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Journal Articles

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

Tiago S. Martins, Francesco Trainotti, Andreas Zwölfer, Frederico Afonso
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2023, 18(7): 071008.
Paper No: CND-22-1326
DOI: https://doi.org/10.1115/1.4062424
Published Online: May 25, 2023
View Article titled, 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

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

Ping Zhou, Hui Ren
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
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
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

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

Keisuke Otsuka, Kanjuro Makihara, Hiroyuki Sugiyama
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Review Articles
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
View Article titled, 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

Andreas Müller
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
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
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

The Motion Formalism for Flexible Multibody Systems

Olivier A. Bauchau, Valentin Sonneville
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Review Articles
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
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

Multibody Dynamics on Differentiable Manifolds

Edward J. Haug
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2021, 16(4): 041003.
Paper No: CND-20-1428
DOI: https://doi.org/10.1115/1.4049995
Published Online: February 24, 2021
View Article titled, Multibody Dynamics on Differentiable Manifolds
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Topics: Kinematics, Manifolds, Multibody dynamics, Parametrization, Topology, Multibody systems
Journal Articles

Control Design and Robustness Analysis of Linear Time-Periodic Systems

S. Kalender, H. Flashner
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2008, 3(4): 041003.
DOI: https://doi.org/10.1115/1.2960481
Published Online: August 19, 2008
View Article titled, Control Design and Robustness Analysis of Linear Time-Periodic Systems
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Topics: Approximation, Control equipment, Control systems, Design, Errors, Robustness, Stability, Uncertainty, Parametrization, Time-varying systems