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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

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

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 Article titled, 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

Simple Recipe for Accurate Solution of Fractional Order Equations

Sambit Das, Anindya Chatterjee
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2013, 8(3): 031007.
Paper No: CND-12-1069
https://doi.org/10.1115/1.4023009
Published Online: December 19, 2012
View Article titled, Simple Recipe for Accurate Solution of Fractional Order Equations
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Topics: Approximation, Errors, Matlab, Dynamics (Mechanics), Differential algebraic equations
Journal Articles

Use of the Non-Inertial Coordinates in the Analysis of Train Longitudinal Forces

Ahmed A. Shabana, Ahmed K. Aboubakr, Lifen Ding
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011001.
https://doi.org/10.1115/1.4004122
Published Online: July 22, 2011
View Article titled, Use of the Non-Inertial Coordinates in the Analysis of Train Longitudinal Forces
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Topics: Algebra, Deformation, Equations of motion, Gears, Kinematics, Springs, Trains, Algorithms, Railroads, Differential algebraic equations
Journal Articles

A PID Type Constraint Stabilization Method for Numerical Integration of Multibody Systems

Shih-Tin Lin, Ming-Wen Chen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. October 2011, 6(4): 044501.
https://doi.org/10.1115/1.4002688
Published Online: April 14, 2011
View Article titled, A PID Type Constraint Stabilization Method for Numerical Integration of Multibody Systems
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Topics: Algebra, Control equipment, Control theory, Equations of motion, Errors, Multibody systems, Simulation, Stability, Steady state, Design
Journal Articles

Unified Galerkin- and DAE-Based Approximation of Fractional Order Systems

Satwinder Jit Singh, Anindya Chatterjee
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021010.
https://doi.org/10.1115/1.4002516
Published Online: October 28, 2010
View Article titled, Unified Galerkin- and DAE-Based Approximation of Fractional Order Systems
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Topics: Approximation, Stability, Differential algebraic equations, Galerkin method
Journal Articles

Control Constraint Realization for Multibody Systems

Alessandro Fumagalli, Pierangelo Masarati, Marco Morandini, Paolo Mantegazza
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2011, 6(1): 011002.
https://doi.org/10.1115/1.4002087
Published Online: September 27, 2010
View Article titled, Control Constraint Realization for Multibody Systems
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Topics: Algebra, Algorithms, Dynamics (Mechanics), Flexible systems, Gantry cranes, Linear systems, Manifolds, Multibody systems, Springs, Trajectories (Physics)
Journal Articles

Scaling of Constraints and Augmented Lagrangian Formulations in Multibody Dynamics Simulations

Olivier A. Bauchau, Alexander Epple, Carlo L. Bottasso
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2009, 4(2): 021007.
https://doi.org/10.1115/1.3079826
Published Online: March 9, 2009
View Article titled, Scaling of Constraints and Augmented Lagrangian Formulations in Multibody Dynamics Simulations
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Topics: Equations of motion, Jacobian matrices, Multibody systems, Simulation, Multibody dynamics, Differential algebraic equations, Algebra, Errors
Journal Articles

Review of Contemporary Approaches for Constraint Enforcement in Multibody Systems

Olivier A. Bauchau, André Laulusa
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(1): 011005.
https://doi.org/10.1115/1.2803258
Published Online: November 2, 2007
View Article titled, Review of Contemporary Approaches for Constraint Enforcement in Multibody Systems
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Topics: Algorithms, Control theory, Differential algebraic equations, Equations of motion, Finite element analysis, Finite element methods, Machinery, Multibody dynamics, Multibody systems, Stability
Journal Articles

A Practical Approach for the Linearization of the Constrained Multibody Dynamics Equations

Dan Negrut, Jose L. Ortiz
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2006, 1(3): 230–239.
https://doi.org/10.1115/1.2198876
Published Online: February 25, 2006
View Article titled, A Practical Approach for the Linearization of the Constrained Multibody Dynamics Equations
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Topics: Algebra, Blades, Differential algebraic equations, Differential equations, Dynamics (Mechanics), Equations of motion, Friction, Multibody dynamics, Rotors, Stators