OPTIMAL SHAPE DESIGN OF SEVERAL KINDS OF MEMBRANE STRUCTURES
A multi-objective optimization method is presented for optimal shape design of membrane structures.Three objective functions are proposed including maximum stiffness,minimum variation of stress and minimum reaction under external loads.Several non-dimension variables are defined as optimization variables,which are decision factors of shapes of membrane structures.Then Multi-objective Genetic Algorithm is introduced to fmd the Pareto set.Consequently,the dependence of the optimality upon the optimization variables and more valuable information are derived from Pareto set to provide guide on how to select solutions from Pareto set.Using the proposed method,two kinds of typical membrane structures are optimized,including saddle-shape and ridge-valley membrane structures,which are widely applied as a membrane structure or a part of a membrane structure.The optimizations are carried out respectively under snow load,wind load and combined load.Finally,the sets of structure parameters for optimal shape are obtained.The useful and credible advice is given to the design of these kinds of membrane structures.The study in this paper shows that the proposed multi-objective optimization model is feasible and efficient; the research on Pareto solutions can provide explicit and useful guidelines for shape design of membrane structures.
Membrane structures/ shape optimization/ Genetic Algorithm
Bingbing San Yue Wu
College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, P.R.China School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, P.R.China
国际会议
The Twelfth International Symposium on Structural Engineering (第十二届结构工程国际研讨会)
武汉
英文
587-591
2012-11-17（万方平台首次上网日期，不代表论文的发表时间）