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雙層柱面網(wǎng)殼形狀優(yōu)化設(shè)計(jì)及穩(wěn)定性分析

發(fā)布時(shí)間:2018-08-12 19:50
【摘要】:網(wǎng)殼結(jié)構(gòu)是由桿件沿著某個(gè)曲面有規(guī)律地布置并通過(guò)結(jié)點(diǎn)連接起來(lái)而組成的空間結(jié)構(gòu)體系,它兼有桿系結(jié)構(gòu)和薄殼結(jié)構(gòu)的固有特性,覆蓋跨度大、受力合理、造型優(yōu)美且富有藝術(shù)表現(xiàn)力,是當(dāng)前大、中跨建筑中應(yīng)用廣泛的一類(lèi)空間結(jié)構(gòu)形式。 結(jié)構(gòu)優(yōu)化設(shè)計(jì)就是在給定的條件下從眾多可行的方案中尋求優(yōu)化的最好方案。它是根據(jù)各種實(shí)際工程結(jié)構(gòu)問(wèn)題建立相應(yīng)數(shù)學(xué)模型,利用最優(yōu)化技術(shù),尋找在滿(mǎn)足各種約束條件下的最優(yōu)解。與傳統(tǒng)設(shè)計(jì)相比,由于其具有設(shè)計(jì)合理、節(jié)省材料等優(yōu)點(diǎn)而受到國(guó)內(nèi)外工程界的廣泛重視。 本文對(duì)雙層柱面網(wǎng)殼進(jìn)行了形狀優(yōu)化,并對(duì)優(yōu)化后的正放四角錐柱面網(wǎng)殼進(jìn)行穩(wěn)定性分析。首先運(yùn)用大型有限元分析軟ALGOR對(duì)雙層柱面網(wǎng)殼進(jìn)行靜力分析,得到了柱面網(wǎng)殼結(jié)在不同矢跨比和厚跨比下的受力特性和位移特性,為接下來(lái)的雙層柱面網(wǎng)殼結(jié)構(gòu)形狀優(yōu)化初始宏觀曲面參數(shù)和桿件截面的選取提供依據(jù)。 然后針對(duì)雙層柱面網(wǎng)殼結(jié)構(gòu)的特點(diǎn),提出了雙層柱面網(wǎng)殼結(jié)構(gòu)形狀優(yōu)化的兩級(jí)算法。第一級(jí)優(yōu)化中固定結(jié)構(gòu)的幾何外形,采用離散變量的一維搜索法和相對(duì)差商法進(jìn)行截面優(yōu)化;在第二級(jí)優(yōu)化中,針對(duì)雙層柱面網(wǎng)殼節(jié)點(diǎn)眾多的特點(diǎn),將設(shè)計(jì)變量由節(jié)點(diǎn)坐標(biāo)轉(zhuǎn)化為結(jié)構(gòu)宏觀曲面形狀參數(shù),以結(jié)構(gòu)的矢高和厚度作為設(shè)計(jì)變量,采用連續(xù)變量的優(yōu)化方法一復(fù)形法進(jìn)行形狀優(yōu)化,并通過(guò)算例驗(yàn)證了算法的有效性和可靠性。接下來(lái)利用上述算法對(duì)工程中常用的五種雙層柱面網(wǎng)殼進(jìn)行形狀優(yōu)化設(shè)計(jì),得到了不同跨度、不同網(wǎng)格劃分的雙層柱面網(wǎng)殼的最優(yōu)矢跨比和厚跨比,以及優(yōu)化后的雙層柱面網(wǎng)殼結(jié)構(gòu)單位用鋼量,這對(duì)雙層柱面網(wǎng)殼的設(shè)計(jì)和選型具有一定的參考價(jià)值。 網(wǎng)殼結(jié)構(gòu)穩(wěn)定性是結(jié)構(gòu)設(shè)計(jì)中的關(guān)鍵問(wèn)題,單層網(wǎng)殼和厚度較小的雙層網(wǎng)殼都有失穩(wěn)的可能,尤其當(dāng)跨度較大時(shí),穩(wěn)定問(wèn)題會(huì)較為突出。最后本文利用ALGOR軟件對(duì)優(yōu)化前后的正放四角錐柱面網(wǎng)殼進(jìn)行線(xiàn)性和非線(xiàn)性屈曲分析,確定網(wǎng)殼結(jié)構(gòu)優(yōu)化后的屈曲荷載及屈曲模態(tài),驗(yàn)證形狀優(yōu)化后的雙層柱面網(wǎng)殼結(jié)構(gòu)的安全性和可靠性。
[Abstract]:The reticulated shell structure is a space structure system which is arranged regularly by the members along a curved surface and connected by the nodes. It has the inherent characteristics of both the rod system structure and the thin shell structure. Beautiful shape and rich artistic expressiveness, is a kind of space structure form which is widely used in large, medium span architecture at present. Structural optimization design is to seek the best scheme from many feasible schemes under given conditions. It is based on various practical engineering structural problems to establish the corresponding mathematical model, using the optimization technology to find the optimal solution under various constraints. Compared with the traditional design, it has been widely paid attention to by the engineering circles at home and abroad because of its advantages of reasonable design and material saving. In this paper, the shape of double layer cylindrical reticulated shell is optimized, and the stability of the optimized cylindrical shell is analyzed. Firstly, the static analysis of double-layer cylindrical latticed shells