航天器中频段力学环境预示的混合线连接建模方法

A Hybrid Line Junction Modeling Method of Mid-Frequency Mechanical Environment Prediction for Spacecraft

针对航天器中频段的力学环境预示问题,提出了一种航天器结构混合线连接建模方法。首先应用波动理论推导了波数空间下的线连接动态刚度矩阵,然后通过构造线连接处的位移形函数,采用傅里叶变换技术建立混合线连接模型。提出了模态插值、三角波和Shannon小波三种形函数构造方法,并对三类形函数的优缺点进行了对比。典型结构的仿真结果表明,提出的混合线连接建模方法具有较好的预示精度,可应用于航天器结构的中频段的力学环境预示。

Aiming at the problem of mid-frequency dynamics environment prediction for spacecrafts,a hybrid line junction modeling method is proposed. The dynamic stiffness matrix of line junction is deduced in the wave number coordinate by use of the wave theory,then by using Fourier transform technique,the hybrid line junction model is established on the basis of displacement shape function. Three types of shape function construction method including modal interpolation shape function,triangle wave shape function and Shannon wavelet shape function are presented in this paper,and both advantages and disadvantages of these shape functions are compared. The simulation results of typical structure show that the modeling method presented in this paper has a good prediction accuracy,and can be applied to the midfrequency prediction of spacecraft structures.