网格结构生成的代数映射改进技术  

The Improved Mapping Technique for the Formation of Spatial Grid Structures Based on Formex Algebra

作　　者：马骏[1] 周岱[1] 李华锋[1] 董石麟[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《上海交通大学学报》2006年第12期2106-2111,共6页Journal of Shanghai Jiaotong University

基　　金：上海市基础研究重点项目资助(04JC14059);教育部高等学校博士学科点专项科研基金项目资助(20040248002)

摘　　要：鉴于运用形式代数进行参数化建模只适用于简单空间结构的问题,提出了对空间网格结构的参数化快速间接二次建模新方法.通过生成相应平面网架结构,利用空间映射关系变换为空间网壳结构,并自行开发了空间网格结构生成软件GAS.该方法为解决诸如双层网壳结构、局部双层网壳、斜拉网壳等复杂构形的空间网格结构生成问题提供了新手段.根据映射理论,基于杆件种类最少原则,提出了切割型和组合型空间网格结构的形式代数算法,显示出这种间接二次建模对于切割型、组合型空间网格结构生成的有效性.In view of the problem that the direct parametric modeling is difficult to be clearly expressed by using the formex algebra, an indirect parametric modeling approach for spatial grid structures was given. After the relative spatial truss structure is formed, the mapping relationship is adopted to ereat the targeted spatial grid shell structures. And, a program named GAS developed by Visual C＋＋ tool was put forward. It is obvious that this approach is also convenient to form such spatial grid structures as partial double-layer grid shell structures and the cable-stayed spatial grid shell structures. In addition, the formation arithmetic for spatial grid structures with incomplete or/and composite geometric shapes was submitted by means of the mapping theory of formex algebra.

关 键 词：网格结构 形式代数 参数化建模 生成 

分 类 号：TU311.41[建筑科学—结构工程]