Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 801-820 of 1786
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A Second-Order Scheme for Nonlinear Fractional Oscillators Based on Newmark-β Algorithm
(The American Society of Mechanical Engineers (ASME), 2018)This paper presents an accurate and efficient hybrid solution method, based on Newmark-β algorithm, for solving nonlinear oscillators containing fractional derivatives (FDs) of arbitrary order. Basically, this method employs ... -
The Reduced Space Shooting Method for Calculating the Peak Periodic Solutions of Nonlinear Systems
(The American Society of Mechanical Engineers (ASME), 2018)A hybrid approach which combines the reduced sequential quadratic programing (SQP) method with the shooting method is proposed to search the worst resonance response of nonlinear systems. The shooting method is first ... -
Numerical and Experimental Study of Clearance Nonlinearities Based on Nonlinear Response Reconstruction
(The American Society of Mechanical Engineers (ASME), 2018)With the growing structural complexity and growing demands on structural reliability, nonlinear parameters identification is an efficient approach to provide better understanding of dynamic behaviors of the nonlinear system ... -
Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach
(The American Society of Mechanical Engineers (ASME), 2018)The forced vibration of gyroscopic continua is investigated by taking the pipes conveying fluid as an example. The nonlinear normal modes and a numerical iterative approach are used to perform numerical response analysis. ... -
Stability and Performance Analysis of Six-Rotor Unmanned Aerial Vehicles in Wind Disturbance
(The American Society of Mechanical Engineers (ASME), 2018)The effect of wind disturbances on the stability of six-rotor unmanned aerial vehicles (UAVs) was investigated, exploring the various disturbances in different directions. The simulation model-based Euler–Poincare equation ... -
A Generalized Structure-Dependent Semi-Explicit Method for Structural Dynamics
(The American Society of Mechanical Engineers (ASME), 2018)In this paper, a novel generalized structure-dependent semi-explicit method is presented for solving dynamical problems. Some existing algorithms with the same displacement and velocity update formulas are included as the ... -
Heavy-Tailed Response of Structural Systems Subjected to Stochastic Excitation Containing Extreme Forcing Events
(The American Society of Mechanical Engineers (ASME), 2018)We characterize the complex, heavy-tailed probability density functions (pdfs) describing the response and its local extrema for structural systems subject to random forcing that includes extreme events. Our approach is ... -
Hamiltonian Formulation and Analysis for Transient Dynamics of Multi-Unit Hydropower System
(The American Society of Mechanical Engineers (ASME), 2018)This paper focuses on the implementation of a Hamiltonian model of multi-unit hydropower systems (MUHSs). First, a nonlinear mathematical model of the MUHS is established considering the occurrence of water hammer during ... -
Fractional Convection
(The American Society of Mechanical Engineers (ASME), 2018)In this study, we describe the fractional convection operator for the first time and present its discrete form with second-order convergence. A numerical scheme for the fractional-convection–diffusion equation is also ... -
Dynamic Response of an Unbalanced Rigid Rotor Bearing System With a Nonlinear Hydrodynamic Force
(The American Society of Mechanical Engineers (ASME), 2018)Planar dynamics of a rotor supported by long hydrodynamic journal bearing is investigated theoretically. An analytical model of the long journal bearing system is numerically integrated for analysis of fixed point and ... -
Complex Wave Solutions to Mathematical Biology Models I: Newell–Whitehead–Segel and Zeldovich Equations
(The American Society of Mechanical Engineers (ASME), 2018)Complex and real valued exact solutions to some reaction-diffusion equations are suggested by using homogeneous balance and Sine-Gordon equation expansion method. The predicted solution of finite series of some hyperbolic ... -
Chaos Synchronization of Fractional-Order Chaotic Systems With Input Saturation
(The American Society of Mechanical Engineers (ASME), 2018)This paper deals with the problem of master-slave synchronization of fractional-order chaotic systems with input saturation. Sufficient stability conditions for achieving the synchronization are derived from the basis of ... -
Enhanced Polynomial Chaos-Based Extended Kalman Filter Technique for Parameter Estimation
(The American Society of Mechanical Engineers (ASME), 2018)The generalized polynomial chaos (gPC) mathematical technique, when integrated with the extended Kalman filter (EKF) method, provides a parameter estimation and state tracking method. The truncation of the series expansions ... -
Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization
(The American Society of Mechanical Engineers (ASME), 2018)Active magnetic bearing (AMB) is the device to support and control rotating shaft. Feedback linearization is one of the methods to compensate the system nonlinearity, and it is often used in the control of AMB. Some ... -
First Integrals and Integrating Factors of Second-Order Autonomous Systems
(The American Society of Mechanical Engineers (ASME), 2018)We present a new approach to the construction of first integrals for second-order autonomous systems without invoking a Lagrangian or Hamiltonian reformulation. We show and exploit the analogy between integrating factors ... -
Enlarged Controllability of Riemann–Liouville Fractional Differential Equations
(The American Society of Mechanical Engineers (ASME), 2018)We investigate exact enlarged controllability (EEC) for time fractional diffusion systems of Riemann–Liouville type. The Hilbert uniqueness method (HUM) is used to prove EEC for both cases of zone and pointwise actuators. ... -
Dynamic Relaxation Using Continuous Kinetic Damping—Part I: Basic Algorithm
(The American Society of Mechanical Engineers (ASME), 2018)Dynamic relaxation (DR) is the most widely used approach for static equilibrium analyses. Specifically, DR compels dynamic systems to converge to a static equilibrium through the addition of fictitious damping. DR methods ... -
An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations
(The American Society of Mechanical Engineers (ASME), 2018)This paper presents an efficient numerical method for solving the distributed fractional differential equations (FDEs). The suggested framework is based on a hybrid of block-pulse functions and Taylor polynomials. For the ... -
Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach
(The American Society of Mechanical Engineers (ASME), 2018)We present an efficient method to significantly reduce the offline cost associated with the construction of training sets for hyper-reduction of geometrically nonlinear, finite element (FE)-discretized structural dynamics ... -
Parametric Instability and Localization of Vibrations in Three-Blade Wind Turbines
(The American Society of Mechanical Engineers (ASME), 2018)Nonlinear vibration characteristics of three-blade wind turbines are theoretically investigated. The wind turbine is modeled as a coupled system, consisting of a flexible tower with two degrees-of-freedom (2DOF), and three ...