The mathematical model of constrained damping pipe for device supporting and vibration reduction was established. The analytical expressions of displacement, dynamic stiffness and loss factor of the damping pipe with respect to geometric and physical parameters were obtained. The results show that the length of damping layer has significant effect on loss factor and there is an optimal length which makes loss factor a max value when other structural parameters maintain unchanged. It provides a quick and convenient optimization method to design damping pipes.%建立具有支撑功能的减振约束阻尼管的力学模型,采用解析分析得到该类型阻尼管位移、动刚度和损耗因子等关于各项几何及物理参数的表达式.通过计算发现,阻尼胶填充长度对元件的损耗因子有比较显著的影响,在给定的结构参数条件下,存在最优填充长度.为阻尼管结构设计提供了快速、简便的优化设计方法.
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