First passage failure of quasi integrable-Hamiltonian systems under combined harmonic and white noise excitations

DOI10.1007/s00707-008-0091-xzbMath1205.70013OpenAlexW2076301202MaRDI QIDQ836240

N. E. Zubov

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1007/s00707-008-0091-x

zbMATH Keywords

Monte Carlo simulationstochastic averaging methodKolmogorov equationPontryagin equationexternal resonance

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (10)

Reliability of elastic impact system with Coulomb friction excited by Gaussian white noise ⋮ A bounded optimal control for maximizing the reliability of randomly excited nonlinear oscillators with fractional derivative damping ⋮ First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping ⋮ Reliability of a class of nonlinear systems under switching random excitations ⋮ Research on the reliability of friction system under combined additive and multiplicative random excitations ⋮ Noise-Induced Chaos in a Piecewise Linear System ⋮ Transient response of nonlinear vibro-impact system under Gaussian white noise excitation through complex fractional moments ⋮ Uncertainty analysis of vibrational frequencies of an incompressible liquid in a rectangular tank with and without a baffle using polynomial chaos expansion ⋮ Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses ⋮ Feedback maximization of reliability of MDOF quasi integrable-Hamiltonian systems under combined harmonic and white noise excitations

Cites Work

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• EXACT STATIONARY SOLUTIONS OF AVERAGED EQUATIONS OF STOCHASTICALLY AND HARMONICALLY EXCITED MDOF QUASI-LINEAR SYSTEMS WITH INTERNAL AND/OR EXTERNAL RESONANCES
• First-Passage Failure of Quasi-Integrable Hamiltonian Systems
• Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
• On Statistics of First-Passage Failure

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