Stability and vibrations of an overcritical speed moving multiple discrete oscillators along an infinite continuous structure

DOI10.1016/J.EUROMECHSOL.2019.01.020zbMath1473.74070OpenAlexW2911308967WikidataQ128412213 ScholiaQ128412213MaRDI QIDQ2421983

Marko D. Petković, Jian Deng, Vladimir Stojanovic

Publication date: 18 June 2019

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2019.01.020

zbMATH Keywords

Toeplitz matrixdynamic instabilityprinciple of argumentD-decomposition methodshear-deformable beamtrigonometric method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (4)

Forced vibrations of a finite length metabeam with periodically arranged internal hinges and external supports ⋮ Moving point load on a beam with viscoelastic foundation containing fractional derivatives of complex order ⋮ Dynamic interaction and instability of two moving proximate masses on a beam on a Pasternak viscoelastic foundation ⋮ A wave number based approach for the evaluation of the Green's function of a one-dimensional railway track model

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• Drag experienced by a high-speed train due to excitation of ground vibrations

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