Some closed-form solutions in random vibration of Bernoulli-Euler beams

DOI10.1016/0020-7225(84)90022-3zbMath0556.73088OpenAlexW1978825970MaRDI QIDQ761113

David Livshits, Isaac Elishakoff

Publication date: 1984

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(84)90022-3

zbMATH Keywords

closed-form solutionsvelocitystressstructural dampingprobabilistic characteristicsdivergence of the mean-square stressrotary damping mechanismsseparate or combined dampingsspace-time correlation functions of displacementstationary excitationuniform, simply supported beamsVoigt dampingwhite both in space and time

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (6)

Applicatin of Krein's method for determination of natural frequencies of periodically supported beam based on simplified Bresse-Timoshenko equations ⋮ Vibrations of asymptotically and variationally based Uflyand-Mindlin plate models ⋮ Integral covariance analysis for random vibrations of linear continuous mechanical systems ⋮ On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency ⋮ Random vibration of structures by the finite element method ⋮ Generalization of Eringen's result for random response of a beam on elastic foundation

Cites Work

• Random Vibration of Beams
• The Brownian Motion of Strings and Elastic Rods
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