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星载索网反射面天线是由张拉索、膜以及支撑梁单元构成的组合结构,具有高度几何非线性,天线内部索、膜单元的张力不易控制。针对索、膜-桁架反射面天线结构中,索、膜张力确定的非线性问题,文中提出了一种张力设计的2步法:第1步,仅考虑索、膜结构,根据各向同性应力假设,推导了膜结构的平衡矩阵和平衡方程,在此基础上,建立以索、膜张力为设计变量,以索、膜张力均匀性为目标的优化模型,为避免索松弛和膜褶皱,引入相应张力约束;第2步,考虑梁结构的弹性变形对索膜张力和天线均方根误差的影响,采用逆迭代法对索膜张力予以修正。某6 m天线的算例表明,该方法可在一定程度上有效控制索膜张力的分布,快速得到一组平衡的索膜预张力。
The satellite-carrier cable reflector antenna is a combination of a tension cable, a membrane and a supporting beam unit, which has a highly geometric nonlinearity. The tension of the cable and the membrane unit inside the antenna is not easily controlled. In order to solve the nonlinear problem of cable and membrane tension determination in cable and truss reflector antenna structure, a two-step method of tension design is proposed in this paper. In the first step, only the cable and membrane structure are considered. According to the isotropic stress Assuming that the equilibrium matrix and the equilibrium equation of the membrane structure are deduced, an optimization model aiming at the design variables of cable and membrane tension and the uniformity of cable and film tension is established. In order to avoid cable relaxation and membrane wrinkling, The corresponding tension constraint; the second step, taking into account the elastic deformation of the beam structure on the cable tension and antenna root mean square error, the use of inverse iteration method to correct tension on the cable. An example of a 6 m antenna shows that the method can effectively control the tension distribution of the cable membrane to a certain extent and quickly obtain a balanced prestress of the cable membrane.