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單層網(wǎng)殼結(jié)構(gòu)彈塑性穩(wěn)定性和優(yōu)化設(shè)計研究
薛慧立,甘明,柯長華,石永久
摘 要
(1 北京市建筑設(shè)計研究院,100045;2 清華大學(xué),北京100084)
[提要]以民航博物館不規(guī)則連續(xù)單層網(wǎng)殼結(jié)構(gòu)為例,對單層網(wǎng)殼考慮彈塑性穩(wěn)定性和優(yōu)化設(shè)計進(jìn)行探討。比較了各荷載工況作用下的幾何非線性極限承載力、彈塑性非線性極限承載力與荷載標(biāo)準(zhǔn)值之比和線彈性外力勢能的分布規(guī)律,初步探討了在諸多荷載組合工況中選擇單層網(wǎng)殼結(jié)構(gòu)彈塑性穩(wěn)定極限承載力控制工況的方法。探討單層網(wǎng)殼考慮彈塑性穩(wěn)定優(yōu)化設(shè)計的實(shí)用簡化方法,提出了桿件截面優(yōu)化的應(yīng)力比縮減分層法,使復(fù)雜的優(yōu)化設(shè)計問題簡單化。
[關(guān)鍵詞]單層網(wǎng)殼;穩(wěn)定分析;幾何非線性;彈塑性屈曲;優(yōu)化設(shè)計
Study on Elastic plastic Stability and Design Optimization of Single layer Latticed Shell Structure/Xue Huili1,Gan Ming1, Ke Changhua1,Shi Yongjiu2(1 Beijing Institute of Architectural Design,Beijing 100045,China;2 Tsinghua University,Beijing 100084,China)
Abstract:Taking the irregular multiple span single layer latticed shell structure applied in China Civil Aviation Museum as the case example, it researches the elastic plastic stability and design optimization of single layer latticed shell structure.Among all load combinations,a comparison of the distribution patterns of the following is completed.The ratio of the geometrically non linearity ultimate bearing capacity to the characteristic value of load, the ratio of the elastic plastic non linearity ultimate bearing capacity to the characteristic value of load, and the potential energy,are studied. To search for the method of choosing dominant load combination from the combined loads for the ultimate bearing capacity of elastic plastic stability of single layer latticed shell structure,and find the practical method of simplification for design optimization of elastic plastic stability of single layer latticed shell structure,the stratification, method and stress ratio reducing method are proposed for the optimization of member section, which makes the complicated design optimization simply.
Keywords:single layer latticed shell; stability; geometrical non linearity; elastic plastic buckling; design optimization
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