【作者】 倪志军；

【导师】 孙炳楠；

【作者基本信息】 浙江大学 ， 结构工程， 2005， 硕士

【摘要】 本文主要从以下几个方面对索膜结构的设计方法进行了研究。一、索膜结构的材料与制作；二、索膜结构的找形设计；三、索膜结构的裁剪设计；四、索膜结构的抗拉锚固体系(张力锚)设计。 索膜结构是一种新型建筑结构形式，其材料与制作，试验与检验方法以及施工方法等都与普通建筑结构有所不同。本文从这些方面对索膜结构的特点进行了研究和总结。 索膜结构的找形设计方法目前主要有：动力松弛法，力密度法，非线性有限元法，控制点逼近法，比拟法和极小曲面法等。这些方法各有优缺点。本文对这些设计方法进行了研究，并提出了将力密度法和动力松弛法相结合的综合设计策略。通过典型算例和具体工程分析，经对比得出结论：综合设计策略构造的曲面比直接按照力密度法求得的曲面的精度有所提高，收敛速度比假设曲面再采用动力松弛法快得多，是一种有效的索膜结构找形设计方法。 索膜结构的裁剪设计就是在考虑预应力的施加分区，膜材料的性能，幅宽和单元剖分策略的前提下，寻找合适的裁剪线位置及分布以确定裁剪试样，并计算二维膜材料的裁剪下料图。本文主要探讨了常用的裁剪线确定方法和曲面展开方法。裁剪线采用曲面上两点问距离最短的线一测地线。曲面展丌是裁剪设计中的关键问题。本文对无约束极值法，等效杆单元有限元法等曲面展开方法进行了研究，并给出了算例。 索膜结构的抗拉锚固主要是对于非自平衡体系而言的。非自平衡体系通过抗拉锚固体系传递抵抗索的拉力效应。对于抗拉锚固体系的设计，本文在分类总结的基础上得到了实际工程能够参考的有用公式和结论。更多还原

【Abstract】 This dissertation is made up of four parts: the first one is the material and making method of membrane structure; the second is form-finding analysis; the third is cutting pattern finding; the fourth is tension anchor design.The material and making method of membrane structure is different from ordinal structures, this thesis summaries those points and gives some useful conclusions.There are several methods in form-finding analysis such as dynamic relaxation method; force density method; nonlinear finite element method; key points imminence method; paralleling method; minimum surface method etc. Each method has it’s advantages and disadvantages. The synthetical method for form finding of cable-reinforced membrane structures is proposed in this paper. In order to find the minimum surface of membrane structures, firstly the force density method is adopted to get approximate surface, then the dynamic relaxation method is used on the approximate surface to get an accuracy surface. It’s proved that the synthetical method is workful through some examples.Cutting pattern finding includes cutting lines obtainment; curve surface into plane. A method is proposed for geodesic lines generation by nonlinear element method in cutting pattern for cable-enforced membrane structures. The minimum potential energy principle is applied to prove that the balance location of equal-tension geometrical nonlinear cables is the geodesic line when it slides freely on membrane surface. The method to obtain the geodesic line in cutting pattern for cable-enforced membrane structures has good convergence and calculation speed. Severial flattening mathod are studied and some examples are given.The tension anchors are widely used in the tensile membrane structure. The thesis summarizes the anchors and gives many useful equations.更多还原