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Journal Articles

Dynamically Equivalent, Decoupled Time-Invariant Forms Of Linear Parametrically Excited Structural Systems

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Accepted Manuscript
Ashu Sharma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1298
https://doi.org/10.1115/1.4068291
Published Online: March 25, 2025
View Articletitled, Dynamically Equivalent, Decoupled Time-Invariant Forms Of Linear Parametrically Excited Structural Systems
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Topics: Computer simulation, Differential equations, Eigenvalues, Equations of motion, Excitation, Linear systems, Manifolds, Modal analysis, Mode shapes
Journal Articles

On the improved efficiency of higher-order dynamics for computing resonant frequencies

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Accepted Manuscript
Eric T. Becker, Daniel J. Inman, John W. Sanders
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1280
https://doi.org/10.1115/1.4067985
Published Online: February 22, 2025
View Articletitled, On the improved efficiency of higher-order dynamics for computing resonant frequencies
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Topics: Dynamics (Mechanics), Resonance, Algorithms, Stiffness, Eigenvalues, Equations of motion, Hamilton's principle, Machinery, System dynamics
Journal Articles

Chaos Detection in Generalized ψ -Fractional Differential Systems

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N'Gbo N'Gbo, Changpin Li, Min Cai
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2025, 20(3): 031002.
Paper No: CND-24-1332
https://doi.org/10.1115/1.4067471
Published Online: January 3, 2025
View Articletitled, Chaos Detection in Generalized ψ -Fractional Differential Systems
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Topics: Chaos, Weight (Mass), Jacobian matrices, Approximation, Theorems (Mathematics), Eigenvalues
Journal Articles

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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator
Open the PDF for Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator in another window
Topics: Bifurcation, Degrees of freedom, Eigenvalues
Journal Articles

Stability of Vertically Traveling, Pre-tensioned, Heavy Cables

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, 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

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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 Articletitled, Assessment of Linearization Approaches for Multibody Dynamics Formulations
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Topics: Dynamics (Mechanics), Eigenvalues, Equilibrium (Physics), Kinematics, Linkages, Multibody dynamics, Pendulums, Algorithms