本文選題：樹狀結(jié)構(gòu) + 分形理論�。� 參考：《哈爾濱工業(yè)大學(xué)》2014年碩士論文

【摘要】：仿生樹狀結(jié)構(gòu)以其受力合理，形態(tài)優(yōu)美的特點(diǎn)被廣泛應(yīng)用于空間建筑結(jié)構(gòu)中。近年來越來越多的仿生樹狀結(jié)構(gòu)應(yīng)用于實(shí)際工程，因此對(duì)于仿生樹狀結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法的研究具有很高的理論和應(yīng)用價(jià)值。 本文所論述的仿生樹狀結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法目的是為建筑設(shè)計(jì)提供方案，以結(jié)構(gòu)優(yōu)化理論為手段，在盡可能提高結(jié)構(gòu)受力性能的前提下給出形狀優(yōu)美的結(jié)構(gòu)形式。結(jié)構(gòu)優(yōu)化理論及分形理論的應(yīng)用為本方法的核心內(nèi)容，其中包括形狀優(yōu)化，，拓?fù)渥兓约敖孛鎯?yōu)化。本文主要介紹了分形理論在本方法中應(yīng)用的可能性，以應(yīng)變能為目標(biāo)函數(shù)的優(yōu)化模型的合理性，同時(shí)介紹了節(jié)點(diǎn)應(yīng)變能敏感度與單元敏感度的數(shù)學(xué)意義及力學(xué)意義。 本方法針對(duì)不同的建筑意圖以及約束條件，論述了固定初始拓?fù)湫问胶妥兓負(fù)湫问絻煞N不同的結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)策略，并分別通過例題論述了本方法的合理性以及所得到結(jié)構(gòu)的形態(tài)特征。固定初始拓?fù)湫问绞窃诮Y(jié)構(gòu)初期給定結(jié)構(gòu)拓?fù)潢P(guān)系，在優(yōu)化過程中根據(jù)節(jié)點(diǎn)應(yīng)變能敏感度對(duì)結(jié)構(gòu)形狀進(jìn)行調(diào)整，當(dāng)應(yīng)變能下降到某一收斂值時(shí)停止優(yōu)化，最后對(duì)桿件截面進(jìn)行調(diào)整得到最終結(jié)構(gòu)，這種方法適用于建筑外觀要求較為嚴(yán)格，對(duì)于建筑拓?fù)湫螤钣刑囟ㄒ蟮那闆r。可變拓?fù)涞男螒B(tài)創(chuàng)構(gòu)方法是給定簡(jiǎn)單初始拓?fù)浣Y(jié)構(gòu)，應(yīng)用節(jié)點(diǎn)應(yīng)變能敏感度理論對(duì)結(jié)構(gòu)形狀進(jìn)行調(diào)整，應(yīng)變能收斂后應(yīng)用單元應(yīng)變能敏感度理論結(jié)合分形理論對(duì)指定桿件進(jìn)行分形生長(zhǎng)，從而改變結(jié)構(gòu)拓?fù)�，最后�?duì)桿件截面進(jìn)行優(yōu)化得到最終結(jié)構(gòu)。該方法適用于建筑外觀要求較為寬松，對(duì)結(jié)構(gòu)拓?fù)湫螤顩]有特定要求的情況，所得到的結(jié)構(gòu)從結(jié)構(gòu)形式上來講更加自由，新拓?fù)涞纳墒菇Y(jié)構(gòu)出現(xiàn)了新的傳力路徑，造成了應(yīng)變能的突變，使得應(yīng)變能可以在形狀優(yōu)化后繼續(xù)降低，所得到的結(jié)構(gòu)在力學(xué)層面更加合理。 本文所論述的仿生樹狀結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法將結(jié)構(gòu)在靜荷載下應(yīng)變能作為目標(biāo)函數(shù)，考察結(jié)構(gòu)進(jìn)化過程中應(yīng)變能，平均彎矩，最大彎矩，平均軸力及最大豎向位移等特征量，得出仿生樹狀結(jié)構(gòu)的受力特征，為仿生樹狀結(jié)構(gòu)的設(shè)計(jì)及工程應(yīng)用做參考。
[Abstract]:The bionic tree structure is widely used in spatial architecture because of its reasonable force and graceful shape. In recent years, more and more bionic tree structures have been applied to practical engineering. Therefore, it is of great theoretical and application value for the study of the bionic tree structure formation method.
The aim of this paper is to provide a scheme for architectural design. With structural optimization theory as a means, a graceful form is given on the premise of improving the strength of the structure as far as possible. The core content of this method is the application of structure optimization theory and fractal theory, including shape optimization. This paper mainly introduces the possibility of the application of the fractal theory in this method, the rationality of the optimization model with the strain energy as the objective function, and the mathematical meaning and the mechanical significance of the strain energy sensitivity of the node and the unit sensitivity.
In view of different architectural intentions and constraints, this paper discusses two different structural forms of structural formation strategy with fixed initial topology and change topology, and the rationality of this method and the morphological characteristics of the structure are discussed respectively through examples. The fixed initial topology is a given structure topology at the initial stage of the structure. In the process of optimization, the structure shape is adjusted according to the strain energy sensitivity of the node. When the strain energy is reduced to a certain convergent value, the optimization is stopped. Finally, the final structure is adjusted to the cross section of the rod. This method is suitable for the strict requirements of the architectural appearance and the specific requirements for the topology shape of the building. The formation method of the flutter is a given simple initial topology, and the structure shape is adjusted by the strain energy sensitivity theory of the node. After the strain energy convergence is convergent, the element strain energy sensitivity theory is applied to the specified rod to grow fractal, thus the structural extension is changed. Finally, the optimization of the cross section of the rod is finally obtained. Structure. This method is suitable for more relaxed architectural appearance requirements and no specific requirements for the structure topology. The structure obtained is more free from the structure form. The generation of the new topology makes the structure appear a new force path, cause the mutation of strain energy, so that the strain energy can continue to be reduced after the shape optimization. The obtained structure is more reasonable at the mechanical level.
In this paper, the bionic tree structure form method is used to study the strain energy, the average bending moment, the maximum bending moment, the average axial force and the maximum vertical displacement in the process of structural evolution, and the stress characteristics of the bionic tree structure, which are the design and engineering of the bionic tree structure. For reference.

【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TU399

【參考文獻(xiàn)】

相關(guān)期刊論文 前5條

1 王科奇;;結(jié)構(gòu)形態(tài)建筑化表現(xiàn)[J];吉林建筑工程學(xué)院學(xué)報(bào);2010年03期

2 李繼龍;技術(shù)美在建筑實(shí)體中的體現(xiàn)[J];建筑創(chuàng)作;2002年07期

3 崔昌禹;姜寶石;崔國(guó)勇;;結(jié)構(gòu)形態(tài)創(chuàng)構(gòu)方法的工程應(yīng)用[J];建筑鋼結(jié)構(gòu)進(jìn)展;2011年06期

4 索健;;當(dāng)代大空間建筑形態(tài)設(shè)計(jì)理念及建構(gòu)手法簡(jiǎn)析[J];建筑師;2005年06期

5 姚亞雄,梅季魁;空間結(jié)構(gòu)形態(tài)與建筑的統(tǒng)一[J];空間結(jié)構(gòu);1998年03期

本文編號(hào)：1834926