Vibrations of beams and rods carrying a moving mass

[摘要] We study the vibration of slender one-dimensional elastic structures (beams, cables, wires, rods) under the effect of a moving mass or load. We first consider the classical small- deflection (Euler-Bernoulli) beam case, where we look at tip vibrations of a cantilever as a model for a barreled launch system. Then we develop a theory for large deformations based on Cosserat rod theory. We illustrate the effect of moving loads on large-deformation structures with a few cable and arch problems. Large deformations are found to have a resonance detuning effect on the cable. For the arch we find different failure modes depending on its depth: a shallow arch fails by in-plane collapse, while a deep arch fails by sideways flopping. In both cases the speed of the traversing load is found to have a stabilising effect on the structure, with failure suppressed entirely at sufficiently high speed.

[发布机构] Department of Civil, Environmental and Geomatic Engineering, University College London, London, United Kingdom^1;School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China^2

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Cosserat rod theories;Deformation structure;Elastic structures;Euler-Bernoulli;Launch system;Resonance detuning;Shallow arch;Small deflection