Dynamic response of a bar embedded in semi-infinite medium: Stochastic approach

DOI10.1007/BF01170944zbMath0992.74040OpenAlexW2331309670MaRDI QIDQ1587715

Zdzisław Hryniewicz

Publication date: 16 September 2002

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

Full work available at URL: https://doi.org/10.1007/bf01170944

zbMATH Keywords

Laplace transformanalytical solutionbardynamic responseAdomian's decomposition methodresidue theoremaveraged solutionBourret's approximationrandom modulus of elasticityrandomly inhomogeneous semi-infinite mediumseries of multiple integrals

Mathematics Subject Classification ID

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

Uses Software

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Cites Work

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• Application of Adomian's decomposition procedure to the analysis of a beam on random Winkler support
• A simple self-consistent analysis of wave propagation in particulate composites
• Random differential equations in science and engineering
• Creep rupture of specimens with random material properties
• On the range of applicability of Bourret approximation
• Comparative study of various approaches to stochastic elastic wave propagation
• Stochastic systems

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