环形桁架结构动力分析的等效力学模型
刘福寿，金栋平，陈辉
摘要:针对大型空间环形天线桁架结构的周期特征,提出基于等效梁模型的动特性分析方法.首先,基于给定的周期单元运动学假设,将周期单元上任一点的位移采用单元中心的位移和应变来表示.然后,根据相同位移下周期单元和等效梁应有相同应变能和动能,给出了等效梁模型刚度和质量参数关于周期单元几何和材料特性参数的解析表达式.最后,通过对原环形桁架结构与等效梁模型固有振动特性的对比分析,验证了等效方法的精度和准确性.
关键词：环形桁架；周期性；等效梁模型；固有振动
An equivalent mechanics model for the dynamic analysis of hoop truss structures
Fushou Liu, Dongping Jin, Hui Chen
Abstract：Based on energy equivalence principle, a dynamic modeling method is presented for the hoop truss structure with periodic square unit. The displacement of any point in the periodic unit subjected to kinemaical assumptions are formulated through the displacement and strain components at the center of unit. Considering that the strain energy and kinetic energy of the periodic unit are the same as an equivalent beam segment in the same displacement filed, the elastic and inertial coefficients of the equivalent beam model are analytically expressed in terms of the geometry and material parameters of original periodic unit structure. The comparative analysis of natural vibration between the original hoop truss structure and the equivalent beam model shows the accuracy and the effectiveness of the proposed method.
Keyword：hoop truss structures; periodicity; equivalent beam model; natural vibration
原文链接：http://www.cnki.com.cn/Article/CJFDTotal-ZDGC201304007.htm
