【摘要】：隨著人們對(duì)建筑美學(xué)的不斷追求、計(jì)算機(jī)輔助設(shè)計(jì)水平的日益提高以及施工技術(shù)的逐步完善,空間網(wǎng)格結(jié)構(gòu)中較為常見的規(guī)則曲面造型,如柱面、球面、橢球面,逐漸無法滿足日益發(fā)展的建筑表現(xiàn)要求。而自由曲面網(wǎng)格結(jié)構(gòu)憑借其新穎獨(dú)特的造型和強(qiáng)大的視覺表現(xiàn)力,不斷應(yīng)用于劇院商場(chǎng)、體育場(chǎng)館、交通樞紐等地標(biāo)性建筑,越來越受到建筑師的青睞。 由于自由曲面網(wǎng)格結(jié)構(gòu)造型復(fù)雜,富于變化,在傳統(tǒng)的規(guī)則曲面中采用的桿件布置方法面對(duì)這類曲面已經(jīng)捉襟見肘,因此如何快速高效地為建筑師的曲面提供優(yōu)質(zhì)的網(wǎng)格劃分方案是該類結(jié)構(gòu)設(shè)計(jì)的首要問題；同時(shí),網(wǎng)格的均勻性優(yōu)化和基于力學(xué)性能的研究也是自由曲面網(wǎng)格結(jié)構(gòu)設(shè)計(jì)的關(guān)鍵性問題。本文針對(duì)以上問題進(jìn)行初步研究,并取得了相應(yīng)成果。 網(wǎng)格劃分針對(duì)建筑師提供的曲面模型進(jìn)行,在自由曲面形態(tài)創(chuàng)建領(lǐng)域,NURBS逐漸成為主流的造型方法。NURBS作為強(qiáng)大的幾何設(shè)計(jì)工具,為任意曲面提供了一種統(tǒng)一的數(shù)學(xué)表達(dá),并通過控制點(diǎn)、權(quán)因子、節(jié)點(diǎn)矢量、階次等信息實(shí)現(xiàn)對(duì)曲面的形狀控制。本文首先介紹NURBS參數(shù)化設(shè)計(jì)的基本原理,并對(duì)其各項(xiàng)控制參數(shù)的物理意義進(jìn)行說明。 針對(duì)NURBS表達(dá)的自由曲面,本文提出一種自動(dòng)化的網(wǎng)格劃分方法——自定義單元法。該方法的網(wǎng)格劃分在參數(shù)域進(jìn)行,以網(wǎng)格節(jié)點(diǎn)為對(duì)象,以“代”為整體進(jìn)行節(jié)點(diǎn)推進(jìn)。首先根據(jù)節(jié)點(diǎn)的演化規(guī)律進(jìn)行網(wǎng)格單元自定義,在節(jié)點(diǎn)推進(jìn)過程中根據(jù)曲面特征進(jìn)行單元選擇生成下代節(jié)點(diǎn),自適應(yīng)曲面尺寸變化,將每一推進(jìn)步單元“組裝”,建立網(wǎng)格拓?fù)涞膮?shù)化表達(dá)；采用黎曼度量表征單元節(jié)點(diǎn)參數(shù)距離,確定節(jié)點(diǎn)參數(shù)坐標(biāo),適應(yīng)曲面曲率特征；最后,參數(shù)網(wǎng)格映射形成空間網(wǎng)格結(jié)構(gòu)。本研究基于MATLAB編制網(wǎng)格劃分及可視化源程序,并通過算例驗(yàn)證了自定義單元方法在自由曲面網(wǎng)格劃分中的有效性和通用性。 自由曲面網(wǎng)格結(jié)構(gòu)設(shè)計(jì)中,無論是采用人工劃分的方式,還是采用自動(dòng)劃分,初始的網(wǎng)格劃分方案均較難確保網(wǎng)格的均勻性,往往需要進(jìn)行進(jìn)一步的均勻性優(yōu)化。本文采用Rhinoceros軟件平臺(tái),以桿長(zhǎng)方差最小為優(yōu)化目標(biāo),編制自動(dòng)化網(wǎng)格均勻性優(yōu)化程序。該程序?qū)⒖臻g曲面網(wǎng)格轉(zhuǎn)化為參數(shù)網(wǎng)格,從而對(duì)參數(shù)域網(wǎng)格節(jié)點(diǎn)進(jìn)行逐個(gè)調(diào)整,搜索參數(shù)節(jié)點(diǎn)最優(yōu)參數(shù)坐標(biāo),最終實(shí)現(xiàn)參數(shù)網(wǎng)格優(yōu)化,得到均勻性更好的空間網(wǎng)格。 當(dāng)前的自由曲面網(wǎng)格設(shè)計(jì)研究中,更多是從建筑的美學(xué)要求和視覺效果出發(fā),對(duì)結(jié)構(gòu)的力學(xué)合理性研究有待深入。結(jié)構(gòu)的力學(xué)性能直接決定了結(jié)構(gòu)的安全性、適用性和耐久性,自由曲面網(wǎng)格結(jié)構(gòu)力學(xué)性能的研究同樣是自由曲面網(wǎng)格結(jié)構(gòu)設(shè)計(jì)的關(guān)鍵性問題。本研究基于大型通用有限元分析軟件ANSYS,從結(jié)構(gòu)的靜力性能、自振特性、穩(wěn)定性能方面對(duì)自由曲面網(wǎng)格結(jié)構(gòu)的力學(xué)特性進(jìn)行研究,力求為實(shí)際工程應(yīng)用提供有益參考。 總之,本文針對(duì)自由曲面網(wǎng)格結(jié)構(gòu)的網(wǎng)格劃分、網(wǎng)格優(yōu)化和力學(xué)性能三個(gè)方面進(jìn)行研究,以期為自由曲面網(wǎng)格結(jié)構(gòu)的設(shè)計(jì)提供理論指導(dǎo)和技術(shù)支持。
[Abstract]:With the continuous pursuit of architectural aesthetics, the increasing of computer-aided design and the gradual improvement of construction technology, the more common rule-surface modeling in spatial grid structure, such as cylindrical surface, spherical surface and ellipsoidal surface, can not meet the development requirement of building performance. With its novel and unique modeling and powerful visual expressive force, the free-form curved grid structure is continuously applied to landmark buildings such as theaters, stadiums and transportation hubs, and is becoming more and more popular by architects. Because the free-surface mesh structure is complex and rich in shape, the bar layout method used in the traditional regular curved surface faces this kind of curved surface. See the elbow, so how to provide a high-quality grid division scheme for the architect's