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Journal Articles

Constrained Multibody Kinematics and Dynamics in Absolute Coordinates: a Discussion of Three Approaches to Representing Rigid Body Rotation

Alexandra Kissel, Jay Taves, Dan Negrut

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1033

DOI: https://doi.org/10.1115/1.4055140

Published Online: August 3, 2022

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Topics: Dynamics (Mechanics), Kinematics, Rotation, Radium, Multibody dynamics, Differential algebraic equations, Equations of motion, Simulation

Journal Articles

Subharmonic Resonance of Duffing Oscillator with Dry Friction Under Foundation Excitation

Jiangchuan Niu, Wanjie Zhang, Shaofang Wen, Jianchao Zhang

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1045

DOI: https://doi.org/10.1115/1.4055141

Published Online: August 3, 2022

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Topics: Dry friction, Excitation, Resonance, Coulombs, Friction, Damping, Nonlinear systems, Stability, Steady state, Stiffness

Journal Articles

Nonlinear Energy Sink Inspired Design for Friction Induced Vibration Suppression of Braking Systems

Lisha Zhu, Cong Yuan, Guo Yao, Huanjun Li, Wei Gao

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1093

DOI: https://doi.org/10.1115/1.4055143

Published Online: August 3, 2022

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Topics: Braking, Design, Friction, Vibration suppression, Wheels, Coulombs, Damping, Equations of motion, Kinetic energy, Pressure

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

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1049

DOI: https://doi.org/10.1115/1.4055142

Published Online: August 3, 2022

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Topics: Contact mechanics, Splines, Accuracy and precision, Algorithms, Deformation, Degrees of freedom, Dynamics (Mechanics), Geometry, Kinematics, Multibody systems

Journal Articles

Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems

Thomas Breunung, Balakumar Balachandran

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091008.

Paper No: CND-22-1070

DOI: https://doi.org/10.1115/1.4054932

Published Online: July 28, 2022

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Topics: Approximation, Noise (Sound), Simulation, Probability, Density

Journal Articles

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

Ping Zhou, Hui Ren

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.

Paper No: CND-21-1358

DOI: https://doi.org/10.1115/1.4054801

Published Online: June 22, 2022

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Topics: Constraint equations, Equations of motion, Parametrization, Rotation, Stability, Dynamics (Mechanics), System dynamics, Differential equations

Journal Articles

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.

Paper No: CND-21-1167

DOI: https://doi.org/10.1115/1.4054800

Published Online: June 22, 2022

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Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction

Journal Articles

Simplified Improvement of Higher Order Extended Bulk Flow Analysis Specialized for Derivation of Rotordynamic Coefficients of the Annular Plain Seal With Large Static Eccentricity

T. Inoue, K. Yamada

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101003.

Paper No: CND-21-1191

DOI: https://doi.org/10.1115/1.4054680

Published Online: June 16, 2022

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Topics: Clearances (Engineering), Flow (Dynamics), Fluids, Whirls

Journal Articles

Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Sarvesh Dubey, Ved Prakash Dubey, Jagdev Singh, Ahmed M. Alshehri, Devendra Kumar

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081006.

Paper No: CND-21-1261

DOI: https://doi.org/10.1115/1.4054482

Published Online: June 7, 2022

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Topics: Computer simulation, Fractals, Transonic flow, Approximation

Journal Articles

Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure

Átila M. Bueno, Daniel C. Daltin, Paulo J. A. Serni, José M. Balthazar, Angelo M. Tusset

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091005.

Paper No: CND-21-1237

DOI: https://doi.org/10.1115/1.4054570

Published Online: June 7, 2022

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Topics: Control equipment, Design, Simulation, Signals, Motors, Flexible structures, Tracking control, Damping

Journal Articles

Nonlinear Normal Modes of a Three Degrees-of-Freedom Cyclically Symmetric Piecewise Linear System

Mohit Kumar, Abhijit Sarkar

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101001.

