OPTIMIZATION FOR INTIAL TENSION FOR CABLE STRUCTURES -COMPARISON OF FOUR ANALYTICAL PROCEDURES-

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Publication year 1998
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Title OPTIMIZATION FOR INTIAL TENSION FOR CABLE STRUCTURES -COMPARISON OF FOUR ANALYTICAL PROCEDURES-
Author Akihiro Sugiuchi,Minger Wu,Ken'ichiK awaguchi,Yasuhiko Hangai
Summary In this paper,Four different analytical methods to obtain the optimal self-equilibrated tension of cable structures are compared. The methods arc based on (Ⅰ)the Inverse Vriational Principle[1],(Ⅱ)Minimization of displacement norm using nonlinear programming,(Ⅲ)Maximization of the least natural frequency[2][3), and(Ⅳ)a variation of the Gas[4],respectively.(Ⅰ) and (Ⅱ)are further extended to include nonlinear structural analysis. Formation for nonlinear problems of the method (Ⅰ) is established for cable structures. The analytical cable structure model in the paper has five independent pre-stress modes. The identical model is calculated in the method (Ⅰ),(Ⅱ),and(Ⅲ), while the slightly different model is used in the method (Ⅳ). The differences in the four methods,efficiency of linear structural analysis,the relation between the method(Ⅲ)and load conditions,and the advantage of the use of symmetric pre-stress modes for symmetric problems are discussed.