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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

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

J. Comput. Nonlinear Dynam. December 2021, 16(12): 121003.

Paper No: CND-21-1113

DOI: https://doi.org/10.1115/1.4052147

Published Online: September 23, 2021

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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

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

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

R. Wiebe, P. S. Harvey, Jr.

J. Comput. Nonlinear Dynam. September 2019, 14(9): 094502.

Paper No: CND-18-1479

DOI: https://doi.org/10.1115/1.4044145

Published Online: July 15, 2019

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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

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061006.

Paper No: CND-18-1456

DOI: https://doi.org/10.1115/1.4043148

Published Online: April 8, 2019

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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

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041011.

Paper No: CND-18-1367

DOI: https://doi.org/10.1115/1.4042525

Published Online: February 15, 2019

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Topics: Displacement, Finite element analysis, Finite element methods, Simulation, Stress, Tensors, Poisson ratio, Stress tensors, Deformation, Computer simulation

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

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021010.

Paper No: CND-18-1243

DOI: https://doi.org/10.1115/1.4041772

Published Online: January 7, 2019

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Topics: Boundary layer turbulence, Chaos, Polynomials, Tensors, Uncertainty, Dimensions, Modeling, Noise (Sound), Statistics

Journal Articles

Discrete Adjoint Method for the Sensitivity Analysis of Flexible Multibody Systems

Alfonso Callejo, Valentin Sonneville, Olivier A. Bauchau

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021001.

Paper No: CND-18-1217

DOI: https://doi.org/10.1115/1.4041237

Published Online: January 7, 2019

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Topics: Design, Kinematics, Multibody systems, Sensitivity analysis, Tensors, Optimization, Stiffness

Journal Articles

Fractional Derivative Constitutive Models for Finite Deformation of Viscoelastic Materials

Masataka Fukunaga, Nobuyuki Shimizu

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061002.

Paper No: CND-14-1080

DOI: https://doi.org/10.1115/1.4028438

Published Online: November 1, 2015

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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

J. Comput. Nonlinear Dynam. November 2015, 10(6): 061005.

Paper No: CND-14-1095

DOI: https://doi.org/10.1115/1.4028610

Published Online: November 1, 2015

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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

J. Comput. Nonlinear Dynam. May 2016, 11(3): 031005.

Paper No: CND-14-1324

DOI: https://doi.org/10.1115/1.4031289

Published Online: October 23, 2015

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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

J. Comput. Nonlinear Dynam. September 2015, 10(5): 051018.

Paper No: CND-14-1112

DOI: https://doi.org/10.1115/1.4030212

Published Online: September 1, 2015

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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

J. Comput. Nonlinear Dynam. October 2014, 9(4): 041011.

Paper No: CND-13-1082

DOI: https://doi.org/10.1115/1.4025820

Published Online: July 11, 2014

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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

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011019.

Paper No: CND-12-1025

DOI: https://doi.org/10.1115/1.4007191

Published Online: August 31, 2012

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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

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011006.

Paper No: CND-11-1158

DOI: https://doi.org/10.1115/1.4006252

Published Online: June 14, 2012

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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

J. Comput. Nonlinear Dynam. July 2011, 6(3): 031007.

DOI: https://doi.org/10.1115/1.4003176

Published Online: February 1, 2011

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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

J. Comput. Nonlinear Dynam. July 2011, 6(3): 031002.

DOI: https://doi.org/10.1115/1.4002517

Published Online: December 15, 2010

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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

J. Comput. Nonlinear Dynam. October 2008, 3(4): 041006.

DOI: https://doi.org/10.1115/1.2960470

Published Online: August 21, 2008

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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

J. Comput. Nonlinear Dynam. October 2007, 2(4): 316–323.

DOI: https://doi.org/10.1115/1.2756062

Published Online: April 16, 2007

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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

J. Comput. Nonlinear Dynam. October 2006, 1(4): 307–311.

DOI: https://doi.org/10.1115/1.2338323

Published Online: March 15, 2006

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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)

Journal citation

NARROW

The Motion Formalism for Flexible Multibody Systems

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

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

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

Multidimensional Approximation of Nonlinear Dynamical Systems

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

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

Discrete Adjoint Method for the Sensitivity Analysis of Flexible Multibody Systems

Fractional Derivative Constitutive Models for Finite Deformation of Viscoelastic Materials

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

ANCF Analysis of Textile Systems

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

Three-Dimensional Beam Theory for Flexible Multibody Dynamics

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

Intrinsic Time Integration Procedures for Rigid Body Dynamics

Tensorial Parameterization of Rotation and Motion

Tensorial Deformation Measures for Flexible Joints

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

The Hamel Representation: A Diagonalized Poincaré Form

New Periodic Orbits for the n -Body Problem

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