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Journal Articles

On Practical Aspects of Variational Consistency in Contact Dynamics

Antonio Recuero, Alexander Lindsay
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081003.
Paper No: CND-22-1257
https://doi.org/10.1115/1.4056589
Published Online: May 4, 2023
View Article titled, On Practical Aspects of Variational Consistency in Contact Dynamics
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Topics: Mortar, Simulation, Contact mechanics, Finite element analysis, Contact dynamics, Pressure, Geometry, Deformation
Journal Articles

Constrained Large-Displacement Thermal Analysis

Ahmed A. Shabana, Mahmoud Elbakly, Dayu Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021002.
Paper No: CND-22-1202
https://doi.org/10.1115/1.4056182
Published Online: December 12, 2022
View Article titled, Constrained Large-Displacement Thermal Analysis
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Topics: Displacement, Geometry, Stress, Thermal analysis, Thermal expansion, Thermal loads, Deformation, Temperature, Finite element analysis
Journal Articles

Fast and Stable Iterative Algorithm for Searching Wheel–Rail Contact Point Based on Geometry Constraint Equations

Jianbin Wang, Chunyuan Song, Dafu Zhang, Dadi Li, Sheng Qu
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011004.
Paper No: CND-22-1164
https://doi.org/10.1115/1.4056134
Published Online: November 17, 2022
View Article titled, Fast and Stable Iterative Algorithm for Searching Wheel–Rail Contact Point Based on Geometry Constraint Equations
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Topics: Constraint equations, Rails, Wheels, Geometry, B-splines, Algorithms, Fractals, Wheelsets
Journal Articles

Local Mesh Refinement and Coarsening Based on Analysis-Suitable T-Splines Surface and Its Application in Contact Problem

Yue Wang, Zuqing Yu, Peng Lan, Nianli Lu
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101007.
Paper No: CND-22-1049
https://doi.org/10.1115/1.4055142
Published Online: August 18, 2022
View Article titled, Local Mesh Refinement and Coarsening Based on Analysis-Suitable T-Splines Surface and Its Application in Contact Problem
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Topics: Algorithms, Contact mechanics, Splines, Stress, Geometry
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
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

Deployment Dynamics of Miura Origami Sheets

Yutong Xia, Narayanan Kidambi, Evgueni Filipov, K. W. Wang
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2022, 17(7): 071005.
Paper No: CND-21-1276
https://doi.org/10.1115/1.4054109
Published Online: April 1, 2022
View Article titled, Deployment Dynamics of Miura Origami Sheets
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Topics: Dynamics (Mechanics), Kinematics, Stiffness, Geometry, Inertia (Mechanics), Deformation
Journal Articles

Convergence Characteristics of Geometrically Accurate Spatial Finite Elements

Brian Tinsley, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2021, 16(1): 011006.
Paper No: CND-20-1304
https://doi.org/10.1115/1.4048731
Published Online: November 11, 2020
View Article titled, Convergence Characteristics of Geometrically Accurate Spatial Finite Elements
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Topics: Displacement, Finite element analysis, Geometry, Rotation, Shapes, Stiffness, Inertia (Mechanics), Eigenvalues, Errors, Continuum mechanics
Journal Articles

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Harry Dankowicz, Yuqing Wang, Frank Schilder, Michael E. Henderson
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051002.
Paper No: CND-19-1390
https://doi.org/10.1115/1.4046498
Published Online: March 18, 2020
View Article titled, Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems
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Topics: Boundary-value problems, Manifolds, Dynamic systems, Space, Geometry
Journal Articles

Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps

Majid Gazor, Mahsa Kazemi
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011001.
Paper No: CND-18-1510
https://doi.org/10.1115/1.4045286
Published Online: November 11, 2019
View Article titled, Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps
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Topics: Bifurcation, Scalars, Algebra, Computation, Geometry
Journal Articles

Development of Geometrically Accurate Continuum-Based Tire Models for Virtual Testing

Emanuele Grossi, Chintan J. Desai, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2019, 14(12): 121006.
Paper No: CND-19-1233
https://doi.org/10.1115/1.4044679
Published Online: October 7, 2019
View Article titled, Development of Geometrically Accurate Continuum-Based Tire Models for Virtual Testing
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Topics: Tires, Geometry
Journal Articles

Computational Modeling of Inertial Effects on Electromechanics of the Heart

Ovais A. Jaffery, Imran Akhtar, S. M. Imran Majeed, Tahir Zaidi
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2019, 14(10): 101006.
Paper No: CND-18-1441
https://doi.org/10.1115/1.4043891
Published Online: September 9, 2019
View Article titled, Computational Modeling of Inertial Effects on Electromechanics of the Heart
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Topics: Biological tissues, Boundary-value problems, Cardiac cycle, Computer simulation, Deformation, Fibers, Myocardium, Physiology, Pressure, Inertia (Mechanics)
Journal Articles

