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Journal Articles

A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors

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Jamal-Odysseas Maaita, Dimitrios Prousalis
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011008.
Paper No: CND-24-1079
https://doi.org/10.1115/1.4067010
Published Online: December 9, 2024
View Articletitled, A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors
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Topics: Attractors, Chaos, Computation, Liquid crystalline elastomers, Dynamic systems
Journal Articles

A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System With Time Delay

Open Access
Chenglin Li, Qingpeng Luo, Guang Meng, Xianbo Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011006.
Paper No: CND-24-1033
https://doi.org/10.1115/1.4067062
Published Online: November 21, 2024
View Articletitled, A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System With Time Delay
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Topics: Algorithms, Computation, Cutting, Delays, Dimensions, Machining, Milling, Robotics, Stability, Delay differential equations
Journal Articles

Harmonic Response of a Highly Flexible Thin Long Cantilever Beam: A Semi-Analytical Approach in Time-Domain With ANCF Modeling and Experimental Validation

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A. R. Renjith, Reek Jyoti Hati, I. R. Praveen Krishna
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. September 2024, 19(9): 094501.
Paper No: CND-24-1056
https://doi.org/10.1115/1.4065880
Published Online: July 13, 2024
View Articletitled, Harmonic Response of a Highly Flexible Thin Long Cantilever Beam: A Semi-Analytical Approach in Time-Domain With ANCF Modeling and Experimental Validation
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Topics: Cantilever beams, Damping, Gravity (Force), Modeling, Deflection, Excitation, Variational techniques, Finite element methods, Computation
Journal Articles

A Hybrid Continuation Framework for Analyzing Nonlinear Normal Modes of Systems With Contact Nonlinearity

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Shih-Chun Huang, Meng-Hsuan Tien
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071008.
Paper No: CND-23-1308
https://doi.org/10.1115/1.4064272
Published Online: May 13, 2024
View Articletitled, A Hybrid Continuation Framework for Analyzing Nonlinear Normal Modes of Systems With Contact Nonlinearity
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Topics: Computation, High cycle fatigue, Springs, Degrees of freedom, Displacement, Stiffness, Modal analysis, Nonlinear systems
Journal Articles

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method

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Kensuke Hara
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2023, 18(12): 121006.
Paper No: CND-22-1345
https://doi.org/10.1115/1.4063722
Published Online: October 26, 2023
View Articletitled, Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based on the Arbitrary Lagrangian–Eulerian Method
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Topics: Algebra, Damping, Fluids, Sloshing, Computation, Size reduction (Materials), Differential equations, Displacement, Equations of motion
Journal Articles

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

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Tiago S. Martins, Francesco Trainotti, Andreas Zwölfer, Frederico Afonso
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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 Articletitled, A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics
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Topics: Cycles, Dry friction, Dynamics (Mechanics), Errors, Frequency response, Parametrization, Polynomials, Structural dynamics, Steady state, Springs
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

On the Use of Half-Implicit Numerical Integration in Multibody Dynamics

Free
Luning Fang, Alexandra Kissel, Ruochun Zhang, Dan Negrut
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2023, 18(1): 014501.
Paper No: CND-22-1206
https://doi.org/10.1115/1.4056183
Published Online: November 17, 2022
View Articletitled, On the Use of Half-Implicit Numerical Integration in Multibody Dynamics
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Topics: Equations of motion, Friction, Jacobian matrices, Multibody dynamics, Pendulums, Computation, Simulation, Kinematics, Computer software, Differential algebraic equations
Journal Articles

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

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Susheelkumar C. Subramanian, Sangram Redkar
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2022, 17(9): 091002.
Paper No: CND-22-1028
https://doi.org/10.1115/1.4054349
Published Online: May 10, 2022
View Articletitled, Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation
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Topics: Manifolds, Errors, Computation
Journal Articles

Computation of Direct Sensitivities of Spatial Multibody Systems With Joint Friction

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Adwait Verulkar, Corina Sandu, Daniel Dopico, Adrian Sandu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2022, 17(7): 071006.
Paper No: CND-21-1337
https://doi.org/10.1115/1.4054110
Published Online: April 1, 2022
View Articletitled, Computation of Direct Sensitivities of Spatial Multibody Systems With Joint Friction
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Topics: Friction, Multibody systems, Dynamics (Mechanics), Sensitivity analysis, Computation
Journal Articles

A Block Matrix-Based Precise Integration Algorithm for Solving Nonhomogeneous Dynamic Response

