基于改进进化论的连续体结构拓扑优化研究

发布时间：2018-05-18 08:37

本文选题：连续体结构拓扑优化 + 渐进结构优化　；参考：《东南大学》2015年硕士论文

【摘要】：连续体结构拓扑优化是结构优化中的难点和热点问题,也是结构优化领域的前沿课题之一,本文以连续体结构为研究对象,重点研究解决材料在连续体结构设计空间的分布优化的问题。渐进结构优化法作为连续体结构拓扑优化的重要方法之一备受关注,发展和完善这一方法,并将其引入工程应用是非常有意义的课题。围绕渐进结构优化,本文进行了以下几个方面的工作：1.深入学习与研究各类连续体结构拓扑优化方法后,本文总结了几种主流方法的基本理论与应用成果,了解常用的拓扑优化方法的数学建模方式,为后续的拓扑优化程序的实现打下理论基础；2.本文详细介绍了渐进结构优化法的基本思想、删除准则、进化策略以及近些年来的发展,并以科学的方法对其进行归纳分类,对该方法中重要的概念以及公式进行了解释以及推导;3.本文重点研究了渐进结构优化法中的数值不稳定现象,对其中的棋盘格效应的处理办法进行了研究并加以总结概括,并就方法中的敏度过滤法进行重点介绍,并围绕敏度过滤法对渐进结构优化法进行了改进,提出了一种更加科学高效的敏度过滤方式,很好地解决棋盘格效应问题；4.本文以改进后的渐进结构优化方法为算法核心,以ANSYS为软件基础,充分利用该软件的二次开发和生死单元功能,编制了属于本文的渐进结构优化程序,并利用多个算例证明了所编程序的可靠性、进步性以及工程实用性,在实际的工程设计中有一定的借鉴作用。
[Abstract]:Topology optimization of continuum structure is a difficult and hot problem in structural optimization, and it is also one of the frontier topics in the field of structural optimization. In this paper, continuum structure is taken as the research object. Emphasis is placed on the optimization of the distribution of materials in the design space of continuum structures. As one of the most important methods for topology optimization of continuum structure, progressive structural optimization method has attracted much attention. It is of great significance to develop and perfect this method and to introduce it into engineering application. Focusing on the asymptotic structural optimization, this paper has carried out the following several aspects of work: 1. After deeply studying and studying various topology optimization methods of continuum structure, this paper summarizes the basic theories and application results of several mainstream methods, and finds out the mathematical modeling methods of common topology optimization methods. Lay a theoretical foundation for the subsequent implementation of the topology optimization program. This paper introduces in detail the basic idea of progressive structural optimization, deletion criteria, evolutionary strategies and the development in recent years, and induces and classifies them in a scientific way. The important concepts and formulas in this method are explained and deduced. In this paper, the numerical instability in the progressive structural optimization method is mainly studied, and the methods to deal with the chessboard lattice effect are studied and summarized, and the sensitivity filtering method in the method is introduced emphatically. A more scientific and efficient sensitivity filtering method is proposed to solve the problem of checkerboard lattice effect. In this paper, the improved progressive structure optimization method is taken as the core of the algorithm, and the software ANSYS is used as the software foundation. The program of the progressive structure optimization is compiled by making full use of the secondary development of the software and the function of the unit of life and death. The reliability, progressiveness and practicability of the program are proved by several examples, which can be used for reference in practical engineering design.
【学位授予单位】：东南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU318

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