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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

An Optimized Efficient Galerkin Averaging-Incremental Harmonic Balance Method for High-Dimensional Spatially Discretized Models of Continuous Systems Based on Parallel Computing

R. Ju, W. D. Zhu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2021, 16(12): 121003.
Paper No: CND-21-1113
https://doi.org/10.1115/1.4052147
Published Online: September 23, 2021
View Article titled, An Optimized Efficient Galerkin Averaging-Incremental Harmonic Balance Method for High-Dimensional Spatially Discretized Models of Continuous Systems Based on Parallel Computing
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Topics: Tensors, Time series, Jacobian matrices, Computers
Journal Articles

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

Shilei Han, Olivier A. Bauchau
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2020, 15(9): 091003.
Paper No: CND-19-1419
https://doi.org/10.1115/1.4046736
Published Online: July 16, 2020
View Article titled, Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics
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Topics: Equations of motion, Errors, Galerkin method, Interpolation, Multibody dynamics, Multibody systems, Rotation, Tensors, Displacement, Buckling
Journal Articles

On the Euler–Lagrange Equation for Planar Systems of Rigid Bodies or Lumped Masses

R. Wiebe, P. S. Harvey, Jr.
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. September 2019, 14(9): 094502.
Paper No: CND-18-1479
https://doi.org/10.1115/1.4044145
Published Online: July 15, 2019
View Article titled, On the Euler–Lagrange Equation for Planar Systems of Rigid Bodies or Lumped Masses
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Topics: Dynamic systems, Equations of motion, Equilibrium (Physics), Kinematics, Kinetic energy, Pendulums, Potential energy, Rotation, Errors, Nonlinear dynamics
Journal Articles

Multidimensional Approximation of Nonlinear Dynamical Systems

Patrick Gelß, Stefan Klus, Jens Eisert, Christof Schütte
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2019, 14(6): 061006.
Paper No: CND-18-1456
https://doi.org/10.1115/1.4043148
Published Online: April 8, 2019
View Article titled, Multidimensional Approximation of Nonlinear Dynamical Systems
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Topics: Tensors, Trains, Approximation, Nonlinear dynamical systems
Journal Articles

Three-Dimensional Finite Element Simulations on Impact Responses of Gels With Fractional Derivative Models

Masataka Fukunaga, Masaki Fujikawa, Nobuyuki Shimizu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2019, 14(4): 041011.
Paper No: CND-18-1367
https://doi.org/10.1115/1.4042525
Published Online: February 15, 2019
View Article titled, Three-Dimensional Finite Element Simulations on Impact Responses of Gels With Fractional Derivative Models
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Topics: Displacement, Finite element analysis, Finite element methods, Simulation, Stress, Tensors, Poisson ratio, Stress tensors, Deformation, Computer simulation
Journal Articles

Discrete Adjoint Method for the Sensitivity Analysis of Flexible Multibody Systems

Alfonso Callejo, Valentin Sonneville, Olivier A. Bauchau
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2019, 14(2): 021001.
Paper No: CND-18-1217
https://doi.org/10.1115/1.4041237
Published Online: January 7, 2019
View Article titled, Discrete Adjoint Method for the Sensitivity Analysis of Flexible Multibody Systems
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Topics: Design, Kinematics, Multibody systems, Sensitivity analysis, Tensors, Optimization, Stiffness
Journal Articles

Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate

Andrew S. Wixom, Gage S. Walters, Sheri L. Martinelli, David M. Williams
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2019, 14(2): 021010.
Paper No: CND-18-1243
https://doi.org/10.1115/1.4041772
Published Online: January 7, 2019
View Article titled, Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate
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Topics: Boundary layer turbulence, Chaos, Polynomials, Tensors, Uncertainty, Dimensions, Modeling, Noise (Sound), Statistics
Journal Articles

Fractional Derivative Constitutive Models for Finite Deformation of Viscoelastic Materials

Masataka Fukunaga, Nobuyuki Shimizu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061002.
Paper No: CND-14-1080
https://doi.org/10.1115/1.4028438
Published Online: November 1, 2015
View Article titled, Fractional Derivative Constitutive Models for Finite Deformation of Viscoelastic Materials
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Topics: Constitutive equations, Deformation, Stress, Stress tensors, Tensors, Viscoelastic materials
Journal Articles

A Simple Absolute Nodal Coordinate Formulation for Thin Beams With Large Deformations and Large Rotations

Hui Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061005.
Paper No: CND-14-1095
https://doi.org/10.1115/1.4028610
Published Online: November 1, 2015
View Article titled, A Simple Absolute Nodal Coordinate Formulation for Thin Beams With Large Deformations and Large Rotations
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Topics: Cantilever beams, Cross section (Physics), Deformation, Rotation, Tensors, Dynamics (Mechanics), Shapes, Mode shapes, Potential energy, Polynomials
Journal Articles

