Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 521-540 of 1786
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An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel
(The American Society of Mechanical Engineers (ASME), 2020)In this paper, we find the solution for fractional coupled system arisen in magnetothermoelasticity with rotation using q-homotopy analysis transform method (q-HATM). The proposed technique is graceful amalgamations of ... -
Sensitivity Analysis of Nonlinear Transient Response Based on Perturbation in the Complex Domain
(The American Society of Mechanical Engineers (ASME), 2020)Sensitivity analysis of transient response plays a crucial role in structural dynamics optimization. In this paper, the sensitivity analysis method for calculating the first-order derivatives of the nonlinear transient ... -
Supercritical and Subcritical Hopf Bifurcations in a Delay Differential Equation Model of a Heat-Exchanger Tube Under Cross-Flow
(The American Society of Mechanical Engineers (ASME), 2020)Nonlinear vibrations of a heat-exchanger tube modeled as a simply supported Euler–Bernoulli beam under axial load and cross-flow have been studied. The compressive axial loads are a consequence of thermal expansion, and ... -
Partial Finite-Time Stabilization of Perturbed Nonlinear Systems Based on the Novel Concept of Nonsingular Terminal Sliding Mode Method
(The American Society of Mechanical Engineers (ASME), 2020)In this article, a new technique to design a robust controller to achieve finite-time partial stabilization for a class of nonlinear perturbed systems is proposed. Indeed the system is partially stabilized in a finite time, ... -
Approximate Limit Cycles for Vortex-Induced Vibration of a Sprung Cylinder
(The American Society of Mechanical Engineers (ASME), 2020)The homotopy analysis method (HAM) is an analytical approximate method to solve nonlinear problems, which is employed to give series solutions of a sprung cylinder's vortex-induced vibration. The wake flow is modeled by a ... -
Erratum: “Free Oscillation Solution for Fractional Differential System” (ASME J. Comput. Nonlinear Dyn., 2019, 14(12), p. 124502; DOI: 10.1115/1.4044922)
(The American Society of Mechanical Engineers (ASME), 2020)The error is in Eq. (20) on page 2. This is a well-known definition of the Mittag-Leffler function.The error should be corrected as follows:Error: In Eq. (20), page 2:where Ea,b(z) is the Mittag-Leffler function defined ... -
Compositing Coexisting Attractors by Linear Augmentation
(The American Society of Mechanical Engineers (ASME), 2020)In this paper, the composition of coexisting attractors is achieved through the control method of linear augmentation, which can also be considered as a new idea to generate multiscroll attractors. In order to prove the ... -
Nonlinear Response of an Inextensible, Free–Free Beam Subjected to a Nonconservative Follower Force
(The American Society of Mechanical Engineers (ASME), 2020)A free–free beam with a compressive follower force applied to one end exhibits interesting flutter and limit cycle oscillation (LCO) responses. Here, the derivation from Lagrange's equations is given for the nonlinear ... -
Effect of Ankle-Pivot Misalignment and Upward Ankle Vertical Displacement on Stability and Equilibrium Location for an Ankle-Hip Model of Balance on a Balance Board
(The American Society of Mechanical Engineers (ASME), 2020)During individual training on a balance board (BB), misalignment between the ankle joint and the BB axis of rotation may exist. The ankle-pivot misalignment influences the dynamics of human balance and more importantly, ... -
Modeling Planar Joints With Clearance Between the Guide and Roller in Mechanisms
(The American Society of Mechanical Engineers (ASME), 2020)In mechanisms, the guide and roller form joints with clearance and the roller may make contact with the convex surface or concave surface of the guide. Correctly modeling this type of joint is critical in a mechanism's ... -
Backward Differentiation Formula and Newmark-Type Index-2 and Index-1 Integration Schemes for Constrained Mechanical Systems
(The American Society of Mechanical Engineers (ASME), 2020)Various methods for solving systems of differential-algebraic equations (DAE systems) are known from literature. Here, an alternative approach is suggested, which is based on a collocated constraints approach (CCA). The ... -
A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems
(The American Society of Mechanical Engineers (ASME), 2020)In this paper, based on the idea of the extended Ritz method, we introduce an efficient approximate technique for solving a general class of fractional variational problems. In the discussed problem, the fractional derivatives ... -
Dynamic Analysis of Gear–Shaft–Bearing Coupled System Considering Bearing Waviness Defect
(The American Society of Mechanical Engineers (ASME), 2020)Using finite element and lumped parameter methods, a gear–shaft–bearing coupled vibration model was developed for a single-stage gear transmission system considering bearing waviness, bearing clearance, time-varying ... -
Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid
(The American Society of Mechanical Engineers (ASME), 2020)A rigorous analysis of coupled nonlinear equations for third-grade viscoelastic power-law non-Newtonian fluid is presented. Initially, the governing partial differential equations for conservation of energy and momentum ... -
Multistability and Stochastic Phenomena in the Distributed Brusselator Model
(The American Society of Mechanical Engineers (ASME), 2020)An influence of random disturbances on the pattern formation in reaction–diffusion systems is studied. As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary ... -
Fractional High-Order Differential Estimator and Feedback Controller Design for a Single-Input–Single-Output Affine Chaotic System
(The American Society of Mechanical Engineers (ASME), 2020)Control of chaos generally refers to realize a desired behavior of chaotic system output and its states. In this manner, we design a fractional high-order differential feedback controller (FHODFC) to increase tracking ... -
Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions
(The American Society of Mechanical Engineers (ASME), 2020)We study the nonlinear vibration of a beam with an attached grounded and ungrounded nonlinear vibration absorber (NVA) using the exact natural frequencies and mode shapes of the loaded beam. The nonlinearity in the beam ... -
Singularity: A maple Library for Local Zero Bifurcation Control of Scalar Smooth Maps
(The American Society of Mechanical Engineers (ASME), 2020)Singularity theory is designed for the local bifurcation analysis and control of singular phenomena. The theory has a significant technical computational burden. However, there does not exist any (symbolic) computer library ... -
Modeling and Analysis of Spatial Flexible Mechanical Systems With a Spherical Clearance Joint Based on the LuGre Friction Model
(The American Society of Mechanical Engineers (ASME), 2020)A computational methodology for modeling spatial flexible mechanical systems with stick-slip friction in a spherical clearance joint is presented. A modified three-dimensional (3D) absolute nodal coordinate formulation ... -
Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work
(The American Society of Mechanical Engineers (ASME), 2020)Understanding how variation impacts a multibody dynamic (MBD) system's response is important to ensure the robustness of a system. However, how the variation propagates into the MBD system is complicated because MBD systems ...