权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Manifold Finite Element Method And its Application for Naval Structural Analysis.

流形有限元方法及其在船舶结构分析中的应用。

基本信息

批准号：
09305065
负责人：
OHTSUBO Hideomi
金额：
$ 14.27万
依托单位：
THE UNIVERSITY OF TOKYO
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (A)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

项目摘要

The characteristic idea of the Finite Cover Method and Manifold Method is to define the mathematical field for approximation independent from the physical field, where the partial differential equation is required to be satisfied. The approximation is constructed ton the mathematical field by some distributed covers. Since the mathematical field is defined irrelevant with the geometrical shape of the physical field, any complex structure can be covered simply by mathematical covers with regular shapes. The voxel data is employed for cover distribution by using square or cubic covers so that the merit of voxel analysis can be inherited to improve the efficiency of solid structural analysis. The problem of linear independence is discussed for Finite Cover Method and some mathematical conditions for linear independence are proposed. The technique of "Shape Voxel" is proposed for integration of stiffness matrix and evaluation of boundary conditions in 3D solid analysis. Numeric examples show that since the model generation using voxel information is very simple, the total analysis becomes more effective. The Finite Cover Method is then applied for large deformation problem, and the re-mesh burden is reduced obviously due to the simple cover distribution. A structural analysis system is developed with the Finite Cover Method, which can process automatically after inputting CAD data. The proposed method can surmount difficulties of model generation in complex 3D solid analysis.

有限覆盖方法和流形方法的特点是定义独立于物理场的近似数学场，其中需要满足偏微分方程。这种逼近是在数学域上用分布覆盖构造的。由于数学场的定义与物理场的几何形状无关，任何复杂的结构都可以简单地用规则形状的数学覆盖来覆盖。体素数据用于覆盖分布，使用正方形或立方体覆盖，从而可以继承体素分析的优点，以提高实体结构分析的效率。讨论了有限覆盖法的线性无关性问题，给出了线性无关性的数学条件。提出了三维实体分析中刚度矩阵集成和边界条件求解的“形状体素”技术。数值算例表明，由于利用体素信息生成模型非常简单，因此整体分析变得更加有效。将有限覆盖法应用于大变形问题，由于覆盖分布简单，大大减少了网格重划的工作量。利用有限覆盖法开发了一个结构分析系统，可在输入CAD数据后自动处理。该方法克服了复杂三维实体分析中模型生成的困难。