| 网格结构生成的代数映射改进技术 |
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| 引用本文： | 马骏,周岱,李华锋,董石麟.网格结构生成的代数映射改进技术[J].上海交通大学学报,2006,40(12):2106-2111. |
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| 作者姓名： | 马骏 周岱 李华锋 董石麟 |
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| 作者单位： | 上海交通大学,船舶海洋与建筑工程学院,上海,200240 |
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| 基金项目： | 上海市重点基础研究项目;高等学校博士学科点专项科研项目 |
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| 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．
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| 关 键 词： | 网格结构 形式代数 参数化建模 生成 |
| 文章编号： | 1006-2467(2006)12-2106-06 |
| 收稿时间： | 2005-12-17 |
| 修稿时间： | 2005年12月17 |
The Improved Mapping Technique for the Formation of Spatial Grid Structures Based on Formex Algebra |
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| MA Jun,ZHOU Dai,LI Hua-feng,DONG Shi-lin.The Improved Mapping Technique for the Formation of Spatial Grid Structures Based on Formex Algebra[J].Journal of Shanghai Jiaotong University,2006,40(12):2106-2111. |
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| Authors: | MA Jun ZHOU Dai LI Hua-feng DONG Shi-lin |
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| Institution: | School of Naval Architecture, Ocean and Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200240, China |
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| Abstract: | 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 creat 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. |
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| Keywords: | spatial grid structures formex algebra parametric modeling formation |
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