空间桁架结构等效连续体建模及固有特性分析

Subjects: Mechanics >> Basic Mechanics submitted time 2023-04-24 Cooperative journals: 《应用力学学报》

曹东兴 秦源 孙杰 朱东方 胡文华

Abstract： 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.

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