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Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang

J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.

Paper No: CND-22-1240

DOI: https://doi.org/10.1115/1.4057041

Published Online: March 20, 2023

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Topics: Differential equations, Eigenvalues, Jacobian matrices, Theorems (Mathematics), Volterra equations, Separation (Technology), Attractors, Computation

Journal Articles

Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations

Meng-Hsuan Tien, Ming-Fu Lu, Kiran D'Souza

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081001.

Paper No: CND-21-1354

DOI: https://doi.org/10.1115/1.4054152

Published Online: April 1, 2022

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Topics: Analog circuits, Dynamics (Mechanics), Nonlinear systems, Steady state, Circuits, Optimization, Eigenvalues, Approximation

Journal Articles

A Reduced and Linearized High Fidelity Waveboard Multibody Model for Stability Analysis

A. G. Agúndez, D. García-Vallejo, E. Freire, A. Mikkola

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051010.

Paper No: CND-21-1344

DOI: https://doi.org/10.1115/1.4053507

Published Online: March 14, 2022

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Topics: Eigenvalues, Equations of motion, Jacobian matrices, Stability, Wheels, Multibody systems

Journal Articles

A Hybrid Arbitrary Lagrangian Eulerian Formulation for the Investigation of the Stability of Pipes Conveying Fluid and Axially Moving Beams

Michael Pieber, Konstantina Ntarladima, Robert Winkler, Johannes Gerstmayr

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051006.

Paper No: CND-21-1299

DOI: https://doi.org/10.1115/1.4053505

Published Online: March 14, 2022

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Topics: Equations of motion, Fluids, Pipes, Stability, Flow (Dynamics), Eigenvalues

Journal Articles

A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems

Shuenn-Yih Chang

J. Comput. Nonlinear Dynam. April 2022, 17(4): 041002.

Paper No: CND-21-1243

DOI: https://doi.org/10.1115/1.4053270

Published Online: January 18, 2022

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Topics: Eigenvalues, Stability, Errors, Pendulums

Journal Articles

Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

Alok Sinha

J. Comput. Nonlinear Dynam. April 2022, 17(4): 041001.

Paper No: CND-21-1197

DOI: https://doi.org/10.1115/1.4053271

Published Online: January 13, 2022

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Topics: Boundary-value problems, Mode shapes, Partial differential equations, Eigenvalues, Galerkin method, Optimization, Time-varying systems

Journal Articles

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Changpin Li, Chuntao Yin

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071002.

Paper No: CND-21-1026

DOI: https://doi.org/10.1115/1.4051024

Published Online: May 18, 2021

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Topics: Differential equations, Eigenvalues

Journal Articles

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

Brian Tinsley, Ahmed A. Shabana

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011006.

Paper No: CND-20-1304

DOI: https://doi.org/10.1115/1.4048731

Published Online: November 11, 2020

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Topics: Displacement, Finite element analysis, Geometry, Rotation, Shapes, Stiffness, Inertia (Mechanics), Eigenvalues, Errors, Continuum mechanics

Journal Articles

Reducibility and Analysis of Linear Quasi-Periodic Systems Via Normal Forms

Peter M. B. Waswa, Sangram Redkar

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091010.

Paper No: CND-19-1489

DOI: https://doi.org/10.1115/1.4046899

Published Online: July 16, 2020

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Topics: Bifurcation, Excitation, Linear systems, Resonance, Stability, Performance, Eigenvalues

Journal Articles

Investigating Mode Localization at Lower- and Higher-Order Modes in Mechanically Coupled MEMS Resonators

Hassen M. Ouakad, Saad Ilyas, Mohammad I. Younis

J. Comput. Nonlinear Dynam. March 2020, 15(3): 031001.

Paper No: CND-19-1186

DOI: https://doi.org/10.1115/1.4045634

Published Online: January 8, 2020

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Topics: Eigenvalues, Microbeams, Microelectromechanical systems, Stress, Vibration analysis

Journal Articles

Multi-Objective Model Updating Optimization Considering Orthogonality

Braden T. Warwick, Il Yong Kim, Chris K. Mechefske

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061009.

Paper No: CND-18-1525

DOI: https://doi.org/10.1115/1.4043086

Published Online: April 8, 2019

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Topics: Degrees of freedom, Errors, Mode shapes, Optimization, Pareto optimization, Algorithms, Modal assurance criterion, Finite element model, Stiffness, Design

Journal Articles

Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator

Shan Yin, Jinchen Ji, Shuning Deng, Guilin Wen

J. Comput. Nonlinear Dynam. November 2018, 13(11): 111007.

Paper No: CND-18-1126

DOI: https://doi.org/10.1115/1.4041236

Published Online: September 12, 2018

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Topics: Bifurcation, Degrees of freedom, Eigenvalues

Journal Articles

Stability of Vertically Traveling, Pre-tensioned, Heavy Cables

Abhinav Ravindra Dehadrai, Ishan Sharma, Shakti S. Gupta

J. Comput. Nonlinear Dynam. August 2018, 13(8): 081003.

Paper No: CND-18-1005

DOI: https://doi.org/10.1115/1.4040344

Published Online: June 18, 2018

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Topics: Cables, Stability, String, Tension, Eigenvalues, Gravity (Force), Stiffness, Displacement, Modal analysis

Journal Articles

Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics

James J. O'Shea, Paramsothy Jayakumar, Dave Mechergui, Ahmed A. Shabana, Liang Wang

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041007.