ANCF Analysis of Textile Systems

Liang Wang, Yongxing Wang, Antonio M. Recuero, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2016, 11(3): 031005.
Paper No: CND-14-1324
https://doi.org/10.1115/1.4031289
Published Online: October 23, 2015
View Article titled, ANCF Analysis of Textile Systems
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Topics: Constitutive equations, Deformation, Engineering drawing and drafting, Rollers, Textiles, Stress, Algorithms, Density, Elasticity, Fibers
Journal Articles

Fast and Robust Full-Quadrature Triangular Elements for Thin Plates/Shells With Large Deformations and Large Rotations

Hui Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2015, 10(5): 051018.
Paper No: CND-14-1112
https://doi.org/10.1115/1.4030212
Published Online: September 1, 2015
View Article titled, Fast and Robust Full-Quadrature Triangular Elements for Thin Plates/Shells With Large Deformations and Large Rotations
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Topics: Deformation, Membranes, Shells, Plates (structures), Tensors
Journal Articles

Three-Dimensional Beam Theory for Flexible Multibody Dynamics

Olivier A. Bauchau, Shilei Han
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2014, 9(4): 041011.
Paper No: CND-13-1082
https://doi.org/10.1115/1.4025820
Published Online: July 11, 2014
View Article titled, Three-Dimensional Beam Theory for Flexible Multibody Dynamics
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Topics: Deformation, Displacement, Eigenvalues, Elasticity, Euler-Bernoulli beam theory, Kinematics, Multibody dynamics, Stiffness, Stress, Tensors
Journal Articles

A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

Astrid Pechstein, Daniel Reischl, Johannes Gerstmayr
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2013, 8(1): 011019.
Paper No: CND-12-1025
https://doi.org/10.1115/1.4007191
Published Online: August 31, 2012
View Article titled, A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix
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Topics: Deformation, Degrees of freedom, Displacement, Equations of motion, Multibody systems, Rotation, Shapes, Tensors, Stiffness, Mode shapes
Journal Articles

Intrinsic Time Integration Procedures for Rigid Body Dynamics

Olivier A. Bauchau, Hao Xin, Shiyu Dong, Zhiheng Li, Shilei Han
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2013, 8(1): 011006.
Paper No: CND-11-1158
https://doi.org/10.1115/1.4006252
Published Online: June 14, 2012
View Article titled, Intrinsic Time Integration Procedures for Rigid Body Dynamics
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Topics: Kinematics, Rotation, Tensors, Equations of motion, Momentum, Dynamics (Mechanics)
Journal Articles

Tensorial Parameterization of Rotation and Motion

Olivier A. Bauchau, Leihong Li
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031007.
https://doi.org/10.1115/1.4003176
Published Online: February 1, 2011
View Article titled, Tensorial Parameterization of Rotation and Motion
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Topics: Rotation, Tensors, Eigenvalues
Journal Articles

Tensorial Deformation Measures for Flexible Joints

Olivier A. Bauchau, Leihong Li, Pierangelo Masarati, Marco Morandini
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031002.
https://doi.org/10.1115/1.4002517
Published Online: December 15, 2010
View Article titled, Tensorial Deformation Measures for Flexible Joints
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Topics: Deformation, Tensors, Rotation, Stress
Journal Articles

Efficient Treatment of Gyroscopic Bodies in the Recursive Solution of Multibody Dynamics Equations

Martin M. Tong
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2008, 3(4): 041006.
https://doi.org/10.1115/1.2960470
Published Online: August 21, 2008
View Article titled, Efficient Treatment of Gyroscopic Bodies in the Recursive Solution of Multibody Dynamics Equations
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Topics: Composite materials, Computation, Dynamics (Mechanics), Flywheels, Inertia (Mechanics), Multibody dynamics, Space vehicles, Wheels, Rotation, Satellites
Journal Articles

The Hamel Representation: A Diagonalized Poincaré Form

Michael C. Sovinsky, John E. Hurtado, D. Todd Griffith, James D. Turner
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2007, 2(4): 316–323.
https://doi.org/10.1115/1.2756062
Published Online: April 16, 2007
View Article titled, The Hamel Representation: A Diagonalized Poincaré Form
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Topics: Closed kinematic chains, Equations of motion, Simulation, Tensors, Kinetic energy, Matrix algebra, Numerical analysis, Partial differential equations
Journal Articles

New Periodic Orbits for the n -Body Problem

Cristopher Moore, Michael Nauenberg
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2006, 1(4): 307–311.
https://doi.org/10.1115/1.2338323
Published Online: March 15, 2006
View Article titled, New Periodic Orbits for the n -Body Problem
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Topics: Angular momentum, Braid (Textile), Collisions (Physics), Dimensions, Inertia (Mechanics), N-body problem (Celestial mechanics), Scalars, Tensors, Time-varying systems, Trajectories (Physics)