论文部分内容阅读
为保证星载索网天线反射型面具有一定的刚度和热稳定性,展开态的索网结构须具有一定的预应力。结合天线索网结构的组成特点,将索网结构的预拉力设计过程分为三个阶段:优化设计前索网面索段的预拉力;计算纵向拉索的索段预拉力;优化设计后索网面的索段预拉力。在前、后两次网面索段预拉力的优化设计中,网面索段预拉力的均匀化程度以网面中各索段拉力与网面索段的拉力均值之间的差值平方和大小来衡量;认为差值平方和越小,网面索段拉力越均匀。以索网结点在理想位置力平衡所需满足的方程为主要约束条件,建立索网预拉力优化设计的数学模型。结合线性相容方程组极小范数解的概念,通过模型等效转换讨论其有效求解方法。算例结果表明,以网面索段拉力与其均值的差方和最小为目标来优化设计索网预拉力的方法简便、有效。
In order to ensure a certain stiffness and thermal stability of the antenna-reflecting surface of the satellite-carrying cable network, the cable network structure in the deployed state must have a certain pre-stress. Combined with the characteristics of antenna cable network structure, the prestressing design process of cable net structure is divided into three stages: pre-tensioning of the cable section of the pre-cable mesh, pre-tensioning of the cable section of the longitudinal cable, Mesh section of the pre-tension cable. In the optimization design of the pre-tensioning force of the front and back two meshes, the pre-tension homogeneity of the mesh meshes is based on the square of the difference between the average tension of the meshes Size to measure; that the smaller the sum of squared difference, the more uniform mesh cable pull section. The main constraints are the equations to be solved for the force balance of the nodes of the cable network in the ideal position, and the mathematic model of the optimal design of the cable network prestressing force is established. Combining with the concept of minimal norm solution of linearly compatible equations, the effective solution method is discussed through the model equivalent transformation. The results of the example show that the method of optimizing the prestressing force of the cable network is simple and effective with the objective of minimizing the difference and the minimum between the pulling force and the mean of the cable section.