Probabilistic solutions of nonlinear oscillators to subject random colored noise excitations

DOI10.1007/s00707-016-1715-1zbMath1369.74017OpenAlexW2519464947MaRDI QIDQ2014469

Siu-Siu Guo, Qingquan Shi

Publication date: 25 August 2017

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-016-1715-1

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Thermal effects in solid mechanics (74F05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Explicit expression of stationary response probability density for nonlinear stochastic systems

Cites Work

• Unnamed Item
• Towards estimating expected sizes of probabilistic skylines
• Stochastic averaging for a class of single degree of freedom systems with combined Gaussian noises
• Global-local mean square error criterion for equivalent linearization of nonlinear systems under random excitation
• Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Non-linear systems under parametric white noise input: digital simulation and response
• Moment equation methods for nonlinear stochastic systems
• An improved closure method for analysis of nonlinear stochastic systems
• Phase plane for narrow band random excitation of a duffing oscillator
• Methodology for the solutions of some reduced Fokker-Planck equations in high dimensions
• Stochastic response and stability of the Duffing oscillator under narrowband excitation
• The response envelope probability density function of a Duffing oscillator with random narrow-band excitation
• Colored Noise in Dynamical Systems
• Stochastic Jump and Bifurcation of a Duffing Oscillator Under Narrow-Band Excitation
• Non-linear resonance in strings under narrow band random excitation, part I: Planar response and stability

This page was built for publication: Probabilistic solutions of nonlinear oscillators to subject random colored noise excitations