A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems
DOI10.1007/s10483-020-2614-7zbMath1457.37071OpenAlexW3016921909MaRDI QIDQ2659558
Publication date: 26 March 2021
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-020-2614-7
least square methodstationary responseFokker-Planck-Kolmogorov (FPK) equationmulti-degree-of-freedom (MDOF) nonlinear system
Random vibrations in mechanics of particles and systems (70L05) Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Generation, random and stochastic difference and differential equations (37H10)
Related Items (1)
Cites Work
- Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise
- Exact stationary solutions of stochastically excited and dissipated partially integrable Hamiltonian systems
- Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems
- Monte Carlo simulation in the stochastic analysis of non-linear systems under external stationary Poisson white noise input
- Stochastic linearization of MDOF systems under parametric excitations
- A computational procedure to estimate the stochastic dynamic response of large nonlinear FE-models.
- Exponential closure method for some randomly excited nonlinear systems
- Methodology for the solutions of some reduced Fokker-Planck equations in high dimensions
- The Probabilistic Solutions to Nonlinear Random Vibrations of Multi-Degree-of-Freedom Systems
- Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations
- Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations
- Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems
- Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
- Stochastic Averaging of Quasi-Integrable Hamiltonian Systems
- A family of lower‐ and higher‐order transversal linearization techniques in non‐linear stochastic engineering dynamics
This page was built for publication: A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems