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Journal Articles

A 2D Corotational Beam Formulation Based On the Local Frame of Special Euclidean Group SE(2)

Pu You, Zhuyong Liu, Ziqi Ma

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1337

DOI: https://doi.org/10.1115/1.4057044

Published Online: March 6, 2023

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Topics: Algorithms, Deformation, Finite element analysis, Lie algebras, Multibody dynamics, Rigid-body mechanisms, Rotation, Simulation

Journal Articles

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

Koen Dwarshuis, Ronald Aarts, Marcel Ellenbroek, Dannis Brouwer

J. Comput. Nonlinear Dynam. March 2023, 18(3): 031002.

Paper No: CND-22-1204

DOI: https://doi.org/10.1115/1.4056482

Published Online: January 11, 2023

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Topics: Bending (Stress), Deformation, Stiffness, Stress, Torsion, Warping, Design, Mode shapes, Modeling, Rotation

Journal Articles

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

Gianni Cassoni, Andrea Zanoni, Aykut Tamer, Pierangelo Masarati

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1253

DOI: https://doi.org/10.1115/1.4056591

Published Online: January 3, 2023

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Topics: Multibody dynamics, Stability, Blades, Dampers, Design, Engineering simulation, Failure, Isotropy, Jacobian matrices, Limit cycles

Journal Articles

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

Alexandra Kissel, Jay Taves, Dan Negrut

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101008.

Paper No: CND-22-1033

DOI: https://doi.org/10.1115/1.4055140

Published Online: August 18, 2022

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Topics: Dynamics (Mechanics), Kinematics, Radium, Rotation

Journal Articles

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

Ping Zhou, Hui Ren

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.

Paper No: CND-21-1358

DOI: https://doi.org/10.1115/1.4054801

Published Online: June 22, 2022

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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

Haiting He, Yibing Liu, Liming Ba

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091006.

Paper No: CND-21-1244

DOI: https://doi.org/10.1115/1.4054681

Published Online: June 7, 2022

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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

Keisuke Otsuka, Kanjuro Makihara, Hiroyuki Sugiyama

J. Comput. Nonlinear Dynam. August 2022, 17(8): 080803.

Paper No: CND-22-1023

DOI: https://doi.org/10.1115/1.4054113

Published Online: April 12, 2022

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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

Andreas Müller

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051003.

Paper No: CND-21-1320

DOI: https://doi.org/10.1115/1.4053368

Published Online: March 8, 2022

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Topics: Multibody systems, Parametrization, Rotation, Screws, Kinematics, Equations of motion, Algebra

Journal Articles

The Motion Formalism for Flexible Multibody Systems

Olivier A. Bauchau, Valentin Sonneville

J. Comput. Nonlinear Dynam. March 2022, 17(3): 030801.

Paper No: CND-21-1335

DOI: https://doi.org/10.1115/1.4053148

Published Online: January 7, 2022

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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

Tie Zhang, Xiaohong Liang, Yanbiao Zou

J. Comput. Nonlinear Dynam. September 2021, 16(9): 091003.

Paper No: CND-21-1071

DOI: https://doi.org/10.1115/1.4051337

Published Online: July 8, 2021

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Topics: Artificial neural networks, Friction, Motors, Phase space, Torque, Engines, Nonlinear dynamics, Robots, Modeling, Rotation

Journal Articles

Two-Dimensional Modeling of Nonlinear Dynamics of Forcespinning Jet Formation

Dumitru I. Caruntu, Simon Padron, Karen Lozano

J. Comput. Nonlinear Dynam. August 2021, 16(8): 081006.

Paper No: CND-19-1378

DOI: https://doi.org/10.1115/1.4051167

Published Online: June 17, 2021

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Topics: Computer simulation, Fibers, Fluids, Rotation, Steady state, Trajectories (Physics), Jets, Modeling, Nanofibers, Surface tension

Journal Articles

Nonlinear Dynamics of the Parametric Pendulum With a View on Wave Energy Harvesting Applications

Franco E. Dotti, Juan N. Virla

J. Comput. Nonlinear Dynam. June 2021, 16(6): 061007.

Paper No: CND-20-1432

DOI: https://doi.org/10.1115/1.4050699

Published Online: May 10, 2021

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Topics: Pendulums, Nonlinear dynamics, Wave energy, Rotation, Dynamics (Mechanics)

Journal Articles

A General Purpose Formulation for Nonsmooth Dynamics With Finite Rotations: Application to the Woodpecker Toy

Alejandro Cosimo, Federico J. Cavalieri, Javier Galvez, Alberto Cardona, Olivier Brüls

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031001.

