本文關(guān)鍵詞：平面墻體樹狀骨架結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)研究　出處：《哈爾濱工業(yè)大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

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【摘要】：墻體樹狀骨架結(jié)構(gòu)是將樹狀結(jié)構(gòu)作為墻體的骨架,不僅承受屋面或樓面?zhèn)鬟f來的荷載以及墻面自重荷載,而且同時裝飾墻體達(dá)到視覺美觀要求的創(chuàng)新結(jié)構(gòu)。墻體作為表皮結(jié)構(gòu)的一種,其形式往往比較單一,樹狀結(jié)構(gòu)以其形態(tài)優(yōu)美和受力合理的特點已經(jīng)在建筑主體結(jié)構(gòu)中應(yīng)用較多,但將其應(yīng)用到墻體的實例幾乎沒有,本文是將樹狀結(jié)構(gòu)應(yīng)用到墻體以追求力和美完美結(jié)合的一種探索,旨在為表皮結(jié)構(gòu)的發(fā)展提供一種新的思路。本文主要開展了下列工作:建立了一種平面墻體樹狀骨架結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法。首先根據(jù)分形理論的LS生成方法編制程序,實現(xiàn)可以通過改變?nèi)我廨斎雲(yún)?shù)生成不同的樹狀分形圖;考慮到平面墻體樹狀骨架結(jié)構(gòu)的桿件之間不可以出現(xiàn)雙層交叉的現(xiàn)象,對樹狀分形圖中重合部分和相交線進(jìn)行適當(dāng)處理;為了將樹狀分形圖應(yīng)用于墻體,根據(jù)建筑約束條件適當(dāng)修改其外部形狀,完成墻體樹狀骨架結(jié)構(gòu)的拓?fù)潢P(guān)系的確定。其次為了在有限元分析的過程中將墻體所承受的荷載傳遞到墻體樹狀骨架結(jié)構(gòu),根據(jù)Delaunay三角剖分的Lawson算法編制程序,實現(xiàn)任意平面的三角網(wǎng)格劃分;考慮到對墻面進(jìn)行Delaunay三角剖分時,需要保持墻體樹狀骨架結(jié)構(gòu)的形態(tài),在程序中加入二維限定條件。再次從結(jié)構(gòu)應(yīng)變能和剛度的關(guān)系出發(fā),將墻體應(yīng)變能作為目標(biāo)函數(shù),推導(dǎo)出節(jié)點應(yīng)變能敏感度的計算公式;根據(jù)節(jié)點應(yīng)變能敏感度的特性對墻體樹狀骨架結(jié)構(gòu)的節(jié)點進(jìn)行逐步調(diào)整,使其在外形優(yōu)美的同時受力更加合理,完成墻體樹狀骨架結(jié)構(gòu)的形狀優(yōu)化。最后基于墻體樹狀骨架結(jié)構(gòu)形狀優(yōu)化的結(jié)果,根據(jù)桿件強度、穩(wěn)定性和長細(xì)比的條件對其進(jìn)行截面優(yōu)化,實現(xiàn)材料的高效利用。通過具體的算例分析所建立的墻體樹狀骨架結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法的特點和適用性。在形狀優(yōu)化的過程中,隨著整個墻體應(yīng)變能的下降,墻體的位移變小,墻體樹狀骨架結(jié)構(gòu)的彎矩和剪力也相應(yīng)減小,但其軸力基本保持不變;墻體樹狀骨架結(jié)構(gòu)經(jīng)過形狀優(yōu)化后可以達(dá)到以軸力為主的受力狀態(tài),說明了通過分形理論確定的樹狀拓?fù)潢P(guān)系是合理的;截面優(yōu)化使墻體骨架結(jié)構(gòu)的應(yīng)力均勻。通過改變分形文法中的任意參數(shù)可以得到不同的樹狀分形圖,將其做適當(dāng)處理后即可得到初始單層單主干墻體樹狀骨架結(jié)構(gòu),再經(jīng)過復(fù)制平移也可得到多主干、單層和多層結(jié)構(gòu),本文通過多個算例驗證了所建立方法的可行性、合理性、高效性、經(jīng)濟性和通用性。最后給出一些應(yīng)用實例,說明了研究的意義和價值。
[Abstract]:The tree-like skeleton structure of the wall takes the tree structure as the skeleton of the wall, which not only bears the load from the roof or floor, but also the self-weight load of the wall. And at the same time decorative wall to achieve visual aesthetic requirements of the innovative structure. As a skin structure, its form is often relatively simple. The tree structure has been widely used in the main structure of the building because of its beautiful shape and reasonable force, but there are few examples of applying it to the wall. This paper is to apply the tree structure to the wall in order to pursue the perfect combination of force and beauty. In order to provide a new way of thinking for the development of epidermal structure, this paper mainly carried out the following work:. In this paper, a method of creating the shape of the tree-like skeleton structure of the planar wall is established. Firstly, the program is compiled according to the LS generation method of fractal theory. Different tree fractal images can be generated by changing any input parameters. Considering that there is no double layer crossing between the members of the tree skeleton structure of the plane wall, the overlapping part and the intersection line in the tree fractal image are properly treated. In order to apply the tree fractal graph to the wall, the external shape of the wall is modified according to the constraints of the building. The topological relationship of the tree skeleton structure of the wall is determined. Secondly, in order to transfer the load of the wall to the tree skeleton structure of the wall in the process of finite element analysis. According to the Lawson algorithm of Delaunay triangulation, the triangulation of any plane is realized. Considering the Delaunay triangulation of the wall surface, it is necessary to maintain the shape of the tree skeleton structure of the wall, and to add two dimensional conditions in the program. Again, the relationship between the strain energy and the stiffness of the structure is considered. The strain energy of the wall is taken as the objective function and the formula for calculating the sensitivity of the joint strain energy is derived. According to the sensitivity of the joint strain energy, the joint of the wall tree skeleton structure is adjusted step by step to make it more reasonable in the beautiful shape at the same time. Finally, based on the results of the shape optimization of the wall tree skeleton structure, the cross-section is optimized according to the strength, stability and aspect ratio of the members. Through a concrete example to analyze the characteristics and applicability of the shape creation method of the wall tree skeleton structure. In the process of shape optimization, the strain energy of the whole wall decreases. The displacement of the wall becomes smaller, and the bending moment and shear force of the tree frame structure of the wall also decrease correspondingly, but the axial force remains basically unchanged. After shape optimization, the tree skeleton structure of the wall can be subjected to axial force, which shows that the tree topological relationship determined by fractal theory is reasonable. Section optimization makes the stress of the wall skeleton uniform, and different tree fractal images can be obtained by changing any parameters in fractal grammar. After proper treatment, the tree skeleton structure of the initial monolayer single trunk wall can be obtained, and then the multi-trunk, single-layer and multi-layer structures can be obtained after replication and translation. In this paper, the feasibility, rationality, efficiency, economy and versatility of the proposed method are verified by several examples. Finally, some practical examples are given to illustrate the significance and value of the research.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU318

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本文編號：1409311