基于积分型总极值的机械结构优化设计方法研究

发布时间：2018-01-16 02:08

本文关键词：基于积分型总极值的机械结构优化设计方法研究　出处：《天津科技大学》2014年硕士论文　论文类型：学位论文

【摘要】：本文从工程实际应用出发,在汲取前人关于积分型总极值数值优化方法IGOM (Integral Global Optimization Method)理论研究成果和成功的数学应用的基础上,结合商用CAE分析软件ANSYS的APDL语言,研究和实现了以ANSYS为求解器的IGOM优化算法在机械结构优化设计中的应用。首先,在MATLAB平台上将IGOM优化算法原理转化成程序语言,通过对一些数学优化问题的求解,证实了该方法的有效性和通用性。在此过程中,还对影响IGOM优化算法的一般随机数撒点和拟随机数撒点方法进行了比较,确定了拟随机数撒点的高效性和误差确定性。对于优化设计的数学模型处理,本文采用了变量与函数归一化、约束函数凝聚化等处理方法,从而规范了数学模型表达,方便了计算处理,并大大减少了优化约束的规模,实践也证明了这些处理的优越性和工程实用性。其次,在MATLAB平台上将自己编写的桁架有限元分析程序与IGOM优化算法结合起来,通过对杆桁架的尺寸优化、尺寸和形状组合优化经典例题的求解以及与其他优化算法的结果对比,证实了IGOM优化方法在工程实际中应用的可行性和有效性。然后,在ANSYS平台上,将IGOM优化算法应用到桁架和连续体的结构优化设计中。为了体现程序算法的通用性和可移植性,本文使用了模块化的编程思想,并使用APDL语言编写了各模块的宏程序文件。本文系统研究了ANSYS的各种数据接口文件结构,顺利实现各个模块之间的数据交流。通过对几种典型的桁架结构和连续体的结构优化设计计算以及与ANSYS等其他优化算法得到的结果对比,证明了IGOM优化方法在ANSYS平台上二次开发的可行性、有效性和实用性。最后,针对IGOM优化算法计算量大的不足,本文给出了一些可行性很强的工程数值方法,包括Kriging插值法、结构重分析以及Epsilon加速收敛等,并对这些方法进行了简单的理论概述和在数值分析与桁架结构分析中的简单应用。在后续的学习和研究工作中,这些方法的成功使用必定带来IGOM结构优化算法效率的重大飞跃。
[Abstract]:This paper starts from the practical application of engineering. IGOM integral Global Optimization method for integral total extremum numerical optimization is derived from previous studies. Theoretical research results and successful mathematical applications based on. Combined with the APDL language of commercial CAE analysis software ANSYS, the application of IGOM optimization algorithm with ANSYS as solver in mechanical structure optimization design is studied and implemented. The principle of IGOM optimization algorithm is transformed into program language on MATLAB platform. The validity and versatility of this method are proved by solving some mathematical optimization problems. In addition, the general random number scatter point and the quasi-random number scatter point method which affect the IGOM optimization algorithm are compared, and the efficiency and error certainty of the quasi-random number scatter point are determined. The mathematical model of the optimization design is dealt with. In this paper, variable and function normalization, constraint function condensation and other processing methods are used to standardize the mathematical model expression, facilitate the calculation and processing, and greatly reduce the scale of optimization constraints. The practice also proves the superiority and practicability of these methods. Secondly, the author combines the finite element analysis program written by himself with the IGOM optimization algorithm on the MATLAB platform. Through the optimization of the dimensions of truss, the solution of the classical example of the combination optimization of dimensions and shapes and the comparison with the results of other optimization algorithms. The feasibility and effectiveness of the IGOM optimization method in engineering practice are verified. Then, on the ANSYS platform. The IGOM optimization algorithm is applied to the structural optimization design of truss and continuum. In order to reflect the generality and portability of the program algorithm, the modular programming idea is used in this paper. The macro program files of each module are compiled by using APDL language. In this paper, the structure of various data interface files of ANSYS is systematically studied. Through several typical truss structure and continuum structure optimization design calculation and comparison with other optimization algorithms such as ANSYS. The feasibility, validity and practicability of the secondary development of IGOM optimization method on ANSYS platform are proved. Finally, the shortage of IGOM optimization algorithm is analyzed. In this paper, some engineering numerical methods with strong feasibility are given, including Kriging interpolation, structural reanalysis and Epsilon acceleration convergence. A simple theoretical overview of these methods and simple application in numerical analysis and truss structure analysis are given. The successful use of these methods will bring about a great leap in the efficiency of IGOM structure optimization algorithms.
【学位授予单位】：天津科技大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TH122

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