论文部分内容阅读
设计大型高精度天线等精密结构,有时要求结构(一般为桁架型)变形后的形状符合于结构功能预先规定的特殊要求,这对天线结构称之为保型设计。此问题的现行解法需要多次迭代才能求出近似解,本文提出了求得精确解的直接解法。本方法可在结构拓扑关系、节点座标及使用材料已知的情况下,通过求解简单的线性问题,即可得到结构设计方案——各构件截面面积的精确解,使结构在外载及自重作用下的位移严格符合预定的要求,并满足应力约束。 本方法用于大型天线结构的保型设计,可使反射体在外载及自重作用下发生变形后,其反射表面各节点落在一个预定的理想曲面上,严格实现了Von.Hoèrner提出的保型设计思想。 由于这样的预定变形解一般不是唯一的,因而本文还提出了它的进一步优选的方法。
Designing precision structures such as large-scale high-precision antennas, and sometimes requiring that the deformed shape of the structure (generally truss type) conforms to the special requirements prescribed by the structure function, this is called a shape-reducing design for the antenna structure. The current solution to this problem requires multiple iterations to find the approximate solution. This paper proposes a direct solution to the exact solution. This method can obtain the exact solution of the cross-sectional area of each component by solving a simple linear problem when the structure topology, the node coordinates, and the use materials are known, and the structure is subjected to external load and self-weight. The displacement below strictly meets the predetermined requirements and satisfies stress constraints. This method is used to ensure the design of large-scale antenna structures. After the reflectors are deformed under external load and self-weight, their reflection surface nodes fall on a predetermined ideal curved surface, strictly fulfilling the model proposed by Von. Hoèrner. Design idea. Since such a predetermined deformation solution is not generally unique, it further proposes its further preferred method.