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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

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Hang Yang, Alex Gorodetsky, Yuji Fujii, K. W. Wang

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051012.

Paper No: CND-21-1307

DOI: https://doi.org/10.1115/1.4053559

Published Online: March 15, 2022

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Topics: Chaos, Polynomials, Propulsion systems, Simulation, Torque, Uncertainty quantification, Engineering simulation, Uncertainty, Vehicles

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

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Premjit Saha, Tarunraj Singh, Gary Dargush

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.

Paper No: CND-21-1099

DOI: https://doi.org/10.1115/1.4051821

Published Online: August 11, 2021

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Topics: Chaos, Differential algebraic equations, Polynomials, Pendulums, Algebra, Circuits, Uncertainty quantification

Journal Articles

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Mine Aylin Bayrak, Ali Demir

J. Comput. Nonlinear Dynam. August 2021, 16(8): 081001.

Paper No: CND-20-1133

DOI: https://doi.org/10.1115/1.4051284

Published Online: June 16, 2021

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Topics: Differential equations, Polynomials, Schrödinger equation

Journal Articles

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Haile Habenom, D. L. Suthar, D. Baleanu, S. D. Purohit

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011004.

Paper No: CND-20-1199

DOI: https://doi.org/10.1115/1.4048475

Published Online: October 29, 2020

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Topics: Computer simulation, Differential equations, Diseases, Dynamics (Mechanics), Equilibrium (Physics), Polynomials, Stability, Nonlinear equations, Mathematical analysis, Matlab

Journal Articles

Energy Harvesting for System of Coupled Oscillators Under External Excitation in the Vicinity of Resonance 1:1

Leonardo Acho Zuppa, Jan Awrejcewicz, Nataliya Losyeva, Volodymyr Puzyrov, Nina Savchenko

J. Comput. Nonlinear Dynam. December 2020, 15(12): 121005.

Paper No: CND-20-1092

DOI: https://doi.org/10.1115/1.4047555

Published Online: October 23, 2020

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Topics: Energy harvesting, Excitation, Oscillations, Polynomials, Resonance, Vibration, Damping, Degrees of freedom, Vibration absorbers, Optimization

Journal Articles

Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

Evangelia Nicolaidou, Venkata R. Melanthuru, Thomas L. Hill, Simon A. Neild

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071002.

Paper No: CND-19-1396

DOI: https://doi.org/10.1115/1.4046897

Published Online: April 29, 2020

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Topics: Accounting, Computer software, Displacement, Dynamics (Mechanics), Equations of motion, Errors, Finite element model, Harmonic oscillators, Modeling, Robustness

Journal Articles

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu

J. Comput. Nonlinear Dynam. June 2020, 15(6): 061005.

Paper No: CND-19-1288

DOI: https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

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Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis

Journal Articles

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Ali Lotfi

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021001.

Paper No: CND-18-1348

DOI: https://doi.org/10.1115/1.4045504

Published Online: December 11, 2019

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Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation

Journal Articles

Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work

Paul S. Ryan, Sarah C. Baxter, Philip A. Voglewede

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011004.

Paper No: CND-19-1194

DOI: https://doi.org/10.1115/1.4045239

Published Online: November 11, 2019

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Topics: Equations of motion, Polynomials, Uncertainty, Chaos theory, Springs, Dampers, Algorithms

Journal Articles

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Klaus Röbenack, Rick Voßwinkel, Hendrik Richter

J. Comput. Nonlinear Dynam. July 2019, 14(7): 074502.

Paper No: CND-18-1506

DOI: https://doi.org/10.1115/1.4043380

Published Online: May 13, 2019

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Topics: Algebra, Attractors, Geometry, Polynomials

Journal Articles

Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

Hossein Hassani, Zakieh Avazzadeh, José António Tenreiro Machado

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061001.

Paper No: CND-18-1182

DOI: https://doi.org/10.1115/1.4042997

Published Online: April 8, 2019

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Topics: Optimal control, Optimization, Polynomials, Approximation, Dynamic systems

Journal Articles

On the Development of Incomplete Cubic Tetrahedral Element Based on the Absolute Nodal Coordinate Formulation

Tengfei Wang, Zuqing Yu, Peng Lan

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041001.

Paper No: CND-18-1055

DOI: https://doi.org/10.1115/1.4041416

Published Online: February 6, 2019

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Topics: Polynomials, Deformation, Dynamic analysis, Cantilever beams

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

Special Issue: Sensitivity Analysis and Uncertainty Quantification

Radu Serban, Yan Wang, Kyung K. Choi, Paramsothy Jayakumar

J. Comput. Nonlinear Dynam. February 2019, 14(2): 020301.

Paper No: CND-18-1542

DOI: https://doi.org/10.1115/1.4042262

Published Online: January 7, 2019

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Topics: Optimization, Sensitivity analysis, Uncertainty, Uncertainty quantification, Chaos, Polynomials, Simulation, Design, Modeling

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

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

Souransu Nandi, Tarunraj Singh

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021003.

Paper No: CND-18-1238

DOI: https://doi.org/10.1115/1.4041622

Published Online: January 7, 2019

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Topics: Chaos, Linear systems, Noise (Sound), Polynomials, Uncertainty, Sensitivity analysis, Stochastic systems

Journal Articles

Uncertainty Quantification Using Generalized Polynomial Chaos Expansion for Nonlinear Dynamical Systems With Mixed State and Parameter Uncertainties

Rajnish Bhusal, Kamesh Subbarao

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021011.

Paper No: CND-18-1245

DOI: https://doi.org/10.1115/1.4041473

Published Online: January 7, 2019

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Topics: Chaos, Polynomials, Uncertainty, Statistical distributions, Nonlinear dynamical systems

Journal Articles

Multiple Dynamic Response Patterns of Flexible Multibody Systems With Random Uncertain Parameters

Zhe Wang, Qiang Tian, Haiyan Hu

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021008.

Paper No: CND-18-1231

DOI: https://doi.org/10.1115/1.4041580

Published Online: January 7, 2019

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Topics: Computation, Dynamic response, Dynamics (Mechanics), Multibody systems, Polynomials, Algorithms, Robots, Chaos, Displacement

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Journal citation

NARROW

Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

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

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Energy Harvesting for System of Coupled Oscillators Under External Excitation in the Vicinity of Resonance 1:1

Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

On the Development of Incomplete Cubic Tetrahedral Element Based on the Absolute Nodal Coordinate Formulation

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

Special Issue: Sensitivity Analysis and Uncertainty Quantification

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

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

Uncertainty Quantification Using Generalized Polynomial Chaos Expansion for Nonlinear Dynamical Systems With Mixed State and Parameter Uncertainties

Multiple Dynamic Response Patterns of Flexible Multibody Systems With Random Uncertain Parameters

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