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The Theory for Unstable Structures and It's Applications to the Shape-Finding Problems

不稳定结构理论及其在找形问题中的应用

基本信息

批准号：
62460164
负责人：
HANGAI Yasuhiko
金额：
$ 3.97万
依托单位：
INSTITUTE OF INDUSTRIAL SCIENCE
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (B)
财政年份：
1987
资助国家：
日本
起止时间：
1987 至 1988
项目状态：
已结题

项目摘要

Membrane, cable structures and truss structures with mechanism have been coming more adoptable for spatial structures because of their small dead loads and convenience at the constructive stage. On the other hand, their property of unstability bring about several new types of problems. The problems concerning large displacements, pre-tension and shape-finding are coming about. In the study, we developed the analytical method for shape-finding of unstable structures based on "the theory of unstable structures". Then we made some experimental tests to certify the propriety of the method. The studies which we have carried out during this year are as follows.1. The application of the developed method : We applied our shape-finding method developed for unstable link structures to the analysis of the inflating process of a large pneumatic structure already constructed in practice.2. The experimental studies of two dimensional link models : For the purpose of the confirmation of propriety of the analytical method, the experimental studies of two dimensional link models were carried out. The liquid glycerin were effectively used to realize " the quasi-static states " in the experiments. The results agreed well with those of the analyses.3. The x-y-z measuring sustem : A single layer space frame dome and a three dimensional link model were measured with the x-y-z measuring system which have been already developed. The results proved the applicability of the system to the measurement of large displacements which occur during the stabilizing processes of unstable structures.4. Experimental production of an unstable arch : The unstable arch is a compressive structure and is the special case for the unstable structures which are generally considered to be the tensile structures. For the good grasp about the unstable strucbtures, we produced an unstable arch experimentally and set it up.

膜结构、索结构和带机构的桁架结构因其自重小、施工方便等优点，越来越多地被应用于空间结构中。另一方面，它们的不稳定性也带来了一些新的问题。由此产生了大位移、预张力和找形等问题。本文以“失稳结构理论”为基础，发展了失稳结构找形的解析方法。并通过实验验证了该方法的正确性。我们在今年进行的研究如下。1.所发展方法的应用：我们将所发展的不稳定杆系结构找形方法应用于一个实际建造的大型充气结构的充气过程分析.二维连杆模型的实验研究：为了验证分析方法的正确性，进行了二维连杆模型的实验研究。在实验中，液态甘油被有效地用来实现“准静态”。计算结果与分析结果吻合较好. x-y-z测量系统：利用已研制的x-y-z测量系统对单层空间刚架穹顶和三维杆件模型进行了测量。试验结果表明，该系统适用于不稳定结构稳定过程中的大位移测量.失稳拱的实验制作：失稳拱是一种受压结构，是一般认为是受拉结构的失稳结构的特例。为了对失稳结构有更好的了解，我们通过实验制作了一个失稳拱并进行了安装。