Noncommutativity of Finite Rotations and Definitions of Curvature and Torsion

Ahmed A. Shabana, Hao Ling
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2019, 14(9): 091005.
Paper No: CND-19-1073
https://doi.org/10.1115/1.4043726
Published Online: July 15, 2019
View Article titled, Noncommutativity of Finite Rotations and Definitions of Curvature and Torsion
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Topics: Rotation, Torsion, Geometry, Deformation
Journal Articles

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Klaus Röbenack, Rick Voßwinkel, Hendrik Richter
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2019, 14(7): 074502.
Paper No: CND-18-1506
https://doi.org/10.1115/1.4043380
Published Online: May 13, 2019
View Article titled, Calculating Positive Invariant Sets: A Quantifier Elimination Approach
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Topics: Algebra, Attractors, Geometry, Polynomials
Journal Articles

Radial Basis Functions Update of Digital Models on Actual Manufactured Shapes

Marco Evangelos Biancolini, Ubaldo Cella
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2019, 14(2): 021013.
Paper No: CND-18-1299
https://doi.org/10.1115/1.4041680
Published Online: January 7, 2019
View Article titled, Radial Basis Functions Update of Digital Models on Actual Manufactured Shapes
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Topics: Computer-aided design, Computer-aided engineering, Design, Geometry, Shapes, Wings, Workflow, Interpolation, Metrology
Journal Articles

Nonlinear Vibrations of Axially Functionally Graded Timoshenko Tapered Beams

Mergen H. Ghayesh
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2018, 13(4): 041002.
Paper No: CND-17-1279
https://doi.org/10.1115/1.4039191
Published Online: February 23, 2018
View Article titled, Nonlinear Vibrations of Axially Functionally Graded Timoshenko Tapered Beams
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Topics: Vibration, Frequency response, Rotation, Computer simulation, Resonance, Oscillations, Damping, Bifurcation, Timoshenko beam theory, Stress
Journal Articles

A New ANCF/CRBF Fully Parameterized Plate Finite Element

Carmine M. Pappalardo, Michael Wallin, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031008.
Paper No: CND-16-1176
https://doi.org/10.1115/1.4034492
Published Online: December 5, 2016
View Article titled, A New ANCF/CRBF Fully Parameterized Plate Finite Element
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Topics: Displacement, Finite element analysis, Geometry, Kinematics, Pendulums, Rotation, Tires, Shells, Deformation, Shapes
Journal Articles

A Geometrically Exact Contact Model for Polytopes in Multirigid-Body Simulation

Jedediyah Williams, Ying Lu, J. C. Trinkle
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2017, 12(2): 021001.
Paper No: CND-15-1003
https://doi.org/10.1115/1.4034390
Published Online: December 2, 2016
View Article titled, A Geometrically Exact Contact Model for Polytopes in Multirigid-Body Simulation
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Topics: Simulation, Geometry, Relaxation (Physics)
Journal Articles

Rational ANCF Thin Plate Finite Element

Carmine M. Pappalardo, Zuqing Yu, Xiaoshun Zhang, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051009.
Paper No: CND-15-1252
https://doi.org/10.1115/1.4032385
Published Online: February 3, 2016
View Article titled, Rational ANCF Thin Plate Finite Element
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Topics: Finite element analysis, Geometry, Shapes, Tires, Algebra, Polynomials
Journal Articles

Integration of Geometry and Analysis for Vehicle System Applications: Continuum-Based Leaf Spring and Tire Assembly

Zuqing Yu, Yiguan Liu, Brian Tinsley, Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2016, 11(3): 031011.
Paper No: CND-15-1093
https://doi.org/10.1115/1.4031151
Published Online: October 23, 2015
View Article titled, Integration of Geometry and Analysis for Vehicle System Applications: Continuum-Based Leaf Spring and Tire Assembly
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Topics: Springs, Vehicles, Manufacturing, Tires, Geometry
Journal Articles

ANCF Consistent Rotation-Based Finite Element Formulation

Ahmed A. Shabana
Journal: Journal of Computational and Nonlinear Dynamics
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2016, 11(1): 014502.
Paper No: CND-15-1203
https://doi.org/10.1115/1.4031292
Published Online: September 14, 2015
View Article titled, ANCF Consistent Rotation-Based Finite Element Formulation
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Topics: Deformation, Finite element analysis, Geometry, Interpolation, Rotation, Shear (Mechanics), Continuum mechanics, Dynamics (Mechanics), Computational geometry, Redundancy (Engineering)