空间桁架结构等效连续体建模及固有特性分析  

Equlvalent modeling and vibration amalysis of space truss structure

作　　者：曹东兴[1,2] 秦源 孙杰 朱东方 胡文华 CAO Dongxing;QIN Yuan;SUN Jie;ZHU Dongfang;HU Wenhua(Faculty of Materials and Manufacturing,Beijing University of Technology,100124 Beijing,China;Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,100124 Beijing,China;Shanghai Aerospace Control Technology Institute,201109 Shanghai,China;Shanghai Key Laboratory of Aerospace Intellgent Control Technology,201109 Shanghai;School of Mechanical Engineering,Tianjin University of Technology,300384 Tianjin,China)

机构地区：[1]北京工业大学材料与制造学部,北京100124 [2]机械结构非线性振动与强度北京市重点实验室,北京100124 [3]上海航天控制技术研究所,上海201109 [4]上海市空间智能控制技术重点实验室,上海201109 [5]天津理工大学机械工程学院,天津300384

出　　处：《应用力学学报》2023年第2期282-293,共12页Chinese Journal of Applied Mechanics

基　　金：上海航天科技创新基金资助项目(No.SAST2018-094);国家自然科学基金资助项目(No.11972051)。

摘　　要：针对空间桁架天线的结构特点,基于能量等效原理分别建立了不带底板和带底板的空间桁架结构的等效梁连续体模型。将胞元横截面上任意点的位移用横截面中心处的位移分量线性表示,求得胞元的应变能和动能;基于能量等效原理利用哈密顿原理建立桁架天线结构的等效连续体动力学方程,求解得到等效连续体模型的固有频率和振型表达式;利用有限元方法对桁架结构进行仿真分析,并将仿真结果与等效连续体模型计算结果进行对比分析。结果表明,等效模型结果具有较好的精度,从而验证了等效连续体梁模型的正确性。研究结果可为大型空间可展桁架结构的动力学设计提供论支撑。According to the structural characteristics of space truss antennas,based on the principle of energy equivalence,the equivalent beam continuum models of space truss structures without and with floor plates are established respectively.Assuming that the three displacement components of the truss structure have a linear relationship in the cross section plane,that is,the displacement at any point on the cross section of the cell can be expressed linearly by the displacement component at the center of the cross section.The strain energy and kinetic energy of the cell can be obtained.Based on the energy equivalence principle,the dynamic equation of equivalent continuum of truss antenna structure is established by using Hamiltonian principle,and the expressions of natural frequency and mode of vibration of equivalent continuum model are obtained.The modal analysis of truss structure is carried out by using finite element software.The results of finite element simulation are compared with those of equivalent continuum model,and the correctness of equivalent continuum beam model is verified.

关 键 词：空间桁架 等效连续体模型 能量等效 固有振动 

分 类 号：V414.2[航空宇航科学与技术—航空宇航推进理论与工程]