Volume 12 Issue 5 | J. Comput. Nonlinear Dynam.

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Volume 12, Issue 5

September 2017

ISSN 1555-1415

EISSN 1555-1423

Research Papers

Vibrations of a Simply Supported Cross Flow Heat Exchanger Tube With Axial Load and Loose Supports

Anwar Sadath, V. Vinu, C. P. Vyasarayani

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051001. doi: https://doi.org/10.1115/1.4035880

Abstract

View articletitled, Vibrations of a Simply Supported Cross Flow Heat Exchanger Tube With Axial Load and Loose Supports

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Topics: Bifurcation , Flow (Dynamics) , Heat exchangers , Stability , Stress , Vibration , Fluids , Cross-flow , Buckling , Flutter (Aerodynamics)

Resonance Responses of Geometrically Imperfect Functionally Graded Extensible Microbeams

Mergen H. Ghayesh, Hamed Farokhi, Alireza Gholipour, Shahid Hussain, Maziar Arjomandi

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051002. doi: https://doi.org/10.1115/1.4035214

Abstract

View articletitled, Resonance Responses of Geometrically Imperfect Functionally Graded Extensible Microbeams

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Topics: Microbeams , Frequency response

Adaptive Semi-Implicit Integrator for Articulated Mechanical Systems

Joe Hewlett, Laszlo Kovacs, Alfonso Callejo, Paul G. Kry, József Kövecses, Jorge Angeles

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051003. doi: https://doi.org/10.1115/1.4035671

Abstract

View articletitled, Adaptive Semi-Implicit Integrator for Articulated Mechanical Systems

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Topics: Chain , Pendulums , Simulation , Stiffness , Stability , Jacobian matrices

A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations

BeiBei Guo, Wei Jiang, ChiPing Zhang

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051004. doi: https://doi.org/10.1115/1.4035896

Abstract

View articletitled, A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations

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Topics: Differential equations , Numerical analysis , Space , Algorithms

Forward Static Optimization in Dynamic Simulation of Human Musculoskeletal Systems: A Proof-of-Concept Study

Mohammad S. Shourijeh, Naser Mehrabi, John McPhee

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051005. doi: https://doi.org/10.1115/1.4036195

Abstract

View articletitled, Forward Static Optimization in Dynamic Simulation of Human Musculoskeletal Systems: A Proof-of-Concept Study

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Topics: Muscle , Musculoskeletal system , Optimization , Simulation , Dynamics (Mechanics)

A Simple Shear and Torsion-Free Beam Model for Multibody Dynamics

Juan Carlos García Orden, Javier Cuenca Queipo

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051006. doi: https://doi.org/10.1115/1.4036116

Abstract

View articletitled, A Simple Shear and Torsion-Free Beam Model for Multibody Dynamics

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Topics: Deflection , Shear (Mechanics) , Stiffness , Torsion , Stress , Inertia (Mechanics) , Pendulums , Cantilever beams , Multibody dynamics , Displacement

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

Abstract

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

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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

An Efficient Numerical Simulation for Solving Dynamical Systems With Uncertainty

Ali Ahmadian, Soheil Salahshour, Chee Seng Chan, Dumitur Baleanu

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051008. doi: https://doi.org/10.1115/1.4036419

Abstract

View articletitled, An Efficient Numerical Simulation for Solving Dynamical Systems With Uncertainty

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Topics: Dynamic systems , Stability , Theorems (Mathematics) , Uncertainty , Computer simulation , Errors , Algorithms , Approximation

Estimation of Maximum Finger Tapping Frequency Using Musculoskeletal Dynamic Simulations

Mohammad Sharif Shourijeh, Reza Sharif Razavian, John McPhee

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051009. doi: https://doi.org/10.1115/1.4036288

Abstract

View articletitled, Estimation of Maximum Finger Tapping Frequency Using Musculoskeletal Dynamic Simulations

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Topics: Dynamics (Mechanics) , Excitation , Muscle , Musculoskeletal system , Signals , Simulation , Optimization

Energy Straggling Function by F^α-Calculus

Saleh Ashrafi, Ali Khalili Golmankhaneh

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051010. doi: https://doi.org/10.1115/1.4035718

Abstract

View articletitled, Energy Straggling Function by <em>F</em><sup>α</sup>-Calculus

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Topics: Fractals , Particulate matter

Enhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators

J. H. Yang, Miguel A. F. Sanjuán, H. G. Liu

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051011. doi: https://doi.org/10.1115/1.4036479

Abstract

View articletitled, Enhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators

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Topics: Resonance , Signals , Simulation

Vibration Control of Two-Degree-of-Freedom Structures Utilizing Sloshing in Nearly Square Tanks

