基于基本形状向量的复杂结构形状优化设计研究
发布时间：2019-06-04 14:41
【摘要】：形状优化设计作为结构优化设计的一个重要分支，可以通过改变区域的几何形状来达到某种约束条件下的最优，并要求某些物理量在边界上满足某种要求，以改善结构的特性。在以往的形状优化设计过程中，很多是把节点坐标和节点坐标组合作为设计变量，这些描述结构形状的方法设计变量多，不易收敛，且在优化迭代过程中易发生网格畸变的一些问题。如何建立一个能够保证结构分析网格不发生畸变，通过较少的设计变量就可以方便而有效地控制和描述复杂形状变化的方法，是一个受到普遍关注的关键课题。 针对目前形状优化设计的难点问题，本文提出一种基于基本形状向量法的复杂结构形状优化设计方法。建立了一套基本形状向量法的优化设计理论模型，对基本形状向量法的关键问题进行了研究，编制了基本形状向量法的分析和优化程序，最后利用编制的分析和优化程序对基本形状向量法进行了实例验证并取得了良好的优化效果。 本文主要完成了以下几个方面的研究： （1）深入研究了结构形状优化的基本理论，对结构形状优化的边界描述方法、设计变量和目标函数的选择、约束条件的确定进行了分析。将基本形状向量的概念引入结构形状优化设计中，研究基本形状优化算法，建立了基于基本向量法结构形状优化设计的优化模型。 （2）对基本形状向量法诸如基本形状独立性的检查，基本形状变化时其内部形状的从属变动问题等关键问题进行了研究，，并通过算例对其进行验证，得出了基本形状向量法在解决具有工艺约束和结构约束的形状设计的优越性。 （3）对基本形状向量生成方法进行了研究，研究了网格划分软件模块开发难点，提出了关联线（面）法、节点均匀化法、映射变化法等几种基本形状向量的生成方法。 （4）深入研究基本形状向量法的分析程序算法和优化算法，并基于基本形状向量法利用C语言进行了分析程序和优化程序的编制。 （5）利用编制的分析程序和优化程序，结合MATLAB、Hyperworks软件对汽轮机叶根齿形和汽车发动机支架进行了形状优化设计。从设计结果来看，对具有结构约束的结构，利用基本形状向量法在改善结构应力、降低结构重量的形状优化设计中可以达到较好的优化效果。
[Abstract]:Shape optimization design, as an important branch of structural optimization design, can achieve the optimization under certain constraint conditions by changing the geometric shape of the region, and some physical quantities are required to meet certain requirements on the boundary in order to improve the characteristics of the structure. In the process of shape optimization design in the past, many of them take the combination of node coordinates and node coordinates as design variables. These methods to describe the shape of the structure have many design variables and are not easy to converge. Some problems of grid distortion are easy to occur in the process of optimization iteration. How to establish a method which can ensure that the structural analysis grid does not distort and can easily and effectively control and describe the complex shape change through fewer design variables is a key topic which has been paid more and more attention. In order to solve the difficult problems of shape optimization design, a shape optimization design method for complex structures based on basic shape vector method is proposed in this paper. A set of optimization design theoretical model of basic shape vector method is established, the key problems of basic shape vector method are studied, and the analysis and optimization program of basic shape vector method are compiled. Finally, the basic shape vector method is verified by the analysis and optimization program, and good optimization results are obtained. In this paper, the following aspects are studied: (1) the basic theory of structural shape optimization, the boundary description method of structural shape optimization, the selection of design variables and objective functions are deeply studied. The determination of constraint conditions is analyzed. The concept of basic shape vector is introduced into structural shape optimization design, the basic shape optimization algorithm is studied, and the optimization model of structural shape optimization design based on basic vector method is established. (2) the key problems of basic shape vector method, such as the inspection of basic shape independence and the subordinate variation of its internal shape when the basic shape changes, are studied and verified by an example. The advantages of the basic shape vector method in solving the shape design with process constraints and structural constraints are obtained. (3) the generation method of basic shape vector is studied, and the development difficulties of grid division software module are studied. Several basic shape vector generation methods, such as correlation line (surface) method, node homogenization method, mapping change method and so on, are put forward. (4) the analysis program algorithm and optimization algorithm of the basic shape vector method are deeply studied, and the analysis program and optimization program are compiled by using C language based on the basic shape vector method. (5) the shape optimization design of turbine blade root tooth profile and automobile engine support is carried out by using the compiled analysis program and optimization program, combined with MATLAB,Hyperworks software. From the design results, the basic shape vector method can be used to improve the structural stress and reduce the weight of the structure in the shape optimization design of the structure with structural constraints.
【学位授予单位】：江苏科技大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH122
本文编号：2492793
[Abstract]:Shape optimization design, as an important branch of structural optimization design, can achieve the optimization under certain constraint conditions by changing the geometric shape of the region, and some physical quantities are required to meet certain requirements on the boundary in order to improve the characteristics of the structure. In the process of shape optimization design in the past, many of them take the combination of node coordinates and node coordinates as design variables. These methods to describe the shape of the structure have many design variables and are not easy to converge. Some problems of grid distortion are easy to occur in the process of optimization iteration. How to establish a method which can ensure that the structural analysis grid does not distort and can easily and effectively control and describe the complex shape change through fewer design variables is a key topic which has been paid more and more attention. In order to solve the difficult problems of shape optimization design, a shape optimization design method for complex structures based on basic shape vector method is proposed in this paper. A set of optimization design theoretical model of basic shape vector method is established, the key problems of basic shape vector method are studied, and the analysis and optimization program of basic shape vector method are compiled. Finally, the basic shape vector method is verified by the analysis and optimization program, and good optimization results are obtained. In this paper, the following aspects are studied: (1) the basic theory of structural shape optimization, the boundary description method of structural shape optimization, the selection of design variables and objective functions are deeply studied. The determination of constraint conditions is analyzed. The concept of basic shape vector is introduced into structural shape optimization design, the basic shape optimization algorithm is studied, and the optimization model of structural shape optimization design based on basic vector method is established. (2) the key problems of basic shape vector method, such as the inspection of basic shape independence and the subordinate variation of its internal shape when the basic shape changes, are studied and verified by an example. The advantages of the basic shape vector method in solving the shape design with process constraints and structural constraints are obtained. (3) the generation method of basic shape vector is studied, and the development difficulties of grid division software module are studied. Several basic shape vector generation methods, such as correlation line (surface) method, node homogenization method, mapping change method and so on, are put forward. (4) the analysis program algorithm and optimization algorithm of the basic shape vector method are deeply studied, and the analysis program and optimization program are compiled by using C language based on the basic shape vector method. (5) the shape optimization design of turbine blade root tooth profile and automobile engine support is carried out by using the compiled analysis program and optimization program, combined with MATLAB,Hyperworks software. From the design results, the basic shape vector method can be used to improve the structural stress and reduce the weight of the structure in the shape optimization design of the structure with structural constraints.
【学位授予单位】：江苏科技大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH122
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