Moment Lyapunov exponents of the stochastic parametrical Hill's equation

DOI10.1016/J.IJSOLSTR.2008.07.015zbMath1168.74369OpenAlexW2039814339MaRDI QIDQ838517

Goran Janevski, Predrag Kozić, Ratko Pavlović

Publication date: 26 August 2009

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.2008.07.015

zbMATH Keywords

perturbationeigenvaluesstochastic stabilityelastic beammechanics of solids and structures

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (1)

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

Cites Work

• Unnamed Item
• Non-Markovian parametrical vibration
• Influence of randomly varying damping coefficient on the dynamic stability of continuous systems
• Moment Lyapunov exponents of a two-dimensional system under bounded noise parametric excitation
• Effect of derivative process on the almost-sure asymptotic stability of second-order linear stochastic systems
• Almost-Sure Stability of Some Linear Stochastic Systems
• Small noise expansion of moment lyapunov exponents for two-dimensional systems
• Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation
• On the Stability of Linear Stochastic Differential Equations
• Stabilization of linear systems by noise: Application to flow induced oscillations

This page was built for publication: Moment Lyapunov exponents of the stochastic parametrical Hill's equation