Mixed TANA-TDQA''s Two-points Approximation in StructuralEngineering Optimization

• Main Authors: Chen-Yi Lin, 林俊毅
• Other Authors: 史建中
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/42198759048562162182

碩士 === 淡江大學 === 機械與機電工程學系碩士班 === 101 === Approximation technique can be applied for solving large scale structural optimization problems. Most structural optimization contains monotonic and non-monotonic behavior functions that seriously influences the computational efficiency. Mixed approximation method has been recognized as an effective way of dealing with this monotonicity behavior. Most published paper mentioned MMA series mixed approximation method. In this thesis, a mixed approximation function with TANA-TDQA series has be presented. The TANA approximation can well handle non-monotonic function. The TDQA can well handle monotonic function. This thesis presents two mixed approximation function TANA3-TDQA2 and TANA1-TDQA2. A numerical examples used to investigate TANA-TDQA series and also compare with individual TANA and TDQA. The error of TANA-TDQA function is generally less then individual TANA or TDQA function. Several relative simple structures are presented to illustrate how the TANA-TDQA optimization works. The finite element and analysis (ANSYS) and design optimization (Visual Doc) are integrated for solving the problem. It can be seen that the number of finite element analysis can be reduced. Three large-scale design problems are applied for further examing the performance of presenting TANA-TDQA function. The steel building structural design shows the presented approximation methods are efficient and accurate. The optical instrumental structure contain two design objectives. The micro thermal-actuator structure requires to find the maximum displacement for grasping human cell. This problem only spend about 2 hours in stead of 6 hours ,as compare with original work. TANA3-TDQA2 is the most recommended from this study, since it is more efficient than TANA1-TDQA2.