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Journal Articles

Numerical solution of fractional order Bagley-Torvik equation via Hermite wavelet method

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Accepted Manuscript
Muhammad Yousaf, Aman Ullah, Salman Zeb, Umar Farooq, Kamal Shah
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1032
https://doi.org/10.1115/1.4068580
Published Online: May 2, 2025
View Articletitled, Numerical solution of fractional order Bagley-Torvik equation via Hermite wavelet method
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Topics: Wavelets, Differential equations, Polynomials, Algebra
Journal Articles

Geometric algebra for multibody dynamics. Part II: Applications

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Accepted Manuscript
Olivier Bauchau
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1268
https://doi.org/10.1115/1.4067156
Published Online: November 15, 2024
View Articletitled, Geometric algebra for multibody dynamics. Part II: Applications
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Topics: Algebra, Multibody dynamics, Kinematics
Journal Articles

Geometric algebra for multibody dynamics. Part I: Elements of geometric algebra

Available to Purchase
Accepted Manuscript
Olivier Bauchau
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1267
https://doi.org/10.1115/1.4067155
Published Online: November 15, 2024
View Articletitled, Geometric algebra for multibody dynamics. Part I: Elements of geometric algebra
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Topics: Algebra, Multibody dynamics, Kinematics, Multibody systems, Computers, Reflection
Journal Articles

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

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Saurabh Kumar, Vikas Gupta
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121002.
Paper No: CND-24-1038
https://doi.org/10.1115/1.4066389
Published Online: September 21, 2024
View Articletitled, An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations
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Topics: Approximation, Errors, Function approximation, Polynomials, Algebra, Iterative methods
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

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R. Ju, S. M. Yang, H. Ren, W. Fan, R. C. Ni, P. Gu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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 Articletitled, Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations
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Topics: Algebra, Dynamic modeling, Fourier series, Steady state, Rotation, Frequency response, Equations of motion
Journal Articles

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning

Open Access
Lauri Pyrhönen, Thijs Willems, Aki Mikkola, Frank Naets
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051001.
Paper No: CND-23-1278
https://doi.org/10.1115/1.4064794
Published Online: March 7, 2024
View Articletitled, Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning
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Topics: Algorithms, Differential equations, Friction, Kinematics, Multibody systems, Regression models, State estimation, System dynamics, Torque, Trajectories (Physics)
Journal Articles

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

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P. K. Singh, S. Saha Ray
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011004.
Paper No: CND-22-1311
https://doi.org/10.1115/1.4063885
Published Online: November 15, 2023
View Articletitled, Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method
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Topics: Differential equations, Polynomials, Algebra, Error analysis
Journal Articles

Multibody Constraints in the Geometrically Nonlinear Intrinsic Formulation

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Yinan Wang, Keisuke Otsuka
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2023, 18(12): 121007.
Paper No: CND-23-1132
https://doi.org/10.1115/1.4063724
Published Online: October 26, 2023
View Articletitled, Multibody Constraints in the Geometrically Nonlinear Intrinsic Formulation
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Topics: Displacement, Hinges, Kinematics, Rotation, Simulation, Manufacturing, Dynamics (Mechanics), Deformation, Stress, Algebra
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

An Analytical Method for Sensitivity Analysis of Rigid Multibody System Dynamics Using Projective Geometric Algebra

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Guangzhen Sun, Ye Ding
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2023, 18(11): 111002.
Paper No: CND-22-1310
https://doi.org/10.1115/1.4063225
Published Online: September 14, 2023
View Articletitled, An Analytical Method for Sensitivity Analysis of Rigid Multibody System Dynamics Using Projective Geometric Algebra
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Topics: Algebra, Algorithms, Dynamics (Mechanics), Multibody systems, Particulate matter, Path planning, Sensitivity analysis, Robots, Rigid-body mechanisms, Inertia (Mechanics)
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

A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

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V. P. Premchand, Bipin Balaram, M. D. Narayanan, A. S. Sajith
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2022, 17(9): 091003.
Paper No: CND-22-1025
https://doi.org/10.1115/1.4054456
Published Online: May 18, 2022
View Articletitled, A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems
Open the PDF for A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems in another window
Topics: Algebra, Algorithms, Design, Energy budget (Physics), Stability, Nonlinear vibration, Vibration absorbers, Optimization, Errors, Bifurcation
Journal Articles

Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates

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Andreas Müller
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2022, 17(5): 051003.
Paper No: CND-21-1320
https://doi.org/10.1115/1.4053368
Published Online: March 8, 2022
View Articletitled, Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates
Open the PDF for Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates in another window
Topics: Multibody systems, Parametrization, Rotation, Screws, Kinematics, Equations of motion, Algebra
Journal Articles

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

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Muhammad Bilal Riaz, Adil Jhangeer, Jan Awrejcewicz, Dumitru Baleanu, Sana Tahir
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2022, 17(3): 031002.
Paper No: CND-21-1067
https://doi.org/10.1115/1.4052876
Published Online: December 6, 2021
View Articletitled, Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative
Open the PDF for Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative in another window
Topics: Algebra, Optical fiber, Solitons
Journal Articles

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

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Jorge L. Suzuki, Ehsan Kharazmi, Pegah Varghaei, Maryam Naghibolhosseini, Mohsen Zayernouri
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2021, 16(11): 111005.
Paper No: CND-20-1412
https://doi.org/10.1115/1.4052286
Published Online: September 22, 2021
View Articletitled, Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams
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Topics: Approximation, Cantilever beams, Dynamics (Mechanics), Equations of motion, Excitation, Free vibrations, Hamilton's principle, Nonlinear dynamics, Nonlinear systems, Relaxation (Physics)
Journal Articles

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Free
Premjit Saha, Tarunraj Singh, Gary Dargush
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.
Paper No: CND-21-1099
https://doi.org/10.1115/1.4051821
Published Online: August 11, 2021
View Articletitled, Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos
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Topics: Chaos, Differential algebraic equations, Polynomials, Pendulums, Algebra, Circuits, Uncertainty quantification
Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

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Edward J. Haug
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.
Paper No: CND-19-1329
https://doi.org/10.1115/1.4047499
Published Online: August 7, 2020
View Articletitled, Well-Posed Formulations for Nonholonomic Mechanical System Dynamics
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Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)
Journal Articles

Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

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T. Meyer, P. Li, B. Schweizer
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2020, 15(2): 021006.
Paper No: CND-19-1175
https://doi.org/10.1115/1.4045505
Published Online: December 19, 2019
View Articletitled, Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems
Open the PDF for Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems in another window
Topics: Algebra, Equations of motion, Errors, Pendulums, Stability, Simulation results, Simulation, Dimensions, Algorithms, Displacement
Journal Articles

Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

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Guoqi Zhang, Zhiqiang Wu, Yuancen Wang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2020, 15(2): 021004.
Paper No: CND-19-1057
https://doi.org/10.1115/1.4045631
Published Online: December 19, 2019
View Articletitled, Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder
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Topics: Approximation, Cylinders, Limit cycles, Vortex-induced vibration, Time series, Fluids, Errors, Algebra
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