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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

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

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

Journal Articles

A Numerical Algorithm to Capture Spin Patterns of Fractional Bloch Nuclear Magnetic Resonance Flow Models

R. C. Mittal, Sapna Pandit

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081001.

Paper No: CND-18-1153

DOI: https://doi.org/10.1115/1.4043565

Published Online: May 13, 2019

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Topics: Particle spin, Rotation, Spin (Aerodynamics), Wavelets, Flow (Dynamics), Nuclear magnetic resonance

Journal Articles

Modeling Stabilization of Crane-Induced Ship Motion With Gyroscopic Control Using the Moving Frame Method

Josef Flatlandsmo, Torbjørn Smith, Ørjan O. Halvorsen, Thomas J. Impelluso

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031006.

Paper No: CND-18-1318

DOI: https://doi.org/10.1115/1.4042323

Published Online: January 18, 2019

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Topics: Boats, Cranes, Kinematics, Rotation, Ships

Journal Articles

A New Rotation-Free Shell Formulation Using Exact Corotational Frame for Dynamic Analysis and Applications

Jiabei Shi, Zhuyong Liu, Jiazhen Hong

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041006.

Paper No: CND-17-1395

DOI: https://doi.org/10.1115/1.4039129

Published Online: February 27, 2018

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Topics: Deformation, Rotation, Shells, Stiffness, Simulation, Textiles, Membranes, Displacement

Journal Articles

Nonlinear Vibrations of Axially Functionally Graded Timoshenko Tapered Beams

Mergen H. Ghayesh

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041002.

Paper No: CND-17-1279

DOI: https://doi.org/10.1115/1.4039191

Published Online: February 23, 2018

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Topics: Vibration, Frequency response, Rotation, Computer simulation, Resonance, Oscillations, Damping, Bifurcation, Timoshenko beam theory, Stress

Journal Articles

Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions

Yinhuan Zheng, Ahmed A. Shabana, Dayu Zhang

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011013.

Paper No: CND-17-1149

DOI: https://doi.org/10.1115/1.4037226

Published Online: October 31, 2017

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Topics: Finite element analysis, Shear (Mechanics), Rotation, Displacement, Euler-Bernoulli beam theory, Deformation, Continuum mechanics

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Journal citation

NARROW

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

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

Noncommutativity of Finite Rotations and Definitions of Curvature and Torsion

A Numerical Algorithm to Capture Spin Patterns of Fractional Bloch Nuclear Magnetic Resonance Flow Models

Modeling Stabilization of Crane-Induced Ship Motion With Gyroscopic Control Using the Moving Frame Method

A New Rotation-Free Shell Formulation Using Exact Corotational Frame for Dynamic Analysis and Applications

Nonlinear Vibrations of Axially Functionally Graded Timoshenko Tapered Beams

Curvature Expressions for the Large Displacement Analysis of Planar Beam Motions

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