Paper No: CND-21-1312

DOI: https://doi.org/10.1115/1.4054571

Published Online: June 7, 2022

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Topics: Clearances (Engineering), Springs, Linear systems

Includes: Supplementary data

Journal Articles

Extended State Observer-Based Discrete-Time Sliding-Mode Control With Mismatched Disturbances Attenuation

Peng Guo, Limin Zhu, Weiwei Huang, Long Zhang, Nuodi Huang, Yang Zhang

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091007.

Paper No: CND-21-1399

DOI: https://doi.org/10.1115/1.4054572

Published Online: June 7, 2022

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Topics: Control equipment, Design, Errors, State estimation, Steady state, Discrete time systems, Stability

Journal Articles

Adaptive Uncertainty Estimator-Based Sliding Mode Control for a Spherical Robot: Methodology and Verification

Lufeng Zhang, Xuemei Ren, Dongdong Zheng

J. Comput. Nonlinear Dynam. October 2022, 17(10): 101002.

Paper No: CND-21-1379

DOI: https://doi.org/10.1115/1.4054593

Published Online: June 7, 2022

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Topics: Control equipment, Errors, Pendulums, Robots, Sliding mode control, Spherical shells, Uncertainty, Design

Journal Articles

A Nonlinear Dynamic Model of Flywheel Energy Storage Systems Based on Alternative Concept of Back Propagation Neural Networks

Haiting He, Yibing Liu, Liming Ba

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091006.

Paper No: CND-21-1244

DOI: https://doi.org/10.1115/1.4054681

Published Online: June 7, 2022

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Topics: Artificial neural networks, Energy storage, Flywheels, Rotors, Stress, Torque, Winding (process), Rotation, Motors, Permanent magnets

Journal Articles

Representing and Computing the B-Derivative of the Piecewise-Differentiable Flow of a Class of Nonsmooth Vector Fields

George Council, Shai Revzen, Samuel A. Burden

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091004.

Paper No: CND-21-1103

DOI: https://doi.org/10.1115/1.4054481

Published Online: June 3, 2022

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Topics: Flow (Dynamics), Algorithms

Journal Articles

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071008.

Paper No: CND-21-1353

DOI: https://doi.org/10.1115/1.4054483

Published Online: May 24, 2022

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Topics: Chemical reactions, Errors, Flow (Dynamics), Mixed convection, Partial differential equations, Plates (structures), Stability, Diffusion (Physics), Convection, Scalars

Journal Articles

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

Muhammad Farman, Muhammad Aslam, Ali Akgül, Fahd Jarad

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071007.

Paper No: CND-21-1148

DOI: https://doi.org/10.1115/1.4054347

Published Online: May 18, 2022

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Topics: Chemistry, Differential equations, Fractals

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

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

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Susheelkumar C. Subramanian, Sangram Redkar

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091002.

Paper No: CND-22-1028

DOI: https://doi.org/10.1115/1.4054349

Published Online: May 10, 2022

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Topics: Manifolds, Errors, Computation

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Supplemental Material

Manuscript

Constrained Multibody Kinematics and Dynamics in Absolute Coordinates: a Discussion of Three Approaches to Representing Rigid Body Rotation

Subharmonic Resonance of Duffing Oscillator with Dry Friction Under Foundation Excitation

Nonlinear Energy Sink Inspired Design for Friction Induced Vibration Suppression of Braking Systems

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

Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems

Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

Simplified Improvement of Higher Order Extended Bulk Flow Analysis Specialized for Derivation of Rotordynamic Coefficients of the Annular Plain Seal With Large Static Eccentricity

Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure

Nonlinear Normal Modes of a Three Degrees-of-Freedom Cyclically Symmetric Piecewise Linear System

Extended State Observer-Based Discrete-Time Sliding-Mode Control With Mismatched Disturbances Attenuation

Adaptive Uncertainty Estimator-Based Sliding Mode Control for a Spherical Robot: Methodology and Verification

A Nonlinear Dynamic Model of Flywheel Energy Storage Systems Based on Alternative Concept of Back Propagation Neural Networks

Representing and Computing the B-Derivative of the Piecewise-Differentiable Flow of a Class of Nonsmooth Vector Fields

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

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

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

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

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