Journal of Computational and Nonlinear Dynamics
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EISSN:1555-1423|ISSN:1555-1415|Disc:The Journal of Computational and Nonlinear Dynamics provides a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid, and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems|Priority:12|Publisher:American Society of Mechanical Engineers|
Recent Submissions
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Electric Circuit Analogs of First-Order Dual-Phase-Lag Diffusion
(The American Society of Mechanical Engineers (ASME), 2024)The dual-phase-lag (DPL) model of nonclassical diffusion plays an expanding role for applications involving transient heat, mass, and momentum transfer. To open a new realm of applications for the model, the work reported ... -
The Phase Transition of Covariant Lyapunov Vector Precisely Locates a Stability Reversal of Quasi-Periodic Response
(The American Society of Mechanical Engineers (ASME), 2024)Assessing the stability of quasi-periodic (QP) response is crucial, as the bifurcation of QP response is usually accompanied by a stability reversal. The largest Lyapunov exponent (LLE), as an important indicator for chaotic ... -
Nonlinear Dynamic Analysis Framework for Slender Structures Using the Modal Rotation Method
(The American Society of Mechanical Engineers (ASME), 2024)Owing to their low induced drag, high-aspect-ratio wings are often applied to aircraft, particularly high-altitude long-endurance (HALE) aircraft. An analytical method that considers geometrical nonlinearity is necessary ... -
A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors
(The American Society of Mechanical Engineers (ASME), 2024)A nonregular oscillation is not enough to define a system as chaotic. A more in-depth investigation is required to prove the existence of chaotic behavior, which is challenging. Although many scientists use the Lyapunov ... -
A Numerical Study for Nonlinear Time-Space Fractional Reaction-Diffusion Model of Fourth-Order
(The American Society of Mechanical Engineers (ASME), 2024)In this article, we discuss the fractional temporal-spatial reaction-diffusion model with Neumann boundary conditions in one- and two-dimensional cases. The problem is solved by using a novel approach that depends on the ... -
Characterization of Three-Mode Combination Internal Resonances in Electrostatically Actuated Flexible–Flexible Microbeams
(The American Society of Mechanical Engineers (ASME), 2024)Nonlinear intermodal coupling based on internal resonances in MEMS resonators has advanced significantly over the past two decades for various real-world applications. In this study, we demonstrate the existence of various ... -
Design and Analysis of an Automotive Crash Box Using Strut-Based Lattice Structures
(The American Society of Mechanical Engineers (ASME), 2024)Crash boxes play a crucial role in cars by serving as energy-absorbing components, typically located at the front end. They are intentionally designed to collapse in a controlled manner during frontal collisions. The ... -
Sobolev-Type Nonlinear (k,ψ)−Hilfer Fractional Differential Equations With Control: Approximate Controllability Exploration
(The American Society of Mechanical Engineers (ASME), 2024)This paper is concerned with the approximate controllability of Sobolev-type (k,ψ)−Hilfer fractional differential equations (FDEs) with control and Sobolev-type (k,ψ)−Hilfer fractional initial conditions in Hilbert spaces. ... -
Bifurcation Analysis in Dynamical Systems Through Integration of Machine Learning and Dynamical Systems Theory
(The American Society of Mechanical Engineers (ASME), 2024)Characterizing the nonlinear behavior of dynamical systems near the stability boundary is a critical step toward understanding, designing, and controlling systems prone to stability concerns. Traditional methods for ... -
The Use of Slack Variables in the Adjoint Method Handling Inequality Constraints in Optimal Control and the Application to Tumor Drug Dosage
(The American Society of Mechanical Engineers (ASME), 2024)In this article, a modified gradient approach, based on the adjoint method, is introduced, to deal with optimal control problems involving inequality constraints. A common way to incorporate inequality constraints in the ... -
Three-Dimensional Space Chaotic Scrolls Generated by Memristive Hopfield Neural Network and Its Application in Robot Path Planning
(The American Society of Mechanical Engineers (ASME), 2024)In this paper, a novel three-dimensional space-scroll chaotic attractor is constructed by introducing piece-wise linear memristors into a three-neurons-based Hopfield neural network to simulate the electromagnetic influence ... -
Data-Driven Modeling of Tire–Soil Interaction With Proper Orthogonal Decomposition-Based Model Order Reduction
(The American Society of Mechanical Engineers (ASME), 2024)A data-driven model capable of predicting time-domain solutions of a high-fidelity tire–soil interaction model is developed to enable quick prediction of mobility capabilities on deformable terrain. The adaptive model order ... -
An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations
(The American Society of Mechanical Engineers (ASME), 2024)In this study, we compute and analyze the numerical solution of fractional coupled Boussinesq equations using fractional-order Laguerre operational matrices of differentiation. The fractional derivative is taken into ... -
On a Class of Periodic Inputs That Passively Quench the Superharmonic Resonance of a Symmetric Duffing Oscillator
(The American Society of Mechanical Engineers (ASME), 2024)The symmetric monostable Duffing oscillator exhibits a superharmonic resonance of order three when excited harmonically at an excitation frequency that is one third its linear natural frequency. In this letter, it is shown ... -
Optimization Algorithm-Based Fault-Tolerant Resilient Control for Helicopter System: The Finite-Time Case
(The American Society of Mechanical Engineers (ASME), 2025)This paper centers on the finite-time control problem of the helicopter system in the midst of external disturbances, gain fluctuations, and actuator faults. Precisely, the finite-time boundedness and input–output finite-time ... -
Nonlinear Dynamics of a Magnetic Shape Memory Alloy Oscillator
(The American Society of Mechanical Engineers (ASME), 2024)Magnetic shape memory alloys (MSMAs) constitute a class of smart materials capable of exhibiting large magnetic field induced strain (MFIS) when subjected to magnetomechanical loadings. Two distinct mechanisms are responsible ... -
A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations
(The American Society of Mechanical Engineers (ASME), 2024)This paper studies a sparse reconstruction-based approach to learn time–space fractional differential equations (FDEs), i.e., to identify parameter values and particularly the order of the fractional derivatives. The ... -
An Investigation of Dynamic Behavior of Electric Vehicle Gear Trains
(The American Society of Mechanical Engineers (ASME), 2024)The automotive industry has been experiencing a significant transition toward electrified powertrains in recent years. A torsional model of a common type of electric vehicle (EV) drivetrains is proposed to demonstrate ... -
Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations
(The American Society of Mechanical Engineers (ASME), 2024)Steady-state rotary periodic responses of mechanisms lead to stress cycling in flexible structures or connecting joints, which in turn can result in structural fatigue. A general approach is developed to study rotary ... -
Investigation of Nonlinear Dynamic Behaviors of Vertical Rotor System Supported by Aerostatic Bearings
(The American Society of Mechanical Engineers (ASME), 2024)A common issue associated with gas bearing–rotor systems is the tendency to generate self-excited vibrations, leading to instability. To address this problem, the fluid–structure coupling model of an aerostatic bearing–rotor ...