无阻尼多自由度动力减振器参数研究与应用

Parameters Study on Vibration Absorbing Parameters from Non-Damping Dynamic Absorber with Multi-Degree of Freedom

目的提出无阻尼多自由度动力减振器(DAMDOF)最佳减振参数的确定方法.方法通过理论分析无阻尼3个自由度动力减振器(DA3DOF)减振弹簧在有限相等变形条件下的减振器最小总质量计算,推广到无阻尼多自由度动力减振器参数的确定.结果无阻尼3个自由度动力减振器在前两个减振质量块趋近于零,第3个质量块趋近于单自由度动力减振器(DASD-OF)质量的1/3时,减振系统获得最小总质量,此时子系统最大变形为无阻尼DASDOF的3倍.结论将结果推广到无阻尼多自由度动力减振器(DAMDOF),表明可通过刚性接点连接和改变弹簧方向增大弹簧总长度,减少减振总质量,研究结果对于实际应用有指导意义.

This article aims to propose the calculating method of vibration absorbing parameters of non-damping dynamic absorber with multi degrees of freedom （DAMDOF）. The method of computing the minimum value of total absorber mass of non-damping dynamic absorber with three degrees of freedom（DA3DOF） under the same limited spring deformation is firstly obtained, then it is applied to non-damping dynamic absorbers with multi-degree of freedom （DAMDOF）. The results of analysis are that the vibration absorbing subsystem obtains the minimal total mass value as the first two mass blocks approaching to zero mass value and the third mass block approaching to one third mass value of a non-damping dynamic absorber with single degree of freedom（DASDOF） and the maximal deformation of the absorbing subsystem will be two times more than that of DASDOF with non-damping. This result can be extended to （DAMDOF）. Spring directions can be changed by employing rigid connections and the length of springs can be expanded under limited amplitude restriction to decrease the total mass value of the dynamic absorber system. Signifi- cantly, on the basis of these results, practical problems can be referred to it concerning this area.