Studies on structural safety in stochastically excited Duffing oscillator with double potential wells

DOI10.1007/s10409-007-0091-4zbMath1202.70120OpenAlexW2012848349MaRDI QIDQ612442

Chun-Biao Gan, Shimin He

Publication date: 28 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10409-007-0091-4

zbMATH Keywords

RSIPstructural safetybasin erosionstochastic Duffing oscillatorstochastic melnikov condition

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05)

Related Items (1)

A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators

Cites Work

• First-passage failure of quasi-non-integrable-Hamiltonian systems
• Fractal basin boundaries
• Global bifurcations and chaos. Analytical methods
• Erosion of the safe basin for the transversal oscillations of a suspension bridge
• Noise-induced chaos and phase space flux
• Safety analysis of ship rolling in rough sea
• Noise-induced chaos in Duffing oscillator with double wells
• Noise-induced chaos and basin erosion in softening Duffing oscillator
• Fractal erosion of basins of attraction in coupled non-linear systems
• Integrity measures quantifying the erosion of smooth and fractal basins of attraction
• First-Passage Failure of Quasi-Integrable Hamiltonian Systems
• On Statistics of First-Passage Failure
• Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
• A two-surface model describing ratchetting behaviors and transient hardening under nonproportional loading

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