Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 781-800 of 1786
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Iterative Refinement of Accelerations in Real-Time Vehicle Dynamics
(The American Society of Mechanical Engineers (ASME), 2018)A number of strategies can be followed for the real-time simulation of multibody systems. The main contributing factor to computational efficiency is usually the algorithm itself (the number of equations and their structure, ... -
An Accurate Numerical Method for Solving Unsteady Isothermal Flow of a Gas Through a Semi-Infinite Porous Medium
(The American Society of Mechanical Engineers (ASME), 2018)The Kidder equation, y″(x)+2xy′(x)/1−βy(x)=0, x∈[0,∞), β∈[0,1] with y(0)=1, and y(∞)=0, is a second-order nonlinear two-point boundary value ordinary differential equation (ODE) on the semi-infinite domain, with a boundary ... -
Posing Multibody Dynamics With Friction and Contact as a Differential Complementarity Problem
(The American Society of Mechanical Engineers (ASME), 2018)This technical brief revisits the method outlined in Tasora and Anitescu 2011 [“A Matrix-Free Cone Complementarity Approach for Solving Large-Scale, Nonsmooth, Rigid Body Dynamics,” Comput. Methods Appl. Mech. Eng., 200(5–8), ... -
A Decentralized Neuro-Adaptive Control Scheme to Suppress Chaotic/Hyperchaotic Dynamics of Smart Valves Network
(The American Society of Mechanical Engineers (ASME), 2018)In this effort, we utilize a decentralized neuro-adaptive scheme in extinguishing both the chaotic and hyperchaotic dynamics of the so-called “Smart Valves” network. In particular, a network of two dynamically interconnected ... -
Resonance Analysis of Fractional-Order Mathieu Oscillator
(The American Society of Mechanical Engineers (ASME), 2018)The resonant behavior of fractional-order Mathieu oscillator subjected to external harmonic excitation is investigated. Based on the harmonic balance (HB) method, the first-order approximate analytical solutions for primary ... -
Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System
(The American Society of Mechanical Engineers (ASME), 2018)This paper aims to perform a complete Noether symmetry analysis of a generalized hyperbolic Lane–Emden system. Several constraints for which Noether symmetries exist are derived. In addition, we construct conservation laws ... -
An Adaptive Centralized Approach to Control Chaotic and Hyperchaotic Dynamics of Smart Valves Network
(The American Society of Mechanical Engineers (ASME), 2018)Catastrophic chaotic and hyperchaotic dynamical behaviors have been experimentally observed in the so-called “smart valves” network, given certain critical parameters and initial conditions. The centralized network-based ... -
New Operational Matrix for Solving Multiterm Variable Order Fractional Differential Equations
(The American Society of Mechanical Engineers (ASME), 2018)The multiterm fractional variable-order differential equation has a massive application in physics and engineering problems. Therefore, a numerical method is presented to solve a class of variable order fractional differential ... -
Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems
(The American Society of Mechanical Engineers (ASME), 2018)The robust control for a class of disturbed fractional-order systems is presented in this paper. The proposed controller considers a dynamic observer to exactly compensate for matched disturbances in finite time, and a ... -
Robust Adaptive Synchronization of Chaotic Systems With Nonsymmetric Input Saturation Constraints
(The American Society of Mechanical Engineers (ASME), 2018)This paper considers the robust synchronization of chaotic systems in the presence of nonsymmetric input saturation constraints. The synchronization happens between two nonlinear master and slave systems in the face of ... -
A Comparative Study of Integer and Noninteger Order Wavelets for Fractional Nonlinear Fredholm Integro-Differential Equations
(The American Society of Mechanical Engineers (ASME), 2018)This paper compares the performance of Legendre wavelets (LWs) with integer and noninteger orders for solving fractional nonlinear Fredholm integro-differential equations (FNFIDEs). The generalized fractional-order Legendre ... -
A New Property of Noninvasive Control Methods Applied to Stabilize Unstable Periodic Orbits
(The American Society of Mechanical Engineers (ASME), 2018)This paper is devoted to present a theorem on a new property of noninvasive control methods applied to stabilize unstable periodic orbits (UPOs). This property is related to the optimal energy consumption of the controller ... -
Tracking of a Bouncing Ball in a Planar Billiard Through Continuous-Time Approximations
(The American Society of Mechanical Engineers (ASME), 2018)The main goal of this paper is to design a state feedback control that makes a point mass track a non-Zeno reference trajectory in a planar billiard. This objective is achieved by first determining a continuous-time dynamical ... -
Response of a Harmonically Forced Dry Friction Damped System Under Time-Delayed State Feedback
(The American Society of Mechanical Engineers (ASME), 2018)Nonlinear dynamics, control, and stability analysis of dry friction damped system under state feedback control with time delay are investigated. The dry friction damped system is harmonically excited, and the nonlinearities ... -
A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems
(The American Society of Mechanical Engineers (ASME), 2018)A new scheme based on the homotopy analysis method (HAM) is developed for calculating the nonlinear normal modes (NNMs) of multi degrees-of-freedom (MDOF) oscillatory systems with quadratic and cubic nonlinearities. The ... -
A Finite Element Methodology to Study Soil–Structure Interaction in High-Speed Railway Bridges
(The American Society of Mechanical Engineers (ASME), 2018)This paper analyzes the dynamic soil–structure interaction (SSI) of a railway bridge under the load transmitted by high-speed trains using the finite element method (FEM). In this type of bridges, the correct analysis of ... -
A Method for Calculating and Continuing Static Solutions for Flexible Multibody Systems
(The American Society of Mechanical Engineers (ASME), 2018)A method to calculate static solutions for mechanical systems containing rigid and flexible bodies modeled by finite elements is described. The formulation of the equations makes use of generalized strains, which leads to ... -
On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems
(The American Society of Mechanical Engineers (ASME), 2018)Extensive studies have been done on the phenomenon of phase and anti-phase synchronization (APS) between one drive and one response systems. As well as, combination synchronization for chaotic and hyperchaotic systems ... -
Analytical Solutions of Period-1 to Period-2 Motions in a Periodically Diffused Brusselator
(The American Society of Mechanical Engineers (ASME), 2018)In this paper, the analytical solutions of periodic evolutions of the periodically diffused Brusselator are obtained through the generalized harmonic balanced method. Stable and unstable solutions of period-1 and period-2 ... -
On Finite Part Integrals and Hadamard-Type Fractional Derivatives
(The American Society of Mechanical Engineers (ASME), 2018)This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense; that is to say, the Hadamard-type fractional derivative of a given function can ...