【摘要】：建筑造型和結(jié)構(gòu)形式的多元化發(fā)展已成為現(xiàn)代空間網(wǎng)格結(jié)構(gòu)設(shè)計(jì)的特征之一，建筑師不拘泥于現(xiàn)有的、特定規(guī)格的外部造型形式，改變傳統(tǒng)網(wǎng)架外形，使建筑物呈現(xiàn)出更具美感的造型。異型空間網(wǎng)架結(jié)構(gòu)可以適應(yīng)各種建筑曲面造型要求，因此得到越來越廣泛的應(yīng)用，但給模型建立、修改調(diào)整以及結(jié)構(gòu)設(shè)計(jì)分析工作帶來了許多實(shí)際困難。本文針對(duì)此問題，主要研究了異型空間網(wǎng)架結(jié)構(gòu)快速成型方法以及結(jié)構(gòu)的優(yōu)化設(shè)計(jì)問題。 本文首先根據(jù)異型空間網(wǎng)架結(jié)構(gòu)的形式和特點(diǎn)，提出采用曲面擬合技術(shù)進(jìn)行模型的建立，借助Matlab程序中Griddata函數(shù)及V4算法進(jìn)行異型空間網(wǎng)架模型自由曲面的擬合，并且通過網(wǎng)格自動(dòng)添加角錐實(shí)現(xiàn)了異型空間網(wǎng)架結(jié)構(gòu)模型的建立。最后采用Matlab編制開發(fā)了異型空間網(wǎng)架結(jié)構(gòu)快速成型軟件，實(shí)現(xiàn)了自由曲面造型網(wǎng)架結(jié)構(gòu)模型的快速建立。 異型空間網(wǎng)架結(jié)構(gòu)屬于典型的離散桿系結(jié)構(gòu)，本文建立了以異型空間網(wǎng)架結(jié)構(gòu)總質(zhì)量為目標(biāo)函數(shù)的優(yōu)化設(shè)計(jì)數(shù)學(xué)模型，將離散變量?jī)?yōu)化設(shè)計(jì)理論和相對(duì)差商法進(jìn)行結(jié)合，進(jìn)而提出了適用于異型空間網(wǎng)架結(jié)構(gòu)的二級(jí)優(yōu)化方法。優(yōu)化過程綜合考慮了桿件應(yīng)力比、長(zhǎng)細(xì)比等局部約束以及結(jié)構(gòu)整體穩(wěn)定性、結(jié)構(gòu)變形撓度等全局約束，并且在優(yōu)化設(shè)計(jì)過程中有效融合近似滿應(yīng)力優(yōu)化設(shè)計(jì)方法、相對(duì)差商法以及弧長(zhǎng)法，并考慮了結(jié)構(gòu)幾何非線性的影響，編制了異型空間網(wǎng)架結(jié)構(gòu)優(yōu)化設(shè)計(jì)程序，并通過算例驗(yàn)證了本文優(yōu)化方法的有效性和可靠性。 基于本文研究成果，以錫林郭勒盟體育中心體育場(chǎng)看臺(tái)自由曲面網(wǎng)架實(shí)際工程為背景，應(yīng)用本文異型空間網(wǎng)架結(jié)構(gòu)快速成型軟件進(jìn)行網(wǎng)架模型的建立并采用本文二級(jí)優(yōu)化方法對(duì)其進(jìn)行了優(yōu)化設(shè)計(jì)分析，取得了良好的經(jīng)濟(jì)效果。 通過研究表明，本文編制的異型空間網(wǎng)架結(jié)構(gòu)快速成型軟件可以方便、快捷的實(shí)現(xiàn)各種建筑曲面造型網(wǎng)架結(jié)構(gòu)模型的建立。本文提出的異型空間網(wǎng)架結(jié)構(gòu)二級(jí)優(yōu)化方法可以有效降低結(jié)構(gòu)用鋼量，具有工程實(shí)際應(yīng)用價(jià)值。
[Abstract]:The diversified development of architectural modeling and structural forms has become one of the characteristics of modern spatial grid structure design. Architects do not adhere to the existing, specific specifications of the external form of modeling, changing the shape of the traditional grid, Give a more aesthetic look to the building. The irregular space truss structure can adapt to all kinds of architectural surface modeling requirements, so it is more and more widely used, but it brings a lot of practical difficulties to model establishment, modification and adjustment, as well as structural design and analysis work. In order to solve this problem, the rapid prototyping method and optimal design of special space truss structures are studied in this paper. In this paper, firstly, according to the form and characteristics of the irregular space grid structure, a surface fitting technique is proposed to build the model, and the free surface fitting of the special space grid structure model is carried out with the help of Griddata function and V4 algorithm in Matlab program. The model of irregular space truss structure is built by adding angle cone automatically. At last, the rapid prototyping software of irregular space truss structure is developed by using Matlab, and the rapid establishment of free-form curved surface modeling space truss structure model is realized. The special space truss structure is a typical discrete bar structure. In this paper, a mathematical model of optimal design with the total mass of special space truss structure as the objective function is established, which combines the theory of optimal design of discrete variables with the method of relative difference quotient. Furthermore, a two-stage optimization method suitable for special space truss structure is proposed. In the optimization process, the local constraints such as the stress ratio of the member, the aspect ratio, and the global constraints such as the stability of the whole structure and the deflection of the structure are taken into account, and the approximate full stress optimization method is effectively integrated in the optimization design process. The relative difference quotient method and arc length method, considering the influence of geometric nonlinearity of structures, are used to program the optimization design of irregular space truss structures. The effectiveness and reliability of this optimization method are verified by an example. Based on the research results of this paper, taking the actual project of the free-form curved grid of the stands of the Xilingol League Sports Center Stadium as the background, In this paper, the software of rapid prototyping of special space truss structure is used to establish the model of grid structure, and the optimization design analysis is carried out by using the two-stage optimization method in this paper, and good economic results are obtained. The research shows that the rapid prototyping software of irregular space grid structure developed in this paper can conveniently and quickly realize the establishment of various building surface modeling grid structure models. The two-stage optimization method proposed in this paper can effectively reduce the amount of steel used in the structure and has practical application value in engineering.
【學(xué)位授予單位】：哈爾濱工程大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：TU356

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