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(北京工業(yè)大學(xué)建工學(xué)院 100022)
【提要】 提出了把近似滿應(yīng)力設(shè)計(jì)方法、弧長(zhǎng)法和相對(duì)差商法結(jié)合起來的改進(jìn)的離散變量?jī)杉?jí)優(yōu)化方法，給出了同時(shí)考慮應(yīng)力約束、位移約束和結(jié)構(gòu)整體穩(wěn)定性約束的優(yōu)化算法。在考慮幾何非線性的基礎(chǔ)上，研究了單層網(wǎng)殼結(jié)構(gòu)以結(jié)構(gòu)質(zhì)量最輕為目標(biāo)函數(shù)的優(yōu)化問題，編制了相應(yīng)的計(jì)算程序，并通過算例進(jìn)行了分析驗(yàn)證。
【關(guān)鍵詞】 離散變量 優(yōu)化方法 近似滿應(yīng)力設(shè)計(jì) 弧長(zhǎng)法 相對(duì)差商法 幾何非線性
Optimum Design of Singlelayer Lattice Shells Considering Structural Whole Stability/Li Yongmei,Zhang Yigang(College of Civil Engineering and Architecture,Beijing University of Technology,Beijing 100022,China)
Abstract:An advanced 2level optimization method is presented for the structural optimum
design with discrete variables,which is combined with  approximate fullstress design method,arclength method and relative difference quotient method.Not only under stress and section size constraints can it be directly calculated,but also under stability and displacement constraints can it be dealt with by this method for the structural optimum design with discrete variables.Taken the structure mass as an objective function,the structural optimum is studied for singlelayer lattice shells based on structural geometrical nonlinearity.A relevant computer program is developed for the method.The method is illustrated by a numerical example and the result of the example shows that the method is efficient.
Keywords:discrete variables; advanced 2level optimization method; approximate fullstress design; arclength method; relative difference quotient method; geometrical nonlinearity

*國(guó)家自然科學(xué)基金(50278004)資助項(xiàng)目。