Development of CAD/CAE Seamless System Using Gridless Methods

使用无网格方法开发 CAD/CAE 无缝系统

• 批准号: 07455048
• 负责人: OKUDA Hiroshi
• 金额: $ 4.74万
• 依托单位: YOKOHAMA NATIONAL UNIVERSITY (1996)The University of Tokyo (1995)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07455048/
• 关键词: Gridless methods; Element-free methods; CAD; CAE seamless system; Massively parallel; Adaptive analysis

The aim of this study is to place the gridless methods at the center of the CAE system as an analyzer. The gridless methods, which are different approaches from the grid methods like FEM or FDM,are categorized into two types : the first one utilizes the moving Galerkin method and the second one modifies the procedure for making FEM stiffness matrices. As to the first approach, it is found that the comparable accuracy to FEM is obtained when using the same node distribution. Also, Node-by-Node meshless method is developed, which does not need the background cell. By developing the paint brush tool for node generation as well as the interface with the CAD,the prototype of CAD/CAE system is developed. As to the second approach, which is "a kind of meshless method" evaluating the stiffness matrices by temporally defining the elememt, the massively parallel and/or the cluster computing have been performed. Also, higher-order element and the application to fluid analysis are considered.

本研究的目的是将无网格方法置于CAE系统的中心作为分析器。无网格法是一种不同于有限元法或有限差分法的方法，它分为两类：一类是利用移动伽辽金法，另一类是修改有限元刚度矩阵的生成过程。对于第一种方法，发现当使用相同的节点分布时，可以获得与有限元相当的精度。提出了逐节点无网格法，该方法不需要背景单元。通过开发节点生成画笔工具以及与CAD的接口，开发了CAD/CAE系统原型。对于第二种方法，即通过时间定义单元来计算刚度矩阵的“一种无网格方法”，已经进行了大规模并行和/或集群计算。此外，高阶元素和流体分析的应用进行了审议。

项目成果

Toshio NAGASHIMA,Hiroshi OKUDA and Genki YAGAWA: "Application of Element-Free-Galerkin Method to 2D Elastic Problems" Proc.JSSC Symp.Comp.Mech.Struct.Eng.Related Fields. Vol.19. 309-314 (1995)

Toshio NAGASHIMA、Hiroshi OKUDA 和 Genki YAGAWA：“无单元伽辽金方法在二维弹性问题中的应用”Proc.JSSC Symp.Comp.Mech.Struct.Eng. 相关领域。

Genki YAGAWA, Tomonori YAMADA and Hiroshi KAWAI: "Some Remarks on Free Mesh Method:A Kind of Meshless Finite Element Method." Proc.of the International Conference on Computational Engineering Science(ICES'95). Vol.2. 1572-1578 (1995)

Genki YAGAWA、Tomonori YAMADA 和 Hiroshi KAWAI：“关于自由网格法的一些评论：一种无网格有限元法”。

Hiroshi OKUDA,Toshio NAGASHIMA and Genki YAGAWA: "Basic Study on Element-Free Galerkin Method (1st Report, Application to Ordinary Diffierential Equation)" Trans.of JSME,Ser.A.Vol.61, No.590. 2302-2308 (1995)

Hiroshi OKUDA、Toshio NAGASHIMA 和 Genki YAGAWA：“无元素伽辽金法的基础研究（第 1 次报告，在常微分方程中的应用）”Trans.of JSME，Ser.A.Vol.61，No.590。

Genki YAGAWA,Tomonori YAMADA and Hiroshi KAWAI: "Some Remarks on Free Mesh Method:A Kind of Meshless Finite Element Method," Proc.of the International Conference on Computational Engineering Science(ICES'95),. Vol.2. 1572-1578 (1995)

Genki YAGAWA，Tomonori YAMADA和Hiroshi KAWAI：“关于自由网格法的一些评论：一种无网格有限元法”，计算工程科学国际会议(ICES95)的Proc.。

Genki YAGAWA and Tomonori YAMADA: "Parallel Computing of Free Mesh Method" JSME,The 8th Computational Mechanics Conference. No.95-4. 437-438 (1995)

Genki YAGAWA 和 Tomonori YAMADA：“自由网格法的并行计算”JSME，第八届计算力学会议。