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Chao Zhang, Mingxiang Ling, Meng Tao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2022, 17(1): 011005.
Paper No: CND-21-1115
https://doi.org/10.1115/1.4052651
Published Online: November 9, 2021
View Articletitled, A Block Matrix-Based Precise Integration Algorithm for Solving Nonhomogeneous Dynamic Response
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Topics: Algorithms, Computation, Degrees of freedom, Dynamic response, Dynamic systems, Excitation, Interpolation, Errors, Oscillations, Computers
Journal Articles

Numerical Methods to Compute the Coriolis Matrix and Christoffel Symbols for Rigid-Body Systems

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Sebastian Echeandia, Patrick M. Wensing
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091004.
Paper No: CND-20-1319
https://doi.org/10.1115/1.4051169
Published Online: July 12, 2021
View Articletitled, Numerical Methods to Compute the Coriolis Matrix and Christoffel Symbols for Rigid-Body Systems
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Topics: Algorithms, Numerical analysis, Computation
Journal Articles

Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

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Ashu Sharma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2021, 16(5): 051005.
Paper No: CND-20-1320
https://doi.org/10.1115/1.4050614
Published Online: April 12, 2021
View Articletitled, Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems
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Topics: Computation, Stability, Construction, Theorems (Mathematics)
Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

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Philipp Eichmeir, Karin Nachbagauer, Thomas Lauß, Karim Sherif, Wolfgang Steiner
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2021, 16(3): 031003.
Paper No: CND-20-1290
https://doi.org/10.1115/1.4049334
Published Online: January 22, 2021
View Articletitled, Time-Optimal Control of Dynamic Systems Regarding Final Constraints
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Topics: Algorithms, Boundary-value problems, Differential equations, Dynamic systems, Errors, Optimal control, Optimization, Robots, Time optimal control, Pendulums
Journal Articles

Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

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Qinglong Tian, Peng Lan, Zuqing Yu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2020, 15(10): 101008.
Paper No: CND-20-1112
https://doi.org/10.1115/1.4047868
Published Online: August 7, 2020
View Articletitled, Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method
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Topics: Deformation, Degrees of freedom, Equations of motion, Multibody dynamics, Multibody systems, Pendulums, Rotation, Simulation, Spin (Aerodynamics), Spinning (Textile)
Journal Articles

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

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Bingen Yang, Yichi Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2020, 15(9): 091006.
Paper No: CND-19-1457
https://doi.org/10.1115/1.4046641
Published Online: July 16, 2020
View Articletitled, A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies
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Topics: Displacement, Excitation, Laplace transforms, Structural mechanics, Transfer functions, Transient analysis, Transients (Dynamics), Vibration, Vibration analysis, Finite element analysis
Journal Articles

Semihyper-Reduction for Finite Element Structures With Nonlinear Surface Loads on the Basis of Stress Modes

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Lukas Koller, Wolfgang Witteveen, Florian Pichler, Peter Fischer
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2020, 15(8): 081004.
Paper No: CND-19-1174
https://doi.org/10.1115/1.4047334
Published Online: June 17, 2020
View Articletitled, Semihyper-Reduction for Finite Element Structures With Nonlinear Surface Loads on the Basis of Stress Modes
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Topics: Computation, Pressure, Stress, Pistons, Deformation
Journal Articles

Parameter Identification on Flexible Multibody Models Using the Adjoint Variable Method and Flexible Natural Coordinate Formulation

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Simon Vanpaemel, Frank Naets, Martijn Vermaut, Wim Desmet
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2020, 15(7): 071006.
Paper No: CND-19-1483
https://doi.org/10.1115/1.4047086
Published Online: May 21, 2020
View Articletitled, Parameter Identification on Flexible Multibody Models Using the Adjoint Variable Method and Flexible Natural Coordinate Formulation
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Topics: Equations of motion, Multibody systems, Optimization, Sensitivity analysis, Simulation, Springs, Stiffness, Stress, Computation, Kinematics
Journal Articles

Separate Time Integration Based on the Hilber, Hughes, Taylor Scheme for Flexible Bodies With a Large Number of Modes

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Wolfgang Witteveen, Florian Pichler
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2020, 15(6): 061001.
Paper No: CND-19-1276
https://doi.org/10.1115/1.4046733
Published Online: April 13, 2020
View Articletitled, Separate Time Integration Based on the Hilber, Hughes, Taylor Scheme for Flexible Bodies With a Large Number of Modes
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Topics: Computation, Deformation, Inertia (Mechanics), Pistons, Shapes, Simulation, Stiffness, Vibration, Algorithms
Journal Articles

Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps

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Majid Gazor, Mahsa Kazemi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011001.
Paper No: CND-18-1510
https://doi.org/10.1115/1.4045286
Published Online: November 11, 2019
View Articletitled, Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps
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Topics: Bifurcation, Scalars, Algebra, Computation, Geometry