Responses of continuous, inertialess beams to traversing mass - A generalization of Stokes problem
DOI10.1016/0020-7403(84)90024-9zbMath0529.73058OpenAlexW1969706670MaRDI QIDQ787746
Publication date: 1984
Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7403(84)90024-9
bending moment responsescritical beam deflectioncritical nondimensional responsesdiscrete supportsinertialess beamsmass at high speed traversing uniform, horizontal, continuous beamN up to sixoptimal spacings are those for which critical static span moments are all equalreduced to pseudostatic oneresponses significantly reduced by choice of optimal support spacing parametersset of N-span length multipliers for N-span beamStokes assumptiontrajectory of traversing mass described by set of N ordinary differential equations with variable coefficients
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60)
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