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Journal Articles

Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System

Siyuan Xing, Albert C. J. Luo
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081008.
Paper No: CND-22-1298
https://doi.org/10.1115/1.4062201
Published Online: May 4, 2023
View Article titled, Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System
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Topics: Bifurcation, Homoclinic orbits, Eigenvalues
Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.
Paper No: CND-22-1240
https://doi.org/10.1115/1.4057041
Published Online: March 20, 2023
View Article titled, Define the Lyapunov Exponents for ψ -Fractional Differential System
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2022, 17(8): 081001.
Paper No: CND-21-1354
https://doi.org/10.1115/1.4054152
Published Online: April 1, 2022
View Article titled, Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2022, 17(5): 051010.
Paper No: CND-21-1344
https://doi.org/10.1115/1.4053507
Published Online: March 14, 2022
View Article titled, A Reduced and Linearized High Fidelity Waveboard Multibody Model for Stability Analysis
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2022, 17(5): 051006.
Paper No: CND-21-1299
https://doi.org/10.1115/1.4053505
Published Online: March 14, 2022
View Article titled, A Hybrid Arbitrary Lagrangian Eulerian Formulation for the Investigation of the Stability of Pipes Conveying Fluid and Axially Moving Beams
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2022, 17(4): 041002.
Paper No: CND-21-1243
https://doi.org/10.1115/1.4053270
Published Online: January 18, 2022
View Article titled, A Noniterative Problem-Dependent Formula for Stiff Dynamic Problems
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2022, 17(4): 041001.
Paper No: CND-21-1197
https://doi.org/10.1115/1.4053271
Published Online: January 13, 2022
View Article titled, Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2021, 16(7): 071002.
Paper No: CND-21-1026
https://doi.org/10.1115/1.4051024
Published Online: May 18, 2021
View Article titled, An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System
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Topics: Differential equations, Eigenvalues
Journal Articles

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

Brian Tinsley, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2021, 16(1): 011006.
Paper No: CND-20-1304
https://doi.org/10.1115/1.4048731
Published Online: November 11, 2020
View Article titled, Convergence Characteristics of Geometrically Accurate Spatial Finite Elements
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2020, 15(9): 091010.
Paper No: CND-19-1489
https://doi.org/10.1115/1.4046899
Published Online: July 16, 2020
View Article titled, Reducibility and Analysis of Linear Quasi-Periodic Systems Via Normal Forms
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2020, 15(3): 031001.
Paper No: CND-19-1186
https://doi.org/10.1115/1.4045634
Published Online: January 8, 2020
View Article titled, Investigating Mode Localization at Lower- and Higher-Order Modes in Mechanically Coupled MEMS Resonators
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2019, 14(6): 061009.
Paper No: CND-18-1525
https://doi.org/10.1115/1.4043086
Published Online: April 8, 2019
View Article titled, Multi-Objective Model Updating Optimization Considering Orthogonality
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111007.
Paper No: CND-18-1126
https://doi.org/10.1115/1.4041236
Published Online: September 12, 2018
View Article titled, Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081003.
Paper No: CND-18-1005
https://doi.org/10.1115/1.4040344
Published Online: June 18, 2018
View Article titled, Stability of Vertically Traveling, Pre-tensioned, Heavy Cables
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2018, 13(4): 041007.
Paper No: CND-17-1136
https://doi.org/10.1115/1.4039059
Published Online: February 28, 2018
View Article titled, Reference Conditions and Substructuring Techniques in Flexible Multibody System Dynamics
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031006.
Paper No: CND-17-1346
https://doi.org/10.1115/1.4038446
Published Online: January 10, 2018
View Article titled, Complete and Simplified Models for Estimating Vibration Instability of Cyclically Symmetric Ring Structures: Comparison and Verification
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2017, 12(4): 041009.
Paper No: CND-16-1493
https://doi.org/10.1115/1.4035410
Published Online: January 20, 2017
View Article titled, Assessment of Linearization Approaches for Multibody Dynamics Formulations
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011007.
Paper No: CND-14-1187
https://doi.org/10.1115/1.4029664
Published Online: January 1, 2016
View Article titled, A Piecewise-Linear Approximation of the Canonical Spring-Loaded Inverted Pendulum Model of Legged Locomotion
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041003.
Paper No: CND-15-1075
https://doi.org/10.1115/1.4031675
Published Online: November 13, 2015
View Article titled, Time Domain Approaches to the Stability Analysis of Flexible Dynamical Systems
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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
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061012.
Paper No: CND-14-1136
https://doi.org/10.1115/1.4029227
Published Online: November 1, 2015
View Article titled, Novel Hyperchaotic System and Its Circuit Implementation
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Topics: Attractors, Bifurcation, Circuit design, Circuits, Eigenvalues, Equilibrium (Physics), Stability, Design