本文選題：空間桁架 + 拓?fù)鋬?yōu)化　； 參考：《武漢科技大學(xué)》2014年碩士論文

【摘要】：剛桁架結(jié)構(gòu)具有自重輕、承載力強(qiáng)、施工方便快捷等優(yōu)點(diǎn)，廣泛應(yīng)用于工程結(jié)構(gòu)中。目前大多數(shù)桁架結(jié)構(gòu)設(shè)計(jì)都是根據(jù)建筑外觀需求，，結(jié)合工程師經(jīng)驗(yàn)進(jìn)行設(shè)計(jì)，這種設(shè)計(jì)方式周期長(zhǎng)、變數(shù)大、修改頻繁，而且結(jié)構(gòu)很難找出最優(yōu)化方案。這使得結(jié)構(gòu)的可靠性和經(jīng)濟(jì)性都難以得到保障。 本文采用拓?fù)鋬?yōu)化的方法將本應(yīng)屬于離散體拓?fù)鋬?yōu)化設(shè)計(jì)的桁架優(yōu)化問(wèn)題轉(zhuǎn)化為連續(xù)體拓?fù)鋬?yōu)化問(wèn)題。均勻化方法和變密度法是目前商業(yè)有限元軟件實(shí)現(xiàn)拓?fù)鋬?yōu)化功能最常用的兩種方法。本文重點(diǎn)介紹了均勻化方法和變密度法的基本概念和方法，建立拓?fù)鋬?yōu)化的數(shù)學(xué)模型，并重點(diǎn)介紹兩者方法的有限元實(shí)現(xiàn)過(guò)程和方法。在此基礎(chǔ)上將這兩種方法應(yīng)用于移動(dòng)載荷作用下的起重臂桁架的概念設(shè)計(jì)和大跨度空間桁架結(jié)構(gòu)的優(yōu)化設(shè)計(jì)。其中將空間桁架拓?fù)鋬?yōu)化結(jié)果轉(zhuǎn)化為具體的優(yōu)化設(shè)計(jì)方案，并與原設(shè)計(jì)方案進(jìn)行對(duì)比分析。 通過(guò)優(yōu)化方案與原方案的對(duì)比分析顯示：使用拓?fù)鋬?yōu)化方法進(jìn)行概念設(shè)計(jì)后的結(jié)構(gòu)具有更好的力學(xué)性能和更低的材料用量。這表明拓?fù)鋬?yōu)化方法對(duì)提高結(jié)構(gòu)設(shè)計(jì)效率、提高工程質(zhì)量、降低工程造價(jià)都具有重要意義。
[Abstract]:Rigid truss structure is widely used in engineering structure because of its advantages of light weight, strong bearing capacity, convenient construction and so on. At present, most truss structure design is based on the architectural appearance requirements, combined with the experience of engineers. This design method has long period, large variables, frequent modification, and the structure is difficult to find out the optimal scheme. This makes it difficult to ensure the reliability and economy of the structure. In this paper, the topology optimization method is used to transform the truss optimization problem, which should belong to the discrete body topology optimization design, into the continuum topology optimization problem. The homogenization method and the variable density method are the two most commonly used methods to realize topology optimization by commercial finite element software. In this paper, the basic concepts and methods of homogenization method and variable density method are introduced, and the mathematical model of topology optimization is established. On this basis, the two methods are applied to the conceptual design of the lifting arm truss under moving load and the optimization design of the large-span spatial truss structure. The results of topological optimization of space truss are transformed into concrete optimal design scheme, and compared with the original design scheme. The comparison between the optimization scheme and the original scheme shows that the structure designed by topological optimization method has better mechanical properties and lower material consumption. This indicates that the topology optimization method is of great significance to improve the efficiency of structural design, improve the quality of engineering and reduce the project cost.
【學(xué)位授予單位】：武漢科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TU323.4

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