Volume 8 Issue 1 | J. Comput. Nonlinear Dynam.

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Volume 8, Issue 1

January 2013

ISSN 1555-1415

EISSN 1555-1423

Research Papers

Perturbation Analysis of a Nonlinear Resonator

Shahin S. Nudehi, Umar Farooq

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011001. doi: https://doi.org/10.1115/1.4005998

Abstract

View articletitled, Perturbation Analysis of a Nonlinear Resonator

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Topics: Membranes , Resonance , Frequency response , Acoustics , Dynamics (Mechanics) , Perturbation theory , Simulation results

Swing-Up Control of a Three-Link Underactuated Manipulator by High-Frequency Horizontal Excitation

Kazuya Endo, Hiroshi Yabuno

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011002. doi: https://doi.org/10.1115/1.4006251

Abstract

View articletitled, Swing-Up Control of a Three-Link Underactuated Manipulator by High-Frequency Horizontal Excitation

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Topics: Bifurcation , Equilibrium (Physics) , Excitation , Manipulators

Adaptive Control for a Class of Hysteretic Systems

Seyyed Hossein Mousavi, Alireza Khayatian

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011003. doi: https://doi.org/10.1115/1.4006328

Abstract

View articletitled, Adaptive Control for a Class of Hysteretic Systems

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Topics: Control equipment , Design , Adaptive control , Signals , Simulation results

Parametric Resonance Based Piezoelectric Micro-Scale Resonators: Modeling and Theoretical Analysis

Pooya Ghaderi, Andrew J. Dick

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011004. doi: https://doi.org/10.1115/1.4006429

Abstract

View articletitled, Parametric Resonance Based Piezoelectric Micro-Scale Resonators: Modeling and Theoretical Analysis

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Topics: Damping , Equations of motion , Excitation , Frequency response , Microscale devices , Modeling , Oscillations , Resonance , Vibration , Theoretical analysis

Fixed Point Analytical Method for Nonlinear Differential Equations

Ding Xu, Xin Guo

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011005. doi: https://doi.org/10.1115/1.4006337

Abstract

View articletitled, Fixed Point Analytical Method for Nonlinear Differential Equations

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Topics: Approximation , Nonlinear differential equations , Relaxation (Physics) , Errors

Intrinsic Time Integration Procedures for Rigid Body Dynamics

Olivier A. Bauchau, Hao Xin, Shiyu Dong, Zhiheng Li, Shilei Han

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011006. doi: https://doi.org/10.1115/1.4006252

Abstract

View articletitled, Intrinsic Time Integration Procedures for Rigid Body Dynamics

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Topics: Kinematics , Rotation , Tensors , Equations of motion , Momentum , Dynamics (Mechanics)

Autoparametric Resonances of Elastic Structures Coupled With Two Sloshing Modes in a Square Liquid Tank

Takashi Ikeda, Masaki Takashima, Yuji Harata

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011007. doi: https://doi.org/10.1115/1.4006531

Abstract

View articletitled, Autoparametric Resonances of Elastic Structures Coupled With Two Sloshing Modes in a Square Liquid Tank

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

A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems

Min Shi, Zaihua Wang, Maolin Du

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011008. doi: https://doi.org/10.1115/1.4006572

Abstract

View articletitled, A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems

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Topics: Algorithms , Differential equations , Dynamic systems , Approximation , Numerical analysis

Nonlinear Bifurcation Analysis of a Single-DoF Model of a Robotic Arm Subject to Digital Position Control

Giuseppe Habib, Giuseppe Rega, Gabor Stepan

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011009. doi: https://doi.org/10.1115/1.4006430

Abstract

View articletitled, Nonlinear Bifurcation Analysis of a Single-DoF Model of a Robotic Arm Subject to Digital Position Control

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Topics: Bifurcation , Stability , Position control , Attractors , Robotics

Characterizing Dynamic Transitions Associated With Snap-Through: A Discrete System

R. Wiebe, L. N. Virgin, I. Stanciulescu, S. M. Spottswood, T. G. Eason

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011010. doi: https://doi.org/10.1115/1.4006201

Abstract

View articletitled, Characterizing Dynamic Transitions Associated With Snap-Through: A Discrete System

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Topics: Aircraft , Attractors , Buckling , Chaos , Discrete systems , Dynamic response , Equilibrium (Physics) , Excitation , Oscillations , Potential energy

Selective Self-Excitation of Higher Vibrational Modes of Graphene Nano-Ribbons and Carbon Nanotubes Through Magnetomotive Instability

A. Nordenfelt

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011011. doi: https://doi.org/10.1115/1.4006563

Abstract

View articletitled, Selective Self-Excitation of Higher Vibrational Modes of Graphene Nano-Ribbons and Carbon Nanotubes Through Magnetomotive Instability

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Topics: Carbon nanotubes , Excitation , Graphene , Magnetic fields , Computer simulation , Gates (Closures)

Low-Velocity Impact Response of Structures With Local Plastic Deformation: Characterization and Scaling

Andreas P. Christoforou, Ahmet S. Yigit, Majed Majeed

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011012. doi: https://doi.org/10.1115/1.4006532

Abstract

View articletitled, Low-Velocity Impact Response of Structures With Local Plastic Deformation: Characterization and Scaling

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Topics: Boundary-value problems , Damage , Deformation , Design , Finite element model , Mechanical admittance , Plates (structures) , Simulation , Stiffness , Simulation results

Gear Dynamics Analysis With Turbulent Journal Bearings Under Quadratic Damping and Nonlinear Suspension—Bifurcation and Chaos

