本文關鍵詞：基于積分型總極值的機械結構優(yōu)化設計方法研究　出處：《天津科技大學》2014年碩士論文　論文類型：學位論文

  更多相關文章： 結構優(yōu)化設計 積分型總極值 全局優(yōu)化 ANSYS 二次開發(fā)

【摘要】：本文從工程實際應用出發(fā),在汲取前人關于積分型總極值數值優(yōu)化方法IGOM (Integral Global Optimization Method)理論研究成果和成功的數學應用的基礎上,結合商用CAE分析軟件ANSYS的APDL語言,研究和實現(xiàn)了以ANSYS為求解器的IGOM優(yōu)化算法在機械結構優(yōu)化設計中的應用。首先,在MATLAB平臺上將IGOM優(yōu)化算法原理轉化成程序語言,通過對一些數學優(yōu)化問題的求解,證實了該方法的有效性和通用性。在此過程中,還對影響IGOM優(yōu)化算法的一般隨機數撒點和擬隨機數撒點方法進行了比較,確定了擬隨機數撒點的高效性和誤差確定性。對于優(yōu)化設計的數學模型處理,本文采用了變量與函數歸一化、約束函數凝聚化等處理方法,從而規(guī)范了數學模型表達,方便了計算處理,并大大減少了優(yōu)化約束的規(guī)模,實踐也證明了這些處理的優(yōu)越性和工程實用性。其次,在MATLAB平臺上將自己編寫的桁架有限元分析程序與IGOM優(yōu)化算法結合起來,通過對桿桁架的尺寸優(yōu)化、尺寸和形狀組合優(yōu)化經典例題的求解以及與其他優(yōu)化算法的結果對比,證實了IGOM優(yōu)化方法在工程實際中應用的可行性和有效性。然后,在ANSYS平臺上,將IGOM優(yōu)化算法應用到桁架和連續(xù)體的結構優(yōu)化設計中。為了體現(xiàn)程序算法的通用性和可移植性,本文使用了模塊化的編程思想,并使用APDL語言編寫了各模塊的宏程序文件。本文系統(tǒng)研究了ANSYS的各種數據接口文件結構,順利實現(xiàn)各個模塊之間的數據交流。通過對幾種典型的桁架結構和連續(xù)體的結構優(yōu)化設計計算以及與ANSYS等其他優(yōu)化算法得到的結果對比,證明了IGOM優(yōu)化方法在ANSYS平臺上二次開發(fā)的可行性、有效性和實用性。最后,針對IGOM優(yōu)化算法計算量大的不足,本文給出了一些可行性很強的工程數值方法,包括Kriging插值法、結構重分析以及Epsilon加速收斂等,并對這些方法進行了簡單的理論概述和在數值分析與桁架結構分析中的簡單應用。在后續(xù)的學習和研究工作中,這些方法的成功使用必定帶來IGOM結構優(yōu)化算法效率的重大飛躍。
[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.
【學位授予單位】：天津科技大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TH122

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本文編號：1431059