Takashi Ikeda, Yuji Harata, Shota Ninomiya

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051012. doi: https://doi.org/10.1115/1.4036481

Abstract

View articletitled, Vibration Control of Two-Degree-of-Freedom Structures Utilizing Sloshing in Nearly Square Tanks

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Topics: Bifurcation , Equations of motion , Excitation , Frequency response , Sloshing , Theoretical analysis , Vibration control

A Study on the Dynamics of Spatial Mechanisms With Frictional Spherical Clearance Joints

Filipe Marques, Fernando Isaac, Nuno Dourado, António Pedro Souto, Paulo Flores, Hamid M. Lankarani

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051013. doi: https://doi.org/10.1115/1.4036480

Abstract

View articletitled, A Study on the Dynamics of Spatial Mechanisms With Frictional Spherical Clearance Joints

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Topics: Clearances (Engineering) , Friction , Dynamics (Mechanics) , Modeling , Multibody systems

Stability of Damped Skateboards Under Human Control

Balazs Varszegi, Denes Takacs, Gabor Stepan

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051014. doi: https://doi.org/10.1115/1.4036482

Abstract

View articletitled, Stability of Damped Skateboards Under Human Control

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Topics: Delays , Stability , Damping

A Special Hybrid Projective Synchronization in Symmetric Chaotic System With Unknown Parameter

Hong-juan Liu, Hai Yu, Zhi-liang Zhu

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051015. doi: https://doi.org/10.1115/1.4036519

Abstract

View articletitled, A Special Hybrid Projective Synchronization in Symmetric Chaotic System With Unknown Parameter

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Topics: Computer simulation , Control equipment , Errors , Synchronization , Simulation results , Stability

Flutter Control of a Two-Degrees-of-Freedom Airfoil Using a Nonlinear Tuned Vibration Absorber

Arnaud Malher, Cyril Touzé, Olivier Doaré, Giuseppe Habib, Gaëtan Kerschen

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051016. doi: https://doi.org/10.1115/1.4036420

Abstract

View articletitled, Flutter Control of a Two-Degrees-of-Freedom Airfoil Using a Nonlinear Tuned Vibration Absorber

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Topics: Airfoils , Bifurcation , Flutter (Aerodynamics) , Springs , Stability , Vibration absorbers , Stiffness

Railway Air Brake Model and Parallel Computing Scheme

Qing Wu, Colin Cole, Maksym Spiryagin, Yucang Wang, Weihua Ma, Chongfeng Wei

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051017. doi: https://doi.org/10.1115/1.4036421

Abstract

View articletitled, Railway Air Brake Model and Parallel Computing Scheme

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Topics: Brakes , Pipes , Pressure , Valves , Cylinders

Identification and Analysis of Artifacts in Amplitude Modulated Atomic Force Microscopy Array Operation

Samuel Jackson, Stefanie Gutschmidt

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051018. doi: https://doi.org/10.1115/1.4036520

Abstract

View articletitled, Identification and Analysis of Artifacts in Amplitude Modulated Atomic Force Microscopy Array Operation

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Topics: Atomic force microscopy , Cantilevers , Deflection , Resonance , Separation (Technology)

Nonlinear Reduced-Order Models for Aerodynamic Lift of Oscillating Airfoils

Muhammad Saif Ullah Khalid, Imran Akhtar

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051019. doi: https://doi.org/10.1115/1.4036346

Abstract

View articletitled, Nonlinear Reduced-Order Models for Aerodynamic Lift of Oscillating Airfoils

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Topics: Airfoils , Computational fluid dynamics , Lift (Fluid dynamics)

A Piecewise Nonpolynomial Collocation Method for Fractional Differential Equations

Shahrokh Esmaeili

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051020. doi: https://doi.org/10.1115/1.4036710

Abstract

View articletitled, A Piecewise Nonpolynomial Collocation Method for Fractional Differential Equations

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Topics: Approximation , Differential equations , Polynomials , Matlab

Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

Marwan Abukhaled

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051021. doi: https://doi.org/10.1115/1.4036813

Abstract

View articletitled, Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

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Topics: Algorithms , Approximation , Numerical analysis , Oscillations , Runge-Kutta methods , Stability , Vibration

Active Delayed Control of Turning and Milling Dynamics

Xinhua Long, Pingxu Zheng, Song Ren

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051022. doi: https://doi.org/10.1115/1.4036913

Abstract

View articletitled, Active Delayed Control of Turning and Milling Dynamics

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Topics: Control equipment , Cutting , Delays , Design , Dynamics (Mechanics) , Milling , Stability , Turning , Chatter , Optimal control

Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants

Davood Rezaei, Mohammad Saleh Tavazoei

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051023. doi: https://doi.org/10.1115/1.4037103

