Transient probability density of nonlinear oscillator under parametric harmonic and external modulated stochastic excitations

DOI10.1016/j.cnsns.2023.107754MaRDI QIDQ6183838

Vai Pan Iu, Jie Luo, Guo-Kang Er

Publication date: 23 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Duffing oscillatorGaussian white noiseexponential-polynomial-closure method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• Unnamed Item
• Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Numerical path integration of a non-homogeneous Markov process
• The exact steady-state solution of a class of nonlinear stochastic systems
• Generalization of the equivalent linearization method for nonlinear random vibration problems
• Numerical integration of the Langevin equation: Monte Carlo simulation
• Moment equation methods for nonlinear stochastic systems
• An improved closure method for analysis of nonlinear stochastic systems
• Observations with regard to massively parallel computation for Monte Carlo simulation of stochastic dynamical systems
• A new path integration procedure based on Gauss-Legendre scheme
• Stationary and non-stationary probability density function for nonlinear oscillators
• Probabilistic solutions of nonlinear oscillators excited by combined colored and white noise excitations
• Probabilistic solutions of a variable-mass system under random excitations
• Novel method for random vibration analysis of single-degree-of-freedom vibroimpact systems with bilateral barriers
• A generalized method for the stationary probabilistic response of nonlinear dynamical system
• Size-dependent nonlinear vibration analysis of cracked graphene-platelets-reinforced-composites (GPLRC) plate under parametric excitation
• RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION
• Transient Fokker-Planck-Kolmogorov equation solved with smoothed particle hydrodynamics method
• Methodology for the solutions of some reduced Fokker-Planck equations in high dimensions
• Exact Stationary Response Solution for Second Order Nonlinear Systems Under Parametric and External White Noise Excitations: Part II
• The Probabilistic Solutions to Nonlinear Random Vibrations of Multi-Degree-of-Freedom Systems
• Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations
• The generalized harmonic balance method for determining the combination resonance in the parametric dynamic systems
• Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique
• Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems
• Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai-Tajimi ground motion
• A New Method for the Probabilistic Solutions of Large-Scale Nonlinear Stochastic Dynamic Systems