curved surface quickly and efficiently is the primary problem of this kind of structural design; meanwhile, the uniformity optimization of the grid and the research on the mechanical properties are also the key to the structural design of the free-form curved grid. In this paper, a preliminary study on the above problems is made, and the corresponding results are obtained. Results. Grid partition is designed for the curved surface model provided by architects, and NURBS is becoming the mainstream in the field of free surface form creation The NURBS, as a powerful geometric design tool, provides a uniform mathematical expression for any surface and realizes the curved surface through information such as control point, weight factor, node vector, order and so on. In this paper, the basic principle of NURBS parametric design is introduced, and the physical meaning of the control parameters is introduced in this paper. For NURBS expression free surfaces, this paper proposes an automated grid divider The mesh partition of the method is carried out in the parameter field, and the grid node is an object, " Assemble", establish the parametric representation of the grid topology; use the Riemman Measure to characterize the node parameter distance, determine the node parameter coordinate, adapt to the surface curvature feature; and finally, map the parameter grid. In this paper, the grid partition and visual source program are compiled based on MATLAB, and the method of self-defined unit is verified by calculation example in the free-surface mesh division. In the design of grid structure of free-form curved surface, whether manual partition is adopted or automatic partition is adopted, the initial grid division scheme is more difficult to ensure the uniformity of the grid, and it is often necessary. This paper uses the Rhinoceroos software platform to make the minimum variance of the rod as the optimization objective, and the self-adaptive optimization is developed. According to the program, the space curved surface mesh is transformed into a parameter grid, so that the parameter domain grid nodes are adjusted one by one, the optimal parameter coordinates of the parameter nodes are searched, and finally, the parameter grid optimization is realized, In the current free surface mesh design study, more is from the aesthetic requirements and visual effects of the building, The mechanical rationality of the structure is to be studied deeply. The mechanical property of the structure directly determines the safety, applicability and durability of the structure, and the research on the mechanical properties of the free curved grid structure is also free. Based on the large-scale general-purpose finite element analysis software ANSYS, this paper studies the mechanical properties of the free-surface mesh structure from the aspects of static performance, self-vibration characteristics and stability performance of a large-scale general finite element analysis software ANSYS. In summary, this paper studies three aspects of grid partition, grid optimization and mechanical properties of free-surface mesh structure, with a view to providing free-form surface network.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TU399

