张拉膜结构的找形分析与形态优化研究

The Form finding and the Shape stress Optimization of Membrane Structures

找形分析是膜结构设计特有的工作,目前常用力密度法、动力松弛法和非线性有限元法等方法进行。本文根据弹性力学的基本原理,对这三种方法进行了剖析总结。本文还提出了膜结构“最优形态”的概念,阐述了膜结构的“形”与“态”之间的关系,建立了膜结构“形态优化”的最小变形能理论模型及求解方法。文中给出了算例。

Form finding is a main process in the design of membrane structures. Generally, three methods are used in form finding nowadays: the force density method, dynamic relaxation method and nonlinear finite element method. This paper summarizes the uniform essentials in the sense of basic elastic mechanics theory of these three methods. The concept of optimal shape and stress of membrane structures is also put forward and the relation between the shape and stress status is elucidated,Furthermore, a model based on the minimum strain energy theory is developed with solution given. A numerical example is presented as well.