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Modal test and analysis of cantilever beam with tip mass
Xiao, SF ; Du, Q ; Chen, B ; Liu, CS ; Xiang, RS ; Zhou, WH ; Xu, YJ ; Xu, YG
刊名acta mechanica sinica
2002
关键词flexible multibody system centrifugal field inertial force dynamic stiffening dynamic softening
英文摘要The phenomenon of dynamic stiffening is a research field of general interest for flexible multi-body systems. In fact, there are not only dynamic stiffening but also, dynamic softening phenomenon in the flexible multi-body systems. In this paper, a non-linear dynamic model and its linearization characteristic equations of a cantilever beam with tip mass in the centrifugal field are established by adopting the general Hamilton Variational Principle. Then, the problems of the dynamic stiffening and the dynamic softening are studied by using numerical simulations. Meanwhile, the modal test is carried out on our centrifuge. The numerical results show that the system stiffness will be strengthened when the centrifugal tension force acts on the beam (i.e. the dynamic stiffening). However, the system stiffness will be weakened when the centrifugal compression force acts on the beam (i.e. the dynamic softening). Furthermore, the equilibrium position of the system will lose its stability when the inertial force reaches a critical value. Through theoretical analysis, we find that this phenomenon comes from the effect of dynamic softening resulting from the centrifugal compression force. Our test results verify the above conclusions and confirm that both dynamic stiffening and softening phenomena exist in flexible multi-body systems.; Engineering, Mechanical; Mechanics; SCI(E); EI; 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 4; 4; 407-413; 18
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/208727]  
专题工学院
推荐引用方式
GB/T 7714
Xiao, SF,Du, Q,Chen, B,et al. Modal test and analysis of cantilever beam with tip mass[J]. acta mechanica sinica,2002.
APA Xiao, SF.,Du, Q.,Chen, B.,Liu, CS.,Xiang, RS.,...&Xu, YG.(2002).Modal test and analysis of cantilever beam with tip mass.acta mechanica sinica.
MLA Xiao, SF,et al."Modal test and analysis of cantilever beam with tip mass".acta mechanica sinica (2002).
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