Cai-Wan Chang-Jian

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011013. doi: https://doi.org/10.1115/1.4006203

Abstract

View articletitled, Gear Dynamics Analysis With Turbulent Journal Bearings Under Quadratic Damping and Nonlinear Suspension—Bifurcation and Chaos

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Topics: Bearings , Bifurcation , Damping , Gears , Turbulence , Fractals , Dynamics (Mechanics) , Dimensions , Chaos , Poincaré maps

An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

Laura Ruzziconi, Mohammad I. Younis, Stefano Lenci

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011014. doi: https://doi.org/10.1115/1.4006838

Abstract

View articletitled, An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

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Topics: Approximation , Dynamics (Mechanics) , Excitation , Microbeams , Microelectromechanical systems , Shapes , Stress , Attractors , Bifurcation , Mode shapes

Rolling Condition and Gyroscopic Moments in Curve Negotiations

Ahmed A. Shabana, Martin B. Hamper, James J. O’Shea

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011015. doi: https://doi.org/10.1115/1.4006818

Abstract

View articletitled, Rolling Condition and Gyroscopic Moments in Curve Negotiations

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Topics: Curve negotiation , Trajectories (Physics) , Wheelsets , Railroads , Rotation , Equations of motion , Yaw , Degrees of freedom , Wheels , Rails

A New Extended Multiple Car-Following Model Considering the Backward-Looking Effect on Traffic Flow

Shuhong Yang, Weining Liu, Dihua Sun, Chungui Li

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011016. doi: https://doi.org/10.1115/1.4007310

Abstract

View articletitled, A New Extended Multiple Car-Following Model Considering the Backward-Looking Effect on Traffic Flow

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Topics: Flow (Dynamics) , Stability , Traffic , Automobiles , Computer simulation

Description and Validation of a Finite Element Model of Backflow During Infusion Into a Brain Tissue Phantom

José J. García, Ana Belly Molano, Joshua H. Smith

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011017. doi: https://doi.org/10.1115/1.4007311

Abstract

View articletitled, Description and Validation of a Finite Element Model of Backflow During Infusion Into a Brain Tissue Phantom

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Topics: Agar , Biological tissues , Brain , Catheters , Finite element model , Flow (Dynamics) , Fluid pressure , Fluids , Boundary-value problems , Phantoms

Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

Yeşim Saraç

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011018. doi: https://doi.org/10.1115/1.4006786

Abstract

View articletitled, Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

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Topics: Computation , Optimal control , Wave equations

A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

Astrid Pechstein, Daniel Reischl, Johannes Gerstmayr

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011019. doi: https://doi.org/10.1115/1.4007191

Abstract

View articletitled, A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

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Topics: Deformation , Degrees of freedom , Displacement , Equations of motion , Multibody systems , Rotation , Shapes , Tensors , Stiffness , Mode shapes

Technical Briefs

Hopf Bifurcation Analysis for a Novel Hyperchaotic System

Kejun Zhuang

J. Comput. Nonlinear Dynam. January 2013, 8(1): 014501. doi: https://doi.org/10.1115/1.4006327

Abstract

View articletitled, Hopf Bifurcation Analysis for a Novel Hyperchaotic System

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Topics: Bifurcation , Equilibrium (Physics) , Stability , Computer simulation , Manifolds

Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

A. Khosrozadeh, M. A. Hajabasi, H. R. Fahham

J. Comput. Nonlinear Dynam. January 2013, 8(1): 014502. doi: https://doi.org/10.1115/1.4006789

Abstract

View articletitled, Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

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Topics: Approximation , Fourier series , Oscillations

Research Papers

Perturbation Analysis of a Nonlinear Resonator

Swing-Up Control of a Three-Link Underactuated Manipulator by High-Frequency Horizontal Excitation

Adaptive Control for a Class of Hysteretic Systems

Parametric Resonance Based Piezoelectric Micro-Scale Resonators: Modeling and Theoretical Analysis

Fixed Point Analytical Method for Nonlinear Differential Equations

Intrinsic Time Integration Procedures for Rigid Body Dynamics

Autoparametric Resonances of Elastic Structures Coupled With Two Sloshing Modes in a Square Liquid Tank

A Modified Multi-Step Differential Transform Method for Solving Fractional Dynamic Systems

Nonlinear Bifurcation Analysis of a Single-DoF Model of a Robotic Arm Subject to Digital Position Control

Characterizing Dynamic Transitions Associated With Snap-Through: A Discrete System

Selective Self-Excitation of Higher Vibrational Modes of Graphene Nano-Ribbons and Carbon Nanotubes Through Magnetomotive Instability

Low-Velocity Impact Response of Structures With Local Plastic Deformation: Characterization and Scaling

Gear Dynamics Analysis With Turbulent Journal Bearings Under Quadratic Damping and Nonlinear Suspension—Bifurcation and Chaos

An Efficient Reduced-Order Model to Investigate the Behavior of an Imperfect Microbeam Under Axial Load and Electric Excitation

Rolling Condition and Gyroscopic Moments in Curve Negotiations

A New Extended Multiple Car-Following Model Considering the Backward-Looking Effect on Traffic Flow

Description and Validation of a Finite Element Model of Backflow During Infusion Into a Brain Tissue Phantom

Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

A Generalized Component Mode Synthesis Approach for Flexible Multibody Systems With a Constant Mass Matrix

Technical Briefs

Hopf Bifurcation Analysis for a Novel Hyperchaotic System

Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

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