Nonstationary probability densities of system response of strongly nonlinear single-degree-of-freedom system subject to modulated white noise excitation

DOI10.1007/s10483-011-1509-7zbMath1258.70041OpenAlexW2320778832MaRDI QIDQ656907

Y. T. Leung, ZhiLong Huang, XiaoLing Jin

Publication date: 13 January 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1509-7

zbMATH Keywords

series expansionaveraged Fokker-Planck-Kolmogorov equation

Mathematics Subject Classification ID

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

Related Items (6)

Transient stochastic response of quasi integrable Hamiltonian systems ⋮ Optimal bounded control for maximizing reliability of Duhem hysteretic systems ⋮ Probabilistic solutions of a variable-mass system under random excitations ⋮ Transient influence of correlation between excitations on system responses ⋮ Transient stochastic response of quasi-partially integrable Hamiltonian systems ⋮ Novel method for random vibration analysis of single-degree-of-freedom vibroimpact systems with bilateral barriers

Cites Work

• Response and stability of strongly non-linear oscillators under wide-band random excitation
• Equivalent linearization for systems subjected to non-stationary random excitation
• A method for analysis of non-linear vibrations caused by modulated random excitation
• Transient Response of a Dynamic System Under Random Excitation
• Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators
• Mean square response of a duffing oscillator to a modulated white noise excitation by the generalized method of equivalent linearization
• Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
• Non-stationary random responses of a multi-degree-of-freedom system by the theory of evolutionary spectra
• Response of Flight Vehicles to Nonstationary Atmospheric Turbulence
• Analysis of Airplane Response to Nonstationary Turbulence Including Wing Bending Flexibility

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