Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 821-840 of 1786
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Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2
(The American Society of Mechanical Engineers (ASME), 2018)This study is interested in the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivatives. Based on the properties of the Laplace transform, Mittag-Leffler function, Jordan ... -
Study of Dynamic Model of Helical/Herringbone Planetary Gear System With Friction Excitation
(The American Society of Mechanical Engineers (ASME), 2018)Tooth friction is unavoidable and changes periodically in gear engagement. Friction excitation is an important excitation source of a gear transmission system. They are different than the friction coefficients of any two ... -
Dynamic Analysis of a Spatial Mechanism Including Frictionless Spherical Clearance Joint With Flexible Socket
(The American Society of Mechanical Engineers (ASME), 2018)In this paper, the dynamic response of a spatial four-bar mechanism with a spherical clearance joint with flexible socket is investigated. Previous research treats the socket as a whole rigid part and neglects the flexibility ... -
Extension of Maggi and Kane Equations to Holonomic Dynamic Systems
(The American Society of Mechanical Engineers (ASME), 2018)The Maggi and Kane equations of motion are valid for systems with only nonholonomic constraints, but may fail when applied to systems with holonomic constraints. A tangent space ordinary differential equation (ODE) extension ... -
An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems
(The American Society of Mechanical Engineers (ASME), 2018)In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the dynamic treatments of a class of fractional chaotic systems. To design the new proposed scheme, an appropriate nonlocal framework ... -
A Multiscale Formulation for Reducing Computation Time in Atomistic Simulations
(The American Society of Mechanical Engineers (ASME), 2018)Molecular dynamics simulations require significant computational resources to generate modest time evolutions. Large active forces lead to large accelerations, requiring subfemtosecond integration time steps to capture the ... -
Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor
(The American Society of Mechanical Engineers (ASME), 2018)This paper is mainly concerned with asymptotic stability for a class of fractional-order (FO) nonlinear system with application to stabilization of a fractional permanent magnet synchronous motor (PMSM). First of all, we ... -
Nonlinear Vibrations of Axially Functionally Graded Timoshenko Tapered Beams
(The American Society of Mechanical Engineers (ASME), 2018)This paper presents the coupled axial-transverse-rotational nonlinear forced vibrations of Timoshenko tapered beams made of an axially functionally graded (AFG) material subjected to an external harmonic excitation. Two ... -
Modeling the Microslip in the Flange Joint and Its Effect on the Dynamics of a Multistage Bladed Disk Assembly
(The American Society of Mechanical Engineers (ASME), 2018)The complex architecture of aircraft engines requires demanding computational efforts when the dynamic coupling of their components has to be predicted. For this reason, numerically efficient reduced-order models (ROM) ... -
Nonlinear Dynamics of Multilayered Microplates
(The American Society of Mechanical Engineers (ASME), 2018)This paper, for the first time, investigates the nonlinear forced dynamics of a three-layered microplate taking into account all the in-plane and out-of-plane motions. The Kirchhoff's plate theory, along with von Kármán ... -
Numerical Simulation and Convergence Analysis of Fractional Optimization Problems With Right-Sided Caputo Fractional Derivative
(The American Society of Mechanical Engineers (ASME), 2018)This paper presents an efficient approximation schemes for the numerical solution of a fractional variational problem (FVP) and fractional optimal control problem (FOCP). As basis function for the trial solution, we employ ... -
Nonlinear Oscillations Induced by Follower Forces in Prestressed Clamped Rods Subjected to Drag
(The American Society of Mechanical Engineers (ASME), 2018)Elastic-driven slender filaments subjected to compressive follower forces provide a synthetic way to mimic the oscillatory beating of biological flagella and cilia. Here, we use a continuum model to study the dynamical, ... -
Computational Rod Model With User-Defined Nonlinear Constitutive Laws
(The American Society of Mechanical Engineers (ASME), 2018)Computational rod models have emerged as efficient tools to simulate the bending and twisting deformations of a variety of slender structures in engineering and biological applications. The dynamics of such deformations, ... -
Information Theoretic Causality Measures for System Identification of Mechanical Systems
(The American Society of Mechanical Engineers (ASME), 2018)Parameter estimation and model order reduction (MOR) are important system identification techniques used in the development of models for mechanical systems. A variety of classical parameter estimation and MOR methods are ... -
Discontinuous Reinjection Probability Density functions in Type V Intermittency
(The American Society of Mechanical Engineers (ASME), 2018)This paper reports theoretical and numerical results about the reinjection process in type V intermittency. The M function methodology is applied to a simple mathematical model to evaluate the reinjection process through ... -
Formulation of Euler–Lagrange Equations for Multidelay Fractional Optimal Control Problems
(The American Society of Mechanical Engineers (ASME), 2018)In this paper, a new numerical scheme is proposed for multidelay fractional order optimal control problems where its derivative is considered in the Grunwald–Letnikov sense. We develop generalized Euler–Lagrange equations ... -
Difference Synchronization of Identical and Nonidentical Chaotic and Hyperchaotic Systems of Different Orders Using Active Backstepping Design
(The American Society of Mechanical Engineers (ASME), 2018)This paper introduces a new type of synchronization scheme, referred to as difference synchronization scheme, wherein the difference between the state variables of two master [slave] systems synchronizes with the state ... -
Adaptive Fuzzy Fractional-Order Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Nonlinear Systems
(The American Society of Mechanical Engineers (ASME), 2018)This paper investigates a novel adaptive fuzzy fractional-order nonsingular terminal sliding mode controller (AFFO-NTSMC) for second-order nonlinear dynamic systems. The technique of fractional calculus and nonsingular ... -
On the Singularity Theory Applied in Rail Vehicle Bifurcation Problem
(The American Society of Mechanical Engineers (ASME), 2018)The application of Hopf bifurcation is essential to rail vehicle dynamics because it corresponds to the linear critical speed. In engineering, researchers always wonder which vehicle parameters are sensitive to it. With ... -
Design Optimization Study of a Nonlinear Energy Absorber for Internal Combustion Engine Pistons
(The American Society of Mechanical Engineers (ASME), 2018)Piston impacts against the cylinder liner are the most significant sources of mechanical noise in internal combustion (IC) engines. Traditionally, the severity of impacts is reduced through the modification of physical and ...