dynamical Systems

Y. M. Chen, Z. R. Lv, J. K. Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2017, 12(1): 011002.

Paper No: CND-15-1266

https://doi.org/10.1115/1.4034127

Published Online: September 1, 2016

View Article titled, Error Estimation of Fourier Series Expansion and Implication to Solution Accuracy for Nonlinear Dynamical Systems

Topics: Errors, Fourier series, Nonlinear dynamical systems

Journal Articles

An Approximate Solution for Period-1 Motions in a Periodically Forced Van Der Pol Oscillator

Albert C. J. Luo, Arash Baghaei Lakeh

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2014, 9(3): 031001.

Paper No: CND-13-1021

https://doi.org/10.1115/1.4026425

Published Online: February 13, 2014

View Article titled, An Approximate Solution for Period-1 Motions in a Periodically Forced Van Der Pol Oscillator

Topics: Bifurcation, Dynamic systems, Eigenvalues, Fourier series, Stability, Excitation, Limit cycles, Differential equations

Journal Articles

Optimal Control and Forward Dynamics of Human Periodic Motions Using Fourier Series for Muscle Excitation Patterns

Mohammad Sharif Shourijeh, John McPhee

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2014, 9(2): 021005.

Paper No: CND-12-1224

https://doi.org/10.1115/1.4024911

Published Online: September 12, 2013

View Article titled, Optimal Control and Forward Dynamics of Human Periodic Motions Using Fourier Series for Muscle Excitation Patterns

Topics: Excitation, Muscle, Dynamics (Mechanics), Fourier series, Optimization

Journal Articles

Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

A. Khosrozadeh, M. A. Hajabasi, H. R. Fahham

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2013, 8(1): 014502.

Paper No: CND-11-1241

https://doi.org/10.1115/1.4006789

Published Online: July 23, 2012

View Article titled, Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

Topics: Approximation, Fourier series, Oscillations

Journal Articles

Frequency-Domain Identification of Linear Time-Periodic Systems Using LTI Techniques

Matthew S. Allen

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2009, 4(4): 041004.

https://doi.org/10.1115/1.3187151

Published Online: August 24, 2009

View Article titled, Frequency-Domain Identification of Linear Time-Periodic Systems Using LTI Techniques

Topics: Algorithms, Anisotropy, Fourier series, Noise (Sound), Rotors, Bearings, Nonlinear systems, Trajectories (Physics), Wind turbines, Displacement

Journal Articles

An Exact Fourier Series Method for the Vibration Analysis of Multispan Beam Systems

Wen L. Li, Hongan Xu

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2009, 4(2): 021001.

https://doi.org/10.1115/1.3079681

Published Online: March 6, 2009

View Article titled, An Exact Fourier Series Method for the Vibration Analysis of Multispan Beam Systems

Topics: Boundary-value problems, Displacement, Fourier series, Springs, Vibration, Vibration analysis, Stiffness, Polynomials

Journal Articles

Parametric Identification of Nonlinear Systems Using Chaotic Excitation

M. D. Narayanan, S. Narayanan, Chandramouli Padmanabhan

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2007, 2(3): 225–231.

https://doi.org/10.1115/1.2727489

Published Online: February 13, 2007

View Article titled, Parametric Identification of Nonlinear Systems Using Chaotic Excitation

Topics: Excitation, Fourier series, Nonlinear systems, Damping, Errors, Time series, Noise (Sound)

Journal citation

NARROW

On a Class of Periodic Inputs That Passively Quench the Superharmonic Resonance of a Symmetric Duffing Oscillator

Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Efficient Path Integration of Nonlinear Oscillators Subject to Combined Random and Harmonic Excitation

A Time Marching Integration for Semianalytical Solutions of Nonlinear Oscillators Based on Synchronization

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

Error Estimation of Fourier Series Expansion and Implication to Solution Accuracy for Nonlinear Dynamical Systems

An Approximate Solution for Period-1 Motions in a Periodically Forced Van Der Pol Oscillator

Optimal Control and Forward Dynamics of Human Periodic Motions Using Fourier Series for Muscle Excitation Patterns

Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

Frequency-Domain Identification of Linear Time-Periodic Systems Using LTI Techniques

An Exact Fourier Series Method for the Vibration Analysis of Multispan Beam Systems

Parametric Identification of Nonlinear Systems Using Chaotic Excitation

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