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Journal Articles

Geometric Algebra for Multibody Dynamics—Part I: Elements of Geometric Algebra

Available to Purchase
Olivier A. Bauchau
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2025, 20(8): 081001.
Paper No: CND-24-1267
https://doi.org/10.1115/1.4067155
Published Online: May 19, 2025
View Articletitled, Geometric Algebra for Multibody Dynamics—Part I: Elements of Geometric Algebra
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Topics: Algebra, Reflection, Rotation, Multibody dynamics
Journal Articles

Surrogate Models for Compliant Joints in Programmable Structures

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Michael Pieber, Zhaowei Zhang, Peter Manzl, Johannes Gerstmayr
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2025, 20(8): 081010.
Paper No: CND-24-1314
https://doi.org/10.1115/1.4068579
Published Online: May 19, 2025
View Articletitled, Surrogate Models for Compliant Joints in Programmable Structures
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Topics: Artificial neural networks, Errors, Fittings, Hinges, Kinematics, Polynomials, Rotation, Springs, Linkages, Displacement
Journal Articles

A Nodal-Lie-Group Beam Element for Absolute Nodal Coordinate Formulations

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Binghua Zhang, Wei Fan, Hui Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2025, 20(3): 031005.
Paper No: CND-23-1284
https://doi.org/10.1115/1.4067581
Published Online: January 28, 2025
View Articletitled, A Nodal-Lie-Group Beam Element for Absolute Nodal Coordinate Formulations
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Topics: Deformation, Rotation, Shapes, Stiffness, Tensors, Torsion, Shear (Mechanics), Springs, Shells, Cantilever beams
Journal Articles

Optimization Algorithm-Based Fault-Tolerant Resilient Control for Helicopter System: The Finite-Time Case

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T. Satheesh, T. M. Anisha, R. Sakthivel, V. T. Elayabharath, Y. Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2025, 20(2): 021007.
Paper No: CND-24-1141
https://doi.org/10.1115/1.4067470
Published Online: January 3, 2025
View Articletitled, Optimization Algorithm-Based Fault-Tolerant Resilient Control for Helicopter System: The Finite-Time Case
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Topics: Actuators, Algorithms, Control equipment, Fluctuations (Physics), Optimization, Particle swarm optimization, Stability, Transients (Dynamics), Failure, Simulation
Journal Articles

Nonlinear Dynamic Analysis Framework for Slender Structures Using the Modal Rotation Method

Open Access
Yoshitaka Shizuno, Shuonan Dong, Ryo Kuzuno, Taiki Okada, Shugo Kawashima, Kanjuro Makihara, Keisuke Otsuka
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2025, 20(2): 021002.
Paper No: CND-24-1144
https://doi.org/10.1115/1.4067201
Published Online: December 9, 2024
View Articletitled, Nonlinear Dynamic Analysis Framework for Slender Structures Using the Modal Rotation Method
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Topics: Deformation, Dynamic analysis, Rotation, Shapes, Simulation, Stiffness, Wings, Displacement
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
Open the PDF for Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations in another window
Topics: Algebra, Dynamic modeling, Fourier series, Steady state, Rotation, Frequency response, Equations of motion
Journal Articles

The Approximate Analysis of Higher-Order Frequencies of Nonlinear Vibrations of a Cantilever Beam With the Extended Galerkin Method

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Baochen Meng, Chencheng Lian, Ji Wang, Huimin Jing, Rongxing Wu, Ji Lin, Isaac Elishakoff
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2024, 19(4): 041005.
Paper No: CND-23-1263
https://doi.org/10.1115/1.4064724
Published Online: February 29, 2024
View Articletitled, The Approximate Analysis of Higher-Order Frequencies of Nonlinear Vibrations of a Cantilever Beam With the Extended Galerkin Method
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Topics: Cantilever beams, Rotation, Vibration, Galerkin method, Mode shapes
Journal Articles

Motion Reconstruction of Fast-Rotating Rigid Bodies

Open Access
Rene Neurauter, Stefan Holzinger, Michael Neuhauser, Jan-Thomas Fischer, Johannes Gerstmayr
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011005.
Paper No: CND-23-1140
https://doi.org/10.1115/1.4063952
Published Online: November 22, 2023
View Articletitled, Motion Reconstruction of Fast-Rotating Rigid Bodies
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Topics: Algorithms, Errors, Magnetic induction, Magnetometers, Rotation, Sensors, Filtration, Magnetic fields
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

Stability Analysis of Nonlinear Rotating Systems Using Lyapunov Characteristic Exponents Estimated From Multibody Dynamics

