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Journal Articles

A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

V. P. Premchand, Bipin Balaram, M. D. Narayanan, A. S. Sajith

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091003.

Paper No: CND-22-1025

DOI: https://doi.org/10.1115/1.4054456

Published Online: May 18, 2022

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Topics: Algebra, Algorithms, Design, Energy budget (Physics), Stability, Nonlinear vibration, Vibration absorbers, Optimization, Errors, Bifurcation

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

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Muhammad Bilal Riaz, Adil Jhangeer, Jan Awrejcewicz, Dumitru Baleanu, Sana Tahir

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031002.

Paper No: CND-21-1067

DOI: https://doi.org/10.1115/1.4052876

Published Online: December 6, 2021

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Topics: Algebra, Optical fiber, Solitons

Journal Articles

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Jorge L. Suzuki, Ehsan Kharazmi, Pegah Varghaei, Maryam Naghibolhosseini, Mohsen Zayernouri

J. Comput. Nonlinear Dynam. November 2021, 16(11): 111005.

Paper No: CND-20-1412

DOI: https://doi.org/10.1115/1.4052286

Published Online: September 22, 2021

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Topics: Approximation, Cantilever beams, Dynamics (Mechanics), Equations of motion, Excitation, Free vibrations, Hamilton's principle, Nonlinear dynamics, Nonlinear systems, Relaxation (Physics)

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

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.

Paper No: CND-19-1329

DOI: https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

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Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)

Journal Articles

Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

T. Meyer, P. Li, B. Schweizer

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021006.

Paper No: CND-19-1175

DOI: https://doi.org/10.1115/1.4045505

Published Online: December 19, 2019

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Topics: Algebra, Equations of motion, Errors, Pendulums, Stability, Simulation results, Simulation, Dimensions, Algorithms, Displacement

Journal Articles

Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

Guoqi Zhang, Zhiqiang Wu, Yuancen Wang

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021004.

Paper No: CND-19-1057

DOI: https://doi.org/10.1115/1.4045631

Published Online: December 19, 2019

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Topics: Approximation, Cylinders, Limit cycles, Vortex-induced vibration, Time series, Fluids, Errors, Algebra

Journal Articles

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

Majid Gazor, Mahsa Kazemi

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011001.

Paper No: CND-18-1510

DOI: https://doi.org/10.1115/1.4045286

Published Online: November 11, 2019

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Topics: Bifurcation, Scalars, Algebra, Computation, Geometry

Journal Articles

Variable Impedance Control of Powered Knee Prostheses Using Human-Inspired Algebraic Curves

Alireza Mohammadi, Robert D. Gregg

J. Comput. Nonlinear Dynam. October 2019, 14(10): 101007.

Paper No: CND-18-1443

DOI: https://doi.org/10.1115/1.4043002

Published Online: September 9, 2019

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Topics: Algebra, Knee, Algorithms, Design

Journal Articles

Sensitivity Analysis for Hybrid Systems and Systems With Memory

Radu Serban, Antonio Recuero

J. Comput. Nonlinear Dynam. September 2019, 14(9): 091006.

Paper No: CND-19-1133

DOI: https://doi.org/10.1115/1.4044028

Published Online: July 15, 2019

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Topics: Algebra, Sensitivity analysis, Dynamics (Mechanics), Computational mechanics, Differential equations

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

A New Cluster-Based Harmonic Balance Aided Optimization Procedure With Application to Nonlinear Vibration Absorbers

V. P. Premchand, M. D. Narayanan, A. S. Sajith

J. Comput. Nonlinear Dynam. July 2019, 14(7): 071007.

Paper No: CND-18-1429

DOI: https://doi.org/10.1115/1.4043527

Published Online: May 13, 2019

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Topics: Algebra, Algorithms, Design, Differential equations, Energy budget (Physics), Errors, Optimization, Nonlinear vibration, Computation

Journal Articles

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Ben Muatjetjeja, Tshepo E. Mogorosi

J. Comput. Nonlinear Dynam. December 2018, 13(12): 121002.

Paper No: CND-18-1162

DOI: https://doi.org/10.1115/1.4041417

Published Online: October 15, 2018

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Topics: Generators, Variational principles, Algebra, Theorems (Mathematics)

Journal Articles

An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations

N. Jibenja, B. Yuttanan, M. Razzaghi

J. Comput. Nonlinear Dynam. November 2018, 13(11): 111003.

Paper No: CND-17-1454

DOI: https://doi.org/10.1115/1.4040951

Published Online: August 27, 2018

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Topics: Approximation, Differential equations, Errors, Numerical analysis, Polynomials, Algebra

Journal Articles

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

S. Mahmoudkhani

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041005.

Paper No: CND-17-1490

DOI: https://doi.org/10.1115/1.4039192

Published Online: February 26, 2018

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Topics: Algebra, Approximation, Computation, Degrees of freedom, Equations of motion, Manifolds, Pipes, Resonance, Standing waves, Traveling waves

Journal Articles

New Operational Matrix for Solving Multiterm Variable Order Fractional Differential Equations

A. M. Nagy, N. H. Sweilam, Adel A. El-Sayed

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011001.

Paper No: CND-16-1450

DOI: https://doi.org/10.1115/1.4037922

Published Online: October 9, 2017

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Topics: Differential equations, Errors, Polynomials, Algebra

Journal Articles

Numerical Simulation and Convergence Analysis of Fractional Optimization Problems With Right-Sided Caputo Fractional Derivative

Samer S. Ezz-Eldien, Ahmed A. El-Kalaawy

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011010.

Paper No: CND-17-1146

DOI: https://doi.org/10.1115/1.4037597

Published Online: October 9, 2017

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Topics: Computer simulation, Errors, Optimal control, Optimization, Polynomials, Algebra, Theorems (Mathematics), Algorithms, Approximation

Journal Articles

Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation—Illustrated by Duffing Oscillator

R. J. Chang

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051030.

Paper No: CND-17-1138

DOI: https://doi.org/10.1115/1.4037105

Published Online: July 12, 2017

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Topics: Density, Excitation, Noise (Sound), White noise, Algebra, Simulation

Journal Articles

A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems

R. Ju, W. Fan, W. D. Zhu, J. L. Huang

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051007.

Paper No: CND-16-1578

DOI: https://doi.org/10.1115/1.4036118

Published Online: April 18, 2017

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Topics: Algebra, Excitation, Fourier series, Fourier transforms, Frequency response, Jacobian matrices, Nonlinear dynamical systems, Nonlinear systems, Runge-Kutta methods, Steady state

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Journal citation

NARROW

A Cluster Based Algorithm Coupled With Shooting Method for Estimation of Parametric Clusters Yielding Optimal Stable Periodic Solutions in Nonlinear Vibrating Systems

Singularity-Free Lie Group Integration and Geometrically Consistent Evaluation of Multibody System Models Described in Terms of Standard Absolute Coordinates

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems

Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder

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

Variable Impedance Control of Powered Knee Prostheses Using Human-Inspired Algebraic Curves

Sensitivity Analysis for Hybrid Systems and Systems With Memory

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

A New Cluster-Based Harmonic Balance Aided Optimization Procedure With Application to Nonlinear Vibration Absorbers

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

New Operational Matrix for Solving Multiterm Variable Order Fractional Differential Equations

Numerical Simulation and Convergence Analysis of Fractional Optimization Problems With Right-Sided Caputo Fractional Derivative

Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation—Illustrated by Duffing Oscillator

A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems

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