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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

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 Article titled, 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

A Geometric Derivation of the Governing Equations of Motion of Nonholonomic Dynamic Systems

Xiaobo Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2024, 19(11): 111002.
Paper No: CND-24-1114
https://doi.org/10.1115/1.4066073
Published Online: August 22, 2024
View Article titled, A Geometric Derivation of the Governing Equations of Motion of Nonholonomic Dynamic Systems
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Topics: Dynamic systems, Equations of motion, Manifolds, Disks
Journal Articles

Deployment Dynamics and Control of a Hub-Spoke Tethered Satellite Formation Using Combined Arbitrary Lagrange-Euler and Referenced Nodal Coordinate Formulation

Wang Yu, Fan Wei, Ren Hui
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101004.
Paper No: CND-24-1073
https://doi.org/10.1115/1.4066043
Published Online: August 20, 2024
View Article titled, Deployment Dynamics and Control of a Hub-Spoke Tethered Satellite Formation Using Combined Arbitrary Lagrange-Euler and Referenced Nodal Coordinate Formulation
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Topics: Dynamics (Mechanics), Satellites, Tension, Spin (Aerodynamics), Equations of motion, Torque
Journal Articles

Nonlinear Static and Dynamic Responses of a Floating Rod Pendulum

Mohammed Khair Al-Solihat
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091004.
Paper No: CND-24-1042
https://doi.org/10.1115/1.4065899
Published Online: July 25, 2024
View Article titled, Nonlinear Static and Dynamic Responses of a Floating Rod Pendulum
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Topics: Dynamic response, Equilibrium (Physics), Frequency response, Pendulums, Bifurcation, Density, Hydrostatics, Water, Equations of motion
Journal Articles

Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration

Alexandra Kissel, Luning Bakke, Dan Negrut
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071002.
Paper No: CND-23-1274
https://doi.org/10.1115/1.4065254
Published Online: May 13, 2024
View Article titled, Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration
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Topics: Differential equations, Equations of motion, Kinematics, Multibody dynamics, Pendulums, Radium, Simulation, Constraint equations, Algorithms
Journal Articles

Alternate Forms to Lagrange–D'Alembert Principle for Treatment of Rheonomic Constraints

Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. April 2024, 19(4): 044501.
Paper No: CND-23-1239
https://doi.org/10.1115/1.4064722
Published Online: February 29, 2024
View Article titled, Alternate Forms to Lagrange–D'Alembert Principle for Treatment of Rheonomic Constraints
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Topics: Constraint equations, D'Alembert's principle, Equations of motion, Inertia (Mechanics), Displacement
Journal Articles

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

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 Article titled, 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

Dynamic Modeling and Control of a Flexible Planar Three-Link Mechanism Using Joint and Piezoelectric Actuators

Daniel E. Hill
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2023, 18(12): 121003.
Paper No: CND-23-1096
https://doi.org/10.1115/1.4063563
Published Online: October 18, 2023
View Article titled, Dynamic Modeling and Control of a Flexible Planar Three-Link Mechanism Using Joint and Piezoelectric Actuators
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Topics: Actuators, Control equipment, Design, Dynamic modeling, Dynamic models, End effectors, Equations of motion, Errors, Piezoelectric actuators, Robustness
Journal Articles

Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems With Coulomb Friction

Amir Shahhosseini, Meng-Hsuan Tien, Kiran D'Souza
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2023, 18(7): 071004.
Paper No: CND-22-1307
https://doi.org/10.1115/1.4062203
Published Online: April 19, 2023
View Article titled, Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems With Coulomb Friction
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Topics: Coulombs, Friction, Switches, Dynamics (Mechanics), Computational methods, Equations of motion
Journal Articles

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

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 Article titled, 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

Modal Analysis for Localization of Harmonic Oscillations in Nonlinear Oscillator Arrays

Yuji Harata, Takashi Ikeda
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2022, 17(12): 121001.
Paper No: CND-22-1069
https://doi.org/10.1115/1.4055430
Published Online: September 26, 2022
View Article titled, Modal Analysis for Localization of Harmonic Oscillations in Nonlinear Oscillator Arrays
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Topics: Frequency response, Modal analysis, Oscillations, Equations of motion
Journal Articles

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Ping Zhou, Hui Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.
Paper No: CND-21-1358
https://doi.org/10.1115/1.4054801
Published Online: June 22, 2022
View Article titled, Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
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Topics: Constraint equations, Equations of motion, Parametrization, Rotation, Stability, Dynamics (Mechanics), System dynamics, Differential equations
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

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

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 Article titled, Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates
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Topics: Multibody systems, Parametrization, Rotation, Screws, Kinematics, Equations of motion, Algebra
Journal Articles

An Alternative Formulation for Modeling Self-Excited Vibrations of Drillstring With Polycrystalline Diamond Compact Bits

Kaixiao Tian, Emmanuel Detournay, He Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2022, 17(5): 051002.
Paper No: CND-21-1308
https://doi.org/10.1115/1.4053407
Published Online: March 8, 2022
View Article titled, An Alternative Formulation for Modeling Self-Excited Vibrations of Drillstring With Polycrystalline Diamond Compact Bits
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Topics: Delays, Drill strings, Equations of motion, Galerkin method, Modeling, Polycrystalline diamond compact bits, Rocks, Stability, Torque, Trajectories (Physics)
Journal Articles

The Motion Formalism for Flexible Multibody Systems

Olivier A. Bauchau, Valentin Sonneville
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Review Articles
J. Comput. Nonlinear Dynam. March 2022, 17(3): 030801.
Paper No: CND-21-1335
https://doi.org/10.1115/1.4053148
Published Online: January 7, 2022
View Article titled, The Motion Formalism for Flexible Multibody Systems
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Topics: Deformation, Displacement, Equations of motion, Finite element analysis, Interpolation, Kinematics, Multibody systems, Parametrization, Rotation, Structural elements (Construction)
Journal Articles

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

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 Article titled, 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

On the Dynamics of a Biomimetic Model of a Sympodial Tree: From Bifurcations Diagrams and 6D Basins of Attraction to Dynamical Integrity and Robustness

Nemanja Andonovski, Ivana Kovacic, Stefano Lenci
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2022, 17(1): 011002.
Paper No: CND-21-1092
https://doi.org/10.1115/1.4052570
Published Online: October 29, 2021
View Article titled, On the Dynamics of a Biomimetic Model of a Sympodial Tree: From Bifurcations Diagrams and 6D Basins of Attraction to Dynamical Integrity and Robustness
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Topics: Attractors, Bifurcation, Biomimetics, Quadratic programming, Robustness, Transparency, Excitation, Damping, Steady state, Dynamics (Mechanics)
Journal Articles

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

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 Article titled, 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)