Moment Lyapunov exponents and stochastic stability of a double-beam system under compressive axial loading

DOI10.1016/J.IJSOLSTR.2010.02.005zbMath1193.74062OpenAlexW1973417080MaRDI QIDQ991718

Ratko Pavlović, Predrag Kozić, Goran Janevski

Publication date: 7 September 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2010.02.005

zbMATH Keywords

perturbationeigenvaluesstochastic stabilitymechanics of solids and structuresWinkler elastic layer

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Random vibrations in dynamical problems in solid mechanics (74H50) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

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Cites Work

• Moment Lyapunov exponents of the stochastic parametrical Hill's equation
• Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach
• Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems
• Small noise expansion of moment lyapunov exponents for two-dimensional systems
• Numerical Methods in the Weak Sense for Stochastic Differential Equations with Small Noise
• Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation

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