is carried out by using large scale finite element analysis soft ALGOR, and the stress and displacement characteristics of cylindrical reticulated shells under different ratio of span to vector and thickness to span are obtained. It provides the basis for the optimization of the initial macroscopic surface parameters and the selection of the member section of the double-layer cylindrical reticulated shell structure. Then, according to the characteristics of double-layer cylindrical reticulated shell structure, a two-level algorithm for shape optimization of double-layer cylindrical reticulated shell structure is proposed. In the first stage optimization, the geometric shape of the fixed structure is optimized by using the one-dimensional search method of discrete variables and the relative difference quotient method, and in the second stage optimization, aiming at the characteristics of numerous nodes of double-layer cylindrical reticulated shell, The design variables are transformed from nodal coordinates to structural macroscopic surface shape parameters. The vector height and thickness of the structure are taken as design variables, and the optimization method of continuous variables, complex method, is used to optimize the shape. The validity and reliability of the algorithm are verified by an example. Then the shape optimization design of five kinds of double-layer cylindrical latticed shells commonly used in engineering is carried out by using the above algorithm, and the optimal vector span ratio and thickness span ratio of double-layer cylindrical reticulated shells with different spans and different meshes are obtained. The optimized steel content of double-layer cylindrical reticulated shell has certain reference value for the design and selection of double-layer cylindrical reticulated shell. The stability of latticed shell structure is a key problem in structural design. Both single-layer latticed shell and double-layer latticed shell with small thickness are likely to be unstable, especially when the span is large, the stability problem will be more prominent. Finally, the linear and nonlinear buckling analysis of the cylindrical reticulated shells with four corners before and after optimization is carried out by using ALGOR software, and the buckling loads and buckling modes of the reticulated shells are determined. The security and reliability of the double layer cylindrical reticulated shell with optimized shape are verified.
【學(xué)位授予單位】:山東建筑大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2011
【分類(lèi)號(hào)】:TU399

【引證文獻(xiàn)】

相關(guān)會(huì)議論文 前1條

1 李芳靜;戴國(guó)欣;傅秋妮;高沛峻;倪韶萍;;李渡體育中心體育館鋼結(jié)構(gòu)屋蓋設(shè)計(jì)[A];鋼結(jié)構(gòu)工程研究(九)——中國(guó)鋼結(jié)構(gòu)協(xié)會(huì)結(jié)構(gòu)穩(wěn)定與疲勞分會(huì)第13屆(ISSF-2012)學(xué)術(shù)交流會(huì)暨教學(xué)研討會(huì)論文集[C];2012年

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本文編號(hào):2180173

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