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MODAL TEST AND ANALYSIS OF CANTILEVER BEAM WITH TIP MASS

肖世富  杜强  陈滨  刘才山  向荣山  周为华  徐友钜  徐有刚  
【摘要】:正 The phenomenon of dynamic stiffening is a research field of generalinterest for flexible multi-body systems.In fact,there are not only dynamic stiffeningbut also dynamic softening phenomenon in the flexible multi-body systems.In thispaper,a non-linear dynamic model and its linearization characteristic equations of acantilever beam with tip mass in the centrifugal field are established by adopting thegeneral Hamilton Variational Principle.Then,the problems of the dynamic stiffeningand the dynamic softening are studied by using numerical simulations.Meanwhile,the modal test is carried out on our centrifuge.The numerical results show that thesystem stiffness will be strengthened when the centrifugal tension force acts on thebeam (i.e.the dynamic stiffening).However,the system stiffness will be weakenedwhen 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 theinertial force reaches a critical value.Through theoretical analysis,we find that thisphenomenon comes from the effect of dynamic softening resulting from the centrifugalcompression force.Our test results verify the above conclusions and confirm that bothdynamic stiffening and softening phenomena exist in flexible multi-body systems.

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