基于EFG法的渐进结构拓扑优化研究
发布时间：2019-06-08 18:40
【摘要】：当前，基于无网格方法的拓扑优化虽还处在初步的探讨阶段，应用尚不广泛，但是相对于有限元法而言，无网格法本身具有一些先天性优势，这使得基于无网格法的拓扑优化拥有诱人的前景。基于无网格方法的拓扑优化目前仍存在许多缺点，如计算缺乏稳定性、优化效率较低等。本文以无网格Galerkin数值计算方法为基础，结合渐进结构拓扑优化方法，对二维连续体结构拓扑优化进行了研究，主要研究内容如下： 1.基于有限元ANSYS软件平台，利用其参数化设计语言对二维连续体结构拓扑优化过程进行了编程模拟，通过对渐进结构优化法中材料拒绝率、进化率等参数的不断尝试，初步确定了这些参数的大致选择范围。 2.阐述了基于无网格Ga lerkin法的渐进结构拓扑优化流程；讨论了拓扑优化过程中被删节点对结构分析的影响；针对被删节点对结构分析中关键矩阵的影响，提出了直接剔除被删节点、直接处理形函数与“生死节点”三种处理方法；对每种处理方法，利用MATLAB编程语言，以二维连续体结构为研究对象，编写了基于无网格Galerkin法的渐进结构拓扑优化程序，详细讨论了每种方法的可行性，结果表明直接处理形函数与“生死节点”的处理方法是可行的。 3.对无网格Galerk in法中节点密度、权函数影响域尺寸等参数对拓扑优化结果的影响进行了详细讨论，总结了其规律，给出了选择相应参数的规律性参考。 4.介绍了基于无网格Ga lerkin法及变密度法的拓扑优化原理，比较了该方法与基于无网格Galerkin法的渐进结构拓扑优化方法的优化效率，，结果表明结合无网格Galerkin法及渐进结构拓扑优化法进行拓扑优化能够有效提高无网格拓扑优化效率。 本文以无网格Galerkin法为结构分析方法，结合渐进结构拓扑优化方法，对二维连续体结构的拓扑优化进行了深入的研究，有效地提高了无网格拓扑优化效率。本文的研究为无网格拓扑优化提供了一个新的思路。
[Abstract]:At present, although the topology optimization based on meshless method is still in the preliminary stage of discussion and its application is not extensive, compared with the finite element method, the meshless method itself has some congenital advantages. This makes the topology optimization based on meshless method have attractive prospects. At present, there are still many shortcomings in topology optimization based on meshless method, such as lack of computational stability, low optimization efficiency and so on. Based on the meshless Galerkin numerical calculation method and the progressive structure topology optimization method, the topology optimization of two-dimensional continuum structure is studied in this paper. the main research contents are as follows: 1. Based on the finite element ANSYS software platform, the topology optimization process of two-dimensional continuum structure is simulated by using its parametric design language. Through the continuous attempt of material rejection rate, progress rate and other parameters in the progressive structure optimization method, The approximate selection range of these parameters is preliminarily determined. two銆
本文编号：2495490
[Abstract]:At present, although the topology optimization based on meshless method is still in the preliminary stage of discussion and its application is not extensive, compared with the finite element method, the meshless method itself has some congenital advantages. This makes the topology optimization based on meshless method have attractive prospects. At present, there are still many shortcomings in topology optimization based on meshless method, such as lack of computational stability, low optimization efficiency and so on. Based on the meshless Galerkin numerical calculation method and the progressive structure topology optimization method, the topology optimization of two-dimensional continuum structure is studied in this paper. the main research contents are as follows: 1. Based on the finite element ANSYS software platform, the topology optimization process of two-dimensional continuum structure is simulated by using its parametric design language. Through the continuous attempt of material rejection rate, progress rate and other parameters in the progressive structure optimization method, The approximate selection range of these parameters is preliminarily determined. two銆
本文编号：2495490
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