Reliability of Elastic Structures Driven by Random Loads

DOI10.1137/0145022zbMath0577.73089OpenAlexW1993142034MaRDI QIDQ3698443

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Publication date: 1985

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0145022

zbMATH Keywords

orderGaussian white noiseparametric excitationunderdampingKelvin-Voigt modeldouble pendulumsimple pendulumelastic columnEuler columnfollower loadtransversal displacementfluctuating loadexpected time to reach a critical energyimpulsive random force applied at the hingeindex of reliabilityN-fold pendulumNewton dampingpartial differential equation of fourthsequence of approximations to the continuous columnstability criterion which depends on the noise to damping ratiotangentially loaded columnvertical or tangential random loadvertically loaded column

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Random vibrations in mechanics of particles and systems (70L05) Random vibrations in dynamical problems in solid mechanics (74H50) Reliability and life testing (62N05)

Related Items (3)

Asymptotic analysis of nonlinear systems with small stochastic perturbations ⋮ Stochastic stability of the loaded stiff rod ⋮ An efficient approach to obtaining the exit location distribution and the mean first passage time based on the GCM method

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