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Gianni Cassoni, Andrea Zanoni, Aykut Tamer, Pierangelo Masarati
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081002.
Paper No: CND-22-1253
https://doi.org/10.1115/1.4056591
Published Online: May 4, 2023
View Articletitled, Stability Analysis of Nonlinear Rotating Systems Using Lyapunov Characteristic Exponents Estimated From Multibody Dynamics
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Topics: Blades, Dampers, Resonance, Rotors, Stability, Time series, Isotropy, Multibody dynamics, Rotation
Journal Articles

Novel Kinematics of an Anthropomorphic Prosthetic Hand Allowing Lateral and Opposite Grasp With a Single Actuator

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Côme Butin, Damien Chablat, Yannick Aoustin, David Gouaillier
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2023, 18(6): 061005.
Paper No: CND-22-1260
https://doi.org/10.1115/1.4056852
Published Online: April 8, 2023
View Articletitled, Novel Kinematics of an Anthropomorphic Prosthetic Hand Allowing Lateral and Opposite Grasp With a Single Actuator
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Topics: Actuators, Design, Grasping, Kinematics, Linkages, Prostheses, Rotation, Screws, Artificial limbs, Resolution (Optics)
Journal Articles

A Two-Dimensional Corotational Beam Formulation Based on the Local Frame of Special Euclidean Group SE ( 2 )

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Pu You, Zhuyong Liu, Ziqi Ma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2023, 18(5): 051005.
Paper No: CND-22-1337
https://doi.org/10.1115/1.4057044
Published Online: April 3, 2023
View Articletitled, A Two-Dimensional Corotational Beam Formulation Based on the Local Frame of Special Euclidean Group SE ( 2 )
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Topics: Deformation, Lie algebras, Rotation, Algorithms, Kinematics, Statics
Journal Articles

Beams With a Varying Cross Section in the Generalized Strain Formulation for Flexure Modeling

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Koen Dwarshuis, Ronald Aarts, Marcel Ellenbroek, Dannis Brouwer
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2023, 18(3): 031002.
Paper No: CND-22-1204
https://doi.org/10.1115/1.4056482
Published Online: January 11, 2023
View Articletitled, Beams With a Varying Cross Section in the Generalized Strain Formulation for Flexure Modeling
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Topics: Bending (Stress), Deformation, Stiffness, Stress, Torsion, Warping, Design, Mode shapes, Modeling, Rotation
Journal Articles

Constrained Multibody Kinematics and Dynamics in Absolute Coordinates: A Discussion of Three Approaches to Representing Rigid Body Rotation

Free
Alexandra Kissel, Jay Taves, Dan Negrut
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101008.
Paper No: CND-22-1033
https://doi.org/10.1115/1.4055140
Published Online: August 18, 2022
View Articletitled, Constrained Multibody Kinematics and Dynamics in Absolute Coordinates: A Discussion of Three Approaches to Representing Rigid Body Rotation
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Topics: Dynamics (Mechanics), Kinematics, Radium, Rotation
Journal Articles

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

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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 Articletitled, 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 Nonlinear Dynamic Model of Flywheel Energy Storage Systems Based on Alternative Concept of Back Propagation Neural Networks

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Haiting He, Yibing Liu, Liming Ba
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2022, 17(9): 091006.
Paper No: CND-21-1244
https://doi.org/10.1115/1.4054681
Published Online: June 7, 2022
View Articletitled, A Nonlinear Dynamic Model of Flywheel Energy Storage Systems Based on Alternative Concept of Back Propagation Neural Networks
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Topics: Artificial neural networks, Energy storage, Flywheels, Rotors, Stress, Torque, Winding (process), Rotation, Motors, Permanent magnets
Journal Articles

Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020

Open Access
Keisuke Otsuka, Kanjuro Makihara, Hiroyuki Sugiyama
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Review Articles
J. Comput. Nonlinear Dynam. August 2022, 17(8): 080803.
Paper No: CND-22-1023
https://doi.org/10.1115/1.4054113
Published Online: April 12, 2022
View Articletitled, Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020
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Topics: Cables, Computer-aided design, Deformation, Engineering simulation, Finite element analysis, Geometry, Modeling, Shear (Mechanics), Shells, Simulation
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

The Motion Formalism for Flexible Multibody Systems

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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 Articletitled, 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

Modeling of Robot's Low-Speed Motion Nonlinear Dynamics Based on Phase Space Reconstruction Neural Network

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Tie Zhang, Xiaohong Liang, Yanbiao Zou
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091003.
Paper No: CND-21-1071
https://doi.org/10.1115/1.4051337
Published Online: July 8, 2021
View Articletitled, Modeling of Robot's Low-Speed Motion Nonlinear Dynamics Based on Phase Space Reconstruction Neural Network
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Topics: Artificial neural networks, Friction, Motors, Phase space, Torque, Engines, Nonlinear dynamics, Robots, Modeling, Rotation