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Journal Articles

An Overview of Higher-Order Beam Elements Based on the Absolute Nodal Coordinate Formulation

Tengfei Wang, Aki Mikkola, Marko K. Matikainen

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091001.

Paper No: CND-22-1024

DOI: https://doi.org/10.1115/1.4054348

Published Online: May 10, 2022

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Topics: Interpolation, Shapes

Journal Articles

Efficient Path Integration of Nonlinear Oscillators Subject to Combined Random and Harmonic Excitation

Wei-Che Tai

J. Comput. Nonlinear Dynam. June 2022, 17(6): 061005.

Paper No: CND-21-1342

DOI: https://doi.org/10.1115/1.4053936

Published Online: March 14, 2022

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Topics: Density, Probability, Interpolation, Excitation, Fourier series, Simulation

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

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Rajarama Mohan Jena, Snehashish Chakraverty

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021001.

Paper No: CND-21-1192

DOI: https://doi.org/10.1115/1.4052788

Published Online: November 17, 2021

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Topics: Differential equations, Interpolation, Polynomials, Springs, Stability, Error analysis

Journal Articles

A Block Matrix-Based Precise Integration Algorithm for Solving Nonhomogeneous Dynamic Response

Chao Zhang, Mingxiang Ling, Meng Tao

J. Comput. Nonlinear Dynam. January 2022, 17(1): 011005.

Paper No: CND-21-1115

DOI: https://doi.org/10.1115/1.4052651

Published Online: November 9, 2021

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Topics: Algorithms, Computation, Degrees of freedom, Dynamic response, Dynamic systems, Excitation, Interpolation, Errors, Oscillations, 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

Optimization of Energy Harvesting From Stall-Induced Oscillations Using the Multidimensional Kriging Metamodel

Carlos R. dos Santos, Maíra M. da Silva, Flávio D. Marques

J. Comput. Nonlinear Dynam. July 2019, 14(7): 071008.

Paper No: CND-18-1490

DOI: https://doi.org/10.1115/1.4043451

Published Online: May 13, 2019

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Topics: Airfoils, Energy harvesting, Optimization, Oscillations, Wind velocity, Databases, Interpolation, Generators

Journal Articles

Numerical Treatment of Nonlinear Stochastic Itô–Volterra Integral Equations by Piecewise Spectral-Collocation Method

Fakhrodin Mohammadi

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031007.

Paper No: CND-18-1449

DOI: https://doi.org/10.1115/1.4042440

Published Online: January 22, 2019

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Topics: Errors, Integral equations, Interpolation, Polynomials, Volterra equations, Approximation

Journal Articles

Radial Basis Functions Update of Digital Models on Actual Manufactured Shapes

Marco Evangelos Biancolini, Ubaldo Cella

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021013.

Paper No: CND-18-1299

DOI: https://doi.org/10.1115/1.4041680

Published Online: January 7, 2019

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Topics: Computer-aided design, Computer-aided engineering, Design, Geometry, Shapes, Wings, Workflow, Interpolation, Metrology

Journal Articles

The Discrete Adjoint Gradient Computation for Optimization Problems in Multibody Dynamics

Thomas Lauß, Stefan Oberpeilsteiner, Wolfgang Steiner, Karin Nachbagauer

J. Comput. Nonlinear Dynam. May 2017, 12(3): 031016.

Paper No: CND-16-1336

DOI: https://doi.org/10.1115/1.4035197

Published Online: December 5, 2016

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Topics: Computation, Equations of motion, Interpolation, Multibody dynamics, Multibody systems, Optimization, Trajectories (Physics), Robots, Algorithms, Signals

Journal Articles

A New Singularity-Free Formulation of a Three-Dimensional Euler–Bernoulli Beam Using Euler Parameters

W. Fan, W. D. Zhu, H. Ren

J. Comput. Nonlinear Dynam. July 2016, 11(4): 041013.

Paper No: CND-15-1217

DOI: https://doi.org/10.1115/1.4031769

Published Online: January 4, 2016

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Topics: Cantilever beams, Deformation, Equilibrium (Physics), Kinematics, Mode shapes, Stiffness, Interpolation, Finite element methods

Journal Articles

ANCF Consistent Rotation-Based Finite Element Formulation

Ahmed A. Shabana

J. Comput. Nonlinear Dynam. January 2016, 11(1): 014502.

Paper No: CND-15-1203

DOI: https://doi.org/10.1115/1.4031292

Published Online: September 14, 2015

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Topics: Deformation, Finite element analysis, Geometry, Interpolation, Rotation, Shear (Mechanics), Continuum mechanics, Dynamics (Mechanics), Computational geometry, Redundancy (Engineering)

Journal Articles

Definition of ANCF Finite Elements

Ahmed A. Shabana

J. Comput. Nonlinear Dynam. September 2015, 10(5): 054506.

Paper No: CND-15-1069

DOI: https://doi.org/10.1115/1.4030369

Published Online: September 1, 2015

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Topics: Displacement, Finite element analysis, Computer-aided design, Rotation, Interpolation

Journal Articles

Barycentric Rational Interpolation Iteration Collocation Method for Solving Nonlinear Vibration Problems