Paper No: CND-17-1136

DOI: https://doi.org/10.1115/1.4039059

Published Online: February 28, 2018

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Topics: Deformation, Degrees of freedom, Dynamics (Mechanics), Multibody systems, Shapes, Boundary-value problems, Resonance, Finite element analysis, Eigenvalues, Simulation

Journal Articles

Complete and Simplified Models for Estimating Vibration Instability of Cyclically Symmetric Ring Structures: Comparison and Verification

Shiyu Wang, Penghui Zhang, Wenjia Sun

J. Comput. Nonlinear Dynam. March 2018, 13(3): 031006.

Paper No: CND-17-1346

DOI: https://doi.org/10.1115/1.4038446

Published Online: January 10, 2018

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Topics: Eigenvalues, Vibration, Potential energy, Stiffness

Journal Articles

Assessment of Linearization Approaches for Multibody Dynamics Formulations

Francisco González, Pierangelo Masarati, Javier Cuadrado, Miguel A. Naya

J. Comput. Nonlinear Dynam. July 2017, 12(4): 041009.

Paper No: CND-16-1493

DOI: https://doi.org/10.1115/1.4035410

Published Online: January 20, 2017

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Topics: Dynamics (Mechanics), Eigenvalues, Equilibrium (Physics), Kinematics, Linkages, Multibody dynamics, Pendulums, Algorithms

Journal Articles

A Piecewise-Linear Approximation of the Canonical Spring-Loaded Inverted Pendulum Model of Legged Locomotion

Zhuohua Shen, Justin Seipel

J. Comput. Nonlinear Dynam. January 2016, 11(1): 011007.

Paper No: CND-14-1187

DOI: https://doi.org/10.1115/1.4029664

Published Online: January 1, 2016

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Topics: Approximation, Dynamics (Mechanics), Legged locomotion, Stability, Bifurcation, Springs, Eigenvalues, Gravity (Force), Flight, Trajectories (Physics)

Journal Articles

Time Domain Approaches to the Stability Analysis of Flexible Dynamical Systems

Jielong Wang, Xiaowen Shan, Bin Wu, Olivier A. Bauchau

J. Comput. Nonlinear Dynam. July 2016, 11(4): 041003.

Paper No: CND-15-1075

DOI: https://doi.org/10.1115/1.4031675

Published Online: November 13, 2015

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Topics: Dynamic systems, Eigenvalues, Stability, Wings, Signals, Damping, Approximation

Journal Articles

Novel Hyperchaotic System and Its Circuit Implementation

Chaowen Feng, Li Cai, Qiang Kang, Sen Wang, Hongmei Zhang

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061012.

Paper No: CND-14-1136

DOI: https://doi.org/10.1115/1.4029227

Published Online: November 1, 2015

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Topics: Attractors, Bifurcation, Circuit design, Circuits, Eigenvalues, Equilibrium (Physics), Stability, Design

Journal Articles

New Results to a Three-Dimensional Chaotic System With Two Different Kinds of Nonisolated Equilibria

Haijun Wang, Xianyi Li

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061021.

Paper No: CND-14-1207

DOI: https://doi.org/10.1115/1.4030028

Published Online: November 1, 2015

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Topics: Bifurcation, Computer simulation, Cycles, Dynamics (Mechanics), Eigenvalues, Equilibrium (Physics), Flow (Dynamics), Stability, Attractors, Manifolds

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Journal citation

NARROW

Define the Lyapunov Exponents for ψ -Fractional Differential System

Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations

A Reduced and Linearized High Fidelity Waveboard Multibody Model for Stability Analysis

A Hybrid Arbitrary Lagrangian Eulerian Formulation for the Investigation of the Stability of Pipes Conveying Fluid and Axially Moving Beams

A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems

Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

Reducibility and Analysis of Linear Quasi-Periodic Systems Via Normal Forms

Investigating Mode Localization at Lower- and Higher-Order Modes in Mechanically Coupled MEMS Resonators

Multi-Objective Model Updating Optimization Considering Orthogonality

Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator

Stability of Vertically Traveling, Pre-tensioned, Heavy Cables

Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics

Complete and Simplified Models for Estimating Vibration Instability of Cyclically Symmetric Ring Structures: Comparison and Verification

Assessment of Linearization Approaches for Multibody Dynamics Formulations

A Piecewise-Linear Approximation of the Canonical Spring-Loaded Inverted Pendulum Model of Legged Locomotion

Time Domain Approaches to the Stability Analysis of Flexible Dynamical Systems

Novel Hyperchaotic System and Its Circuit Implementation

New Results to a Three-Dimensional Chaotic System With Two Different Kinds of Nonisolated Equilibria

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