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 李娜;陸金鈺;羅堯治;;基于能量法的自由曲面空間網(wǎng)格結(jié)構(gòu)光順與形態(tài)優(yōu)化方法[J];工程力學(xué);2011年10期

2 葉曉平;龔友平;陳國(guó)金;;快速求解點(diǎn)到自由曲面的距離的方法[J];工程圖學(xué)學(xué)報(bào);2008年04期

3 周曉峰;張良蘭;胡佳軼;祁飛;李亞明;賈水鐘;;辰山植物園溫室鋁合金結(jié)構(gòu)設(shè)計(jì)[J];工業(yè)建筑;2011年11期

4 陳彬磊;郭宇飛;柯長(zhǎng)華;張勇;;深圳灣體育中心鋼結(jié)構(gòu)屋蓋設(shè)計(jì)及研究[J];建筑結(jié)構(gòu);2011年09期

5 鄭志鎮(zhèn),李尚健,李志剛;曲面網(wǎng)格劃分算法的分類與比較[J];計(jì)算機(jī)輔助工程;1998年01期

6 熊英,胡于進(jìn),趙建軍;基于映射法和Delaunay方法的曲面三角網(wǎng)格劃分算法[J];計(jì)算機(jī)輔助設(shè)計(jì)與圖形學(xué)學(xué)報(bào);2002年01期

7 關(guān)振群 ,宋超 ,顧元憲 ,隋曉峰;有限元網(wǎng)格生成方法研究的新進(jìn)展[J];計(jì)算機(jī)輔助設(shè)計(jì)與圖形學(xué)學(xué)報(bào);2003年01期

8 李娜;陸金鈺;羅堯治;;利用張力薄膜平衡特性構(gòu)造自由曲面空間結(jié)構(gòu)[J];計(jì)算機(jī)輔助設(shè)計(jì)與圖形學(xué)學(xué)報(bào);2010年07期

9 胡恩球,張新訪,向文,周濟(jì);有限元網(wǎng)格生成方法發(fā)展綜述[J];計(jì)算機(jī)輔助設(shè)計(jì)與圖形學(xué)學(xué)報(bào);1997年04期

10 鄭國(guó)君;狄馳;胡平;郭威;;改進(jìn)的柵格法有限元網(wǎng)格剖分[J];計(jì)算力學(xué)學(xué)報(bào);2009年02期

相關(guān)博士學(xué)位論文 前2條

1 李欣;自由曲面結(jié)構(gòu)的形態(tài)學(xué)研究[D];哈爾濱工業(yè)大學(xué);2011年

2 李娜;空間網(wǎng)格結(jié)構(gòu)幾何形態(tài)研究與實(shí)現(xiàn)[D];浙江大學(xué);2009年

，

本文編號(hào)：2291369