Jian Jiang, Zhao-Qing Wang, Jian-Hua Wang, Bing-Tao Tang

J. Comput. Nonlinear Dynam. March 2016, 11(2): 021001.

Paper No: CND-13-1250

DOI: https://doi.org/10.1115/1.4030979

Published Online: August 26, 2015

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Topics: Interpolation, Nonlinear vibration

Journal Articles

Composed Fluid–Structure Interaction Interface for Horizontal Axis Wind Turbine Rotor

Dubravko Matijašević, Zdravko Terze, Milan Vrdoljak

J. Comput. Nonlinear Dynam. July 2015, 10(4): 041009.

Paper No: CND-14-1044

DOI: https://doi.org/10.1115/1.4029749

Published Online: July 1, 2015

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Topics: Blades, Displacement, Finite element methods, Fluid structure interaction, Fluids, Stress, Interpolation, Rotors, Horizontal axis wind turbines

Journal Articles

Use of ANCF Surface Geometry in the Rigid Body Contact Problems: Application to Railroad Vehicle Dynamics

Martin B. Hamper, Cheng Wei, Ahmed A. Shabana

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021008.

Paper No: CND-13-1241

DOI: https://doi.org/10.1115/1.4027442

Published Online: March 1, 2015

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Topics: Contact mechanics, Geometry, Interpolation, Railroads, Rails, Simulation, Shapes, Vehicles, Vehicle dynamics

Journal Articles

Parametric Flexible Multibody Model for Material Removal During Turning

Achim Fischer, Peter Eberhard, Jorge Ambrósio

J. Comput. Nonlinear Dynam. January 2014, 9(1): 011007.

Paper No: CND-13-1003

DOI: https://doi.org/10.1115/1.4025283

Published Online: October 9, 2013

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Topics: Cycles, Cylinders, Dynamics (Mechanics), Eigenvalues, Interpolation, Machining, Shapes, Stability, Turning, Vibration

Journal Articles

Use of B-Spline in the Finite Element Analysis: Comparison With ANCF Geometry

Ahmed A. Shabana, Ashraf M. Hamed, Abdel - Nasser A. Mohamed, Paramsothy Jayakumar, Michael D. Letherwood

J. Comput. Nonlinear Dynam. January 2012, 7(1): 011008.

DOI: https://doi.org/10.1115/1.4004377

Published Online: September 6, 2011

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Topics: B-splines, Chain, Deformation, Finite element analysis, Geometry, Belts, Polynomials, Interpolation, Rotation

Journal Articles

Analysis of Wheel/Rail Contact Geometry on Railroad Turnout Using Longitudinal Interpolation of Rail Profiles

Hiroyuki Sugiyama, Yoshimitsu Tanii, Ryosuke Matsumura

J. Comput. Nonlinear Dynam. April 2011, 6(2): 024501.

DOI: https://doi.org/10.1115/1.4002342

Published Online: October 20, 2010

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Topics: Interpolation, Rails, Wheels, Geometry, Wheelsets

Journal Articles

Uniqueness of the Geometric Representation in Large Rotation Finite Element Formulations

Ahmed A. Shabana

J. Comput. Nonlinear Dynam. October 2010, 5(4): 044501.

DOI: https://doi.org/10.1115/1.4001909

Published Online: July 28, 2010

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Topics: Finite element analysis, Interpolation, Rotation, Kinematics, B-splines, Computational geometry, Displacement, Deformation

Journal citation

NARROW

An Overview of Higher-Order Beam Elements Based on the Absolute Nodal Coordinate Formulation

Efficient Path Integration of Nonlinear Oscillators Subject to Combined Random and Harmonic Excitation

The Motion Formalism for Flexible Multibody Systems

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

A Block Matrix-Based Precise Integration Algorithm for Solving Nonhomogeneous Dynamic Response

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

Optimization of Energy Harvesting From Stall-Induced Oscillations Using the Multidimensional Kriging Metamodel

Numerical Treatment of Nonlinear Stochastic Itô–Volterra Integral Equations by Piecewise Spectral-Collocation Method

Radial Basis Functions Update of Digital Models on Actual Manufactured Shapes

The Discrete Adjoint Gradient Computation for Optimization Problems in Multibody Dynamics

A New Singularity-Free Formulation of a Three-Dimensional Euler–Bernoulli Beam Using Euler Parameters

ANCF Consistent Rotation-Based Finite Element Formulation

Definition of ANCF Finite Elements

Barycentric Rational Interpolation Iteration Collocation Method for Solving Nonlinear Vibration Problems

Composed Fluid–Structure Interaction Interface for Horizontal Axis Wind Turbine Rotor

Use of ANCF Surface Geometry in the Rigid Body Contact Problems: Application to Railroad Vehicle Dynamics

Parametric Flexible Multibody Model for Material Removal During Turning

Use of B-Spline in the Finite Element Analysis: Comparison With ANCF Geometry

Analysis of Wheel/Rail Contact Geometry on Railroad Turnout Using Longitudinal Interpolation of Rail Profiles

Uniqueness of the Geometric Representation in Large Rotation Finite Element Formulations

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