Non-linear self-excited random vibrations and stability of an SDOF system with parametric noises

DOI10.1023/A:1004399114582zbMATH Open0931.70018OpenAlexW172401722MaRDI QIDQ1276085

Jiri Náprstek

Publication date: 11 April 1999

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004399114582

zbMATH Keywords

structural dynamicsspectral densityFokker-Planck-Kolmogorov equationwind engineeringloss of aerodynamical stabilitymethod of stochastic linearizationmultiplicative random perturbationsnegative linear dampingpositive cubic dampingvan der Pol-type equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability for nonlinear problems in mechanics (70K20) Random vibrations in mechanics of particles and systems (70L05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (1)

Comparison of some approaches to stability of a sdof system under random parametric excitation

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