异型空间网架结构快速成型与优化设计
发布时间：2018-12-08 21:41
【摘要】：建筑造型和结构形式的多元化发展已成为现代空间网格结构设计的特征之一，建筑师不拘泥于现有的、特定规格的外部造型形式，改变传统网架外形，使建筑物呈现出更具美感的造型。异型空间网架结构可以适应各种建筑曲面造型要求，因此得到越来越广泛的应用，但给模型建立、修改调整以及结构设计分析工作带来了许多实际困难。本文针对此问题，主要研究了异型空间网架结构快速成型方法以及结构的优化设计问题。 本文首先根据异型空间网架结构的形式和特点，提出采用曲面拟合技术进行模型的建立，借助Matlab程序中Griddata函数及V4算法进行异型空间网架模型自由曲面的拟合，并且通过网格自动添加角锥实现了异型空间网架结构模型的建立。最后采用Matlab编制开发了异型空间网架结构快速成型软件，实现了自由曲面造型网架结构模型的快速建立。 异型空间网架结构属于典型的离散杆系结构，本文建立了以异型空间网架结构总质量为目标函数的优化设计数学模型，将离散变量优化设计理论和相对差商法进行结合，进而提出了适用于异型空间网架结构的二级优化方法。优化过程综合考虑了杆件应力比、长细比等局部约束以及结构整体稳定性、结构变形挠度等全局约束，并且在优化设计过程中有效融合近似满应力优化设计方法、相对差商法以及弧长法，并考虑了结构几何非线性的影响，编制了异型空间网架结构优化设计程序，并通过算例验证了本文优化方法的有效性和可靠性。 基于本文研究成果，以锡林郭勒盟体育中心体育场看台自由曲面网架实际工程为背景，应用本文异型空间网架结构快速成型软件进行网架模型的建立并采用本文二级优化方法对其进行了优化设计分析，取得了良好的经济效果。 通过研究表明，本文编制的异型空间网架结构快速成型软件可以方便、快捷的实现各种建筑曲面造型网架结构模型的建立。本文提出的异型空间网架结构二级优化方法可以有效降低结构用钢量，具有工程实际应用价值。
[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.
【学位授予单位】：哈尔滨工程大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU356
本文编号：2369038
[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.
【学位授予单位】：哈尔滨工程大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU356
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