Journal of Shandong University(Engineering Science) ›› 2018, Vol. 48 ›› Issue (4): 78-87.doi: 10.6040/j.issn.1672-3961.0.2017.373

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Dynamics charactersitics of flexible beams undergoing time varying mass

MA Chicheng1,2, GUO Zonghe1, LIU Canchang1, DAI Xiangjun1, ZHANG Xinong2, MAO Boyong2   

  1. 1. College of Transportation and Vehicles Engineering, Shandong University of Technology, Zibo 255000, Shandong, China;
    2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China
  • Received:2017-07-26 Online:2018-08-20 Published:2017-07-26

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Abstract: In terms of an elastic beam with a time varying mass, the oscillation equations were derived using mode superposition method, and the influences of the nonstructural damping induced by the changing mass were investigated. The differential equations were solved by self-adaptive Newmark method, then a relative confirmatory experiment was designed, while the change of the mass was realized by controlling the flow of water. The vibration signals were processed using time-frequency analysis toolkit, which showed more features of the time varying mass system in the time-frequency domain. The comparison of experimental results and numerical results demonstrated the feasibility of the proposed approach and the experimental test. The study showed that the nonstructural negative damping induced by the decreasing mass affected the motions significantly, which could not be neglected in the dynamic design of high precision structures as large-scale flexible robotic manipulators.

Key words: variable mass system, time varying structure, self-adaptive Newmark method, time frequency analysis, experiment

CLC Number: 

  • O329
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