Paper No: CND-20-1149

DOI: https://doi.org/10.1115/1.4049218

Published Online: December 18, 2020

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Topics: Displacement, Equations of motion, Finite element analysis, Non-smooth dynamics, Modeling, Dynamics (Mechanics), Friction, Simulation, Multibody dynamics, Poles (Building)

Journal Articles

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

Brian Tinsley, Ahmed A. Shabana

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011006.

Paper No: CND-20-1304

DOI: https://doi.org/10.1115/1.4048731

Published Online: November 11, 2020

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Topics: Displacement, Finite element analysis, Geometry, Rotation, Shapes, Stiffness, Inertia (Mechanics), Eigenvalues, Errors, Continuum mechanics

Journal Articles

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

P. Veeresha, D. G. Prakasha, Dumitru Baleanu

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011002.

Paper No: CND-19-1399

DOI: https://doi.org/10.1115/1.4048577

Published Online: October 29, 2020

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Topics: Algorithms, Laplace transforms, Rotation, Theorems (Mathematics), Thermoelasticity

Journal Articles

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

Qinglong Tian, Peng Lan, Zuqing Yu

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101008.

Paper No: CND-20-1112

DOI: https://doi.org/10.1115/1.4047868

Published Online: August 7, 2020

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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

Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics

Shilei Han, Olivier A. Bauchau

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091003.

Paper No: CND-19-1419

DOI: https://doi.org/10.1115/1.4046736

Published Online: July 16, 2020

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Topics: Equations of motion, Errors, Galerkin method, Interpolation, Multibody dynamics, Multibody systems, Rotation, Tensors, Displacement, Buckling

Journal Articles

Nonlinear Dynamics of a Rotary Energy Harvester With a Double Frequency Up-Conversion Mechanism

Saman Nezami, Soobum Lee

J. Comput. Nonlinear Dynam. September 2020, 15(9): 091011.

Paper No: CND-19-1490

DOI: https://doi.org/10.1115/1.4047238

Published Online: July 16, 2020

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Topics: Blades, Disks, Energy harvesting, Magnets, Kinetic energy, Vibration, Gravity (Force), Rotation

Journal Articles

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

Simon Vanpaemel, Frank Naets, Martijn Vermaut, Wim Desmet

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071006.

Paper No: CND-19-1483

DOI: https://doi.org/10.1115/1.4047086

Published Online: May 21, 2020

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Topics: Equations of motion, Multibody systems, Optimization, Sensitivity analysis, Simulation, Springs, Stiffness, Stress, Computation, Kinematics

Journal Articles

Noncommutativity of Finite Rotations and Definitions of Curvature and Torsion

Ahmed A. Shabana, Hao Ling

J. Comput. Nonlinear Dynam. September 2019, 14(9): 091005.

Paper No: CND-19-1073

DOI: https://doi.org/10.1115/1.4043726

Published Online: July 15, 2019

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Topics: Rotation, Torsion, Geometry, Deformation

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A 2D Corotational Beam Formulation Based On the Local Frame of Special Euclidean Group SE(2)

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

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

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

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

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

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

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

The Motion Formalism for Flexible Multibody Systems

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

Two-Dimensional Modeling of Nonlinear Dynamics of Forcespinning Jet Formation

Nonlinear Dynamics of the Parametric Pendulum With a View on Wave Energy Harvesting Applications

A General Purpose Formulation for Nonsmooth Dynamics With Finite Rotations: Application to the Woodpecker Toy

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

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

Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics

Nonlinear Dynamics of a Rotary Energy Harvester With a Double Frequency Up-Conversion Mechanism

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

Noncommutativity of Finite Rotations and Definitions of Curvature and Torsion

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