STRACTURAL MORPHGENESIS AND OPTIMIZATION BY AUTONOMOUS DECENTRALIZED FINITE ELEMENT METHOD

自主分散有限元法的结构形态发生与优化

• 批准号: 11650594
• 负责人: TOSAKA Nobuyoshi
• 金额: $ 1.79万
• 依托单位: NIHON UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650594/
• 关键词: AUTONOMOUS DECENTRALIZATION; FINITE ELEMENT METHOD; STRUCTURAL MORPHGENESIS; BIOLOGICAL-APPROACH; LOCAL RULE; IMMUNE; SPACE STRUCTURE; TRASS; 構造形態形成; トラス; 空間構造; 免疫; 最小重量設計; 逆問題

Recent advances on form finding analysis, shape analysis and optimum design of structures in structural engineering are remarkable. There exist various solution methods and procedures to solve these problems. In recent years, a rapid increase in the use of life-like or biological approach such as the evolutional computation (for example, the genetic algorithms )GA) and the immune system) have seen in many fields.In this research project the applicability of life-like approach to shape analysis, and optimum design of elastic structures is discussed. Our main solution method is developed with the finite element method in conjunction with the concept of autonomous decentralization. This concept is the one of characteristics in life or biological system. The concept of autonomousness is implemented with the idea of local rule in the cell automaton. And the concept of decentralization is introduced with the relaxation technique in solution procedure in order to solve effectively the system of algebric equations.As numerical examples, the morphgenesis of elastic structure is given in order to show the effectiveness and validity of our method. They are minimum weight design problems of plane truss, and spatial truss structures and self-organization problem in two-dimensional elastic body.

近年来，结构工程在找形分析、形状分析和优化设计等方面取得了显著的进展。解决这些问题的方法和程序多种多样。近年来，进化计算(如遗传算法和免疫系统)等仿生方法在许多领域的应用迅速增加，本研究项目讨论了仿生方法在形状分析和弹性结构优化设计中的适用性。我们的主要求解方法是用有限元方法结合自主分散的概念来发展的。这个概念是生命或生物系统的特征之一。自主性的概念是在单元自动机中用局部规则的思想来实现的。为了有效地求解代数方程组，在求解过程中引入了离散化的概念和松弛技术，并给出了弹性结构的形变算例，以说明该方法的有效性和有效性。它们是平面桁架的最小重量设计问题，以及二维弹性体中的空间桁架结构和自组织问题。

项目成果

登坂宣好 他10名: "応用力学シリーズ9 建築における計算応用力学の進展"日本建築学会. 178 (2001)

Nobuyoshi Tosaka等10人：“应用力学系列9建筑计算应用力学的进展”日本建筑学会178（2001）。

N,Tosaka,T,Honma, et.al.: "Structural Morphgenesis by Autonomous Decentralized Finite Element Method"Proceedings of 6th APCS Shell and Spatial Structures. vol.1. 159-166 (2000)

N,Tosaka,T,Honma, et.al.：“通过自主分散有限元方法进行结构形态发生”第六届 APCS 壳和空间结构论文集。

中嶋寛直,登坂宣好: "免疫ネットワークアルゴリズムによるトラス構造の最適化"日本大学生産工学部第33回学術講演会 数理部会講演概要. 65-68 (2000)

Hironao Nakajima、Nobuyoshi Tosaka：“利用免疫网络算法优化桁架结构”日本大学工业工程学院第33届学术会议数学小组委员会演讲摘要65-68（2000）。

Mitsui, K., N.Tosaka: "Autonomous Generation and Optimization of Structural Systems"Proceedings of Int.Symp.on Theory, Design and Realization of Shell and Spatial Structure. TP107-1-TP107-7 (2001)

Mitsui, K., N.Tosaka：“结构系统的自主生成和优化”Int.Symp.on 壳和空间结构的理论、设计和实现论文集。

Honma. T., N. Tosaka: "Topology Optimization Using Node Neighborhood Model for Cellular Automata"Proceedings of the Conference on Computational Eng. and Sci.. Vol. 5. 441-444 (2000)

本间。