Abstract

View articletitled, Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants

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Topics: Feedback , Oscillations

Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors

David Chelidze

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051024. doi: https://doi.org/10.1115/1.4036814

Abstract

View articletitled, Reliable Estimation of Minimum Embedding Dimension Through Statistical Analysis of Nearest Neighbors

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Topics: Algorithms , Composite materials , Dimensions , Fuzzy neural nets , Noise (Sound) , Time series , Delays

One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches

Hassen M. Ouakad, Hamid M. Sedighi, Mohammad I. Younis

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051025. doi: https://doi.org/10.1115/1.4036815

Abstract

View articletitled, One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches

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Topics: Arches , Resonance , Microelectromechanical systems

A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

Guang-Da Hu

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051026. doi: https://doi.org/10.1115/1.4036761

Abstract

View articletitled, A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

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Topics: Nonlinear dynamical systems , Runge-Kutta methods , Trajectories (Physics) , Numerical analysis

Nonlinear Dynamical Analysis of the “Power Ball”

Tsuyoshi Inoue, Kohei Okumura, Kentaro Takagi

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051027. doi: https://doi.org/10.1115/1.4037075

Abstract

View articletitled, Nonlinear Dynamical Analysis of the “Power Ball”

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Topics: Equations of motion , Equilibrium (Physics) , Particle spin , Rotation , Rotors , Spin (Aerodynamics) , Inertia (Mechanics) , Modeling , Dynamics (Mechanics) , Stability

Finite Difference Computational Method for Trajectory Controllability of a Delayed Damped System Governed by Fractional Differential Equation

P. Muthukumar, B. Ganesh Priya

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051028. doi: https://doi.org/10.1115/1.4037076

Abstract

View articletitled, Finite Difference Computational Method for Trajectory Controllability of a Delayed Damped System Governed by Fractional Differential Equation

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Topics: Finite difference methods , Trajectories (Physics) , Approximation , Algorithms , Differential equations , Theorems (Mathematics) , Computer simulation , Delays , Computational methods

A Time-Delayed Hyperchaotic System Composed of Multiscroll Attractors With Multiple Positive Lyapunov Exponents

Yue Wang, Chunhua Wang, Ling Zhou

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051029. doi: https://doi.org/10.1115/1.4036831

Abstract

View articletitled, A Time-Delayed Hyperchaotic System Composed of Multiscroll Attractors With Multiple Positive Lyapunov Exponents

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Topics: Attractors , Stability , Time delay systems , Simulation , Circuits , Bifurcation

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

Abstract

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

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

Dynamic Optimization of Multibody System Using Multithread Calculations and a Modification of Variable Metric Method

Kornel Warwas, Szymon Tengler

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051031. doi: https://doi.org/10.1115/1.4037104

Abstract

View articletitled, Dynamic Optimization of Multibody System Using Multithread Calculations and a Modification of Variable Metric Method

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Topics: Braking , Multibody systems , Optimization , Vehicles , Wheels , Stability

Reduced-Order Modeling of Preloaded Bolted Structures in Multibody Systems by the Use of Trial Vector Derivatives

Florian Pichler, Wolfgang Witteveen, Peter Fischer

J. Comput. Nonlinear Dynam. September 2017, 12(5): 051032. doi: https://doi.org/10.1115/1.4036989

Abstract

View articletitled, Reduced-Order Modeling of Preloaded Bolted Structures in Multibody Systems by the Use of Trial Vector Derivatives

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Topics: Computation , Deformation , Friction , Pistons , Multibody systems , Stress , Bearings , Simulation , Stiffness

Technical Brief

Steering a Chaplygin Sleigh Using Periodic Impulses

Phanindra Tallapragada, Vitaliy Fedonyuk

J. Comput. Nonlinear Dynam. September 2017, 12(5): 054501. doi: https://doi.org/10.1115/1.4036117

Abstract

View articletitled, Steering a Chaplygin Sleigh Using Periodic Impulses

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Topics: Algorithms , Dynamics (Mechanics) , Impulse (Physics) , Momentum , Robotics , Torque , Wheels , Rotors , Design , Locomotives

Electronic Implementation of Fractional-Order Newton–Leipnik Chaotic System With Application to Communication

Mohammad Rafiq Dar, Nasir Ali Kant, Farooq Ahmad Khanday

J. Comput. Nonlinear Dynam. September 2017, 12(5): 054502. doi: https://doi.org/10.1115/1.4036547

Abstract

View articletitled, Electronic Implementation of Fractional-Order Newton–Leipnik Chaotic System With Application to Communication

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Topics: Circuits , Complementary metal oxide semiconductors , Design , Matlab , Generators , Attractors , Dynamics (Mechanics) , Energy consumption , Bifurcation , Metals