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(1 北京工業(yè)大學(xué)建筑工程學(xué)院，100022； 2 河北建筑工程學(xué)院。張家口075024)
［提要］對(duì)影響多索預(yù)應(yīng)力桁架結(jié)構(gòu)優(yōu)化設(shè)計(jì)的變量，包括索力值和截面尺寸進(jìn)行研究?？紤]了預(yù)應(yīng)力作用階段及預(yù)應(yīng)力和荷載共同作用階段的性態(tài)約束條件，建立了以結(jié)構(gòu)重量最小為目標(biāo)函數(shù)的數(shù)學(xué)優(yōu)化模型。在求解方法上，用滿應(yīng)力準(zhǔn)則法確定索力值和截面尺寸并將索力值的求解轉(zhuǎn)化為線性規(guī)劃模型。算例表明，方法具有較好的計(jì)算效率和收斂性。
［關(guān)鍵詞］預(yù)應(yīng)力桁架結(jié)構(gòu)；索力值優(yōu)化；截面尺寸優(yōu)化；線性規(guī)劃
Optimization Design of Prestressed Truss Structures with Multiple Cables/Yang Haijun1,2, Zhang Ailin1 (1 Architecture & Civil Engineering Department, Beijing University of Technology，Beijing 100022, China; 2 Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075024, China)
AAbstractIt is discussed the optimization design of multiple cables supported prestressed truss with its design variables including cables pretension force and crosssectional size. The constraint conditions of the stage of applying prestress and the stage of applying prestress and load together are considered, and the mathematics model is founded with its objective function to minimize the structural weight. In order to solve the problem, the fully stressed criterion is applied to calculate crosssectional size and pretension force of cables and then change the solution of cables pretension force into linear programming mathematics model.The examples indicate that the method is effective and convergent.
Keywords:prestressed truss structure; pretension force optimization; crosssectional size optimization; linear programming
*國家自然科學(xué)基金資助項(xiàng)目(50678012)；北京市科委科技奧運(yùn)專項(xiàng)資助項(xiàng)目(Z0005191040111)。