【摘要】：張拉膜結(jié)構(gòu)是近幾十年逐漸發(fā)展起來的一種新型的張拉整體結(jié)構(gòu),索膜空間結(jié)構(gòu)以其新穎的造型、巧妙的構(gòu)思、高效的結(jié)構(gòu)得到日益廣泛的應(yīng)用。在靜力荷載分析中,索膜結(jié)構(gòu)與支撐結(jié)構(gòu)的相互作用問題是膜結(jié)構(gòu)設(shè)計的難點與關(guān)鍵之一,它關(guān)系到計算的結(jié)果是否準(zhǔn)確合理、結(jié)構(gòu)的強(qiáng)度和剛度是否可以滿足建筑的安全性要求等。 我國的《膜結(jié)構(gòu)技術(shù)規(guī)程》中規(guī)定：“對于可能產(chǎn)生較大位移的支撐點,在計算中應(yīng)考慮支座位移的影響,或與支撐結(jié)構(gòu)一起進(jìn)行整體分析”。但迄今為止,對有彈性支撐的索膜空間結(jié)構(gòu)的研究都是將膜結(jié)構(gòu)與彈性支撐體系分離開單獨分析,在膜結(jié)構(gòu)與彈性支撐結(jié)構(gòu)的整體協(xié)同分析方面還是一個空白。本文從協(xié)同分析的思路出發(fā),對索膜結(jié)構(gòu)與彈性支撐結(jié)構(gòu)的整體協(xié)同形態(tài)分析、靜荷載分析進(jìn)行了系統(tǒng)深入的研究。 本文在找形方面,推導(dǎo)了力密度法的平衡方程以及T單元的平衡方程,并在此平衡方程的基礎(chǔ)上,推導(dǎo)了由力密度控制的索單元力密度矩陣以及T單元力密度矩陣；通過彈性索桿單元的應(yīng)力應(yīng)變關(guān)系及幾何關(guān)系,建立了索桿單元平衡平衡,并推導(dǎo)了整體坐標(biāo)系下由彈性控制的索與壓桿的切線剛度矩陣；建立了索膜結(jié)構(gòu)找形分析的平衡方程。 本文在荷載分析方面,介紹了索膜結(jié)構(gòu)等效剛度矩陣以及索元與膜線單元原長的計算；進(jìn)一步引用彈性T單元的概念,推導(dǎo)出了由彈性控制的T單元的切線剛度矩陣,并建立了引入彈性T單元后索膜結(jié)構(gòu)荷載分析時整體平衡方程；提出一種有效的方法來解決膜結(jié)構(gòu)荷載分析時可能出現(xiàn)的褶皺問題。 本文引入矩陣位移法的單元矩陣組裝規(guī)則,將CSR稀疏矩陣存儲技術(shù)引入到整體剛度矩陣的存儲運(yùn)算,采用Gauss-Seidel迭代法求解平衡方程,有效的提高了運(yùn)算效率。 在前文理論推導(dǎo)的基礎(chǔ)上,建立了索膜結(jié)構(gòu)與空間鋼結(jié)構(gòu)的整體協(xié)同找形分析以及整體協(xié)同荷載分析的平衡方程,編制了索膜結(jié)構(gòu)與空間鋼結(jié)構(gòu)的整體協(xié)同找形分析以及荷載分析的核心計算程序,通過一些算例分析,得出了一些有意義的結(jié)論。
[Abstract]:Tensioned membrane structure is a new type of tensioning structure developed gradually in recent decades. The cable-film space structure has been widely used for its novel shape, ingenious conception and efficient structure. In static load analysis, the interaction between cable-membrane structure and braced structure is one of the difficulties and keys in membrane structure design, which is related to whether the calculation results are accurate and reasonable. Whether the strength and stiffness of the structure can meet the safety requirements of the building, etc. The Technical Specification for membrane structures in our country stipulates that "the influence of support displacement should be taken into account in the calculation of support points which may produce large displacements, or the whole analysis should be carried out together with the bracing structure". Up to now, however, the research on elastic braced cable-membrane space structure is to separate the membrane structure from the elastic bracing system, which is still a blank in the overall cooperative analysis between the membrane structure and the elastic braced structure. Based on the idea of cooperative analysis, this paper makes a systematic and in-depth study on the overall cooperative morphology analysis and static load analysis of cable-membrane structure and elastic braced structure. In this paper, the equilibrium equation of force density method and the equilibrium equation of T element are derived. On the basis of the equation, the force density matrix of cable element and the force density matrix of T element controlled by force density are derived. Through the stress-strain relation and geometric relation of elastic cable bar element, the equilibrium of cable bar element is established, and the tangent stiffness matrix of cable and compression bar controlled by elasticity in the whole coordinate system is deduced. The equilibrium equation for shape finding analysis of cable-membrane structures is established. In the aspect of load analysis, the equivalent stiffness matrix of cable-membrane structure and the calculation of the original length of cable element and membrane element are introduced, and the tangent stiffness matrix of elastic T element is derived by referring to the concept of elastic T element. The integral equilibrium equation of cable-membrane structure load analysis with elastic T element is established, and an effective method to solve the fold problem of membrane structure load analysis is proposed. In this paper, the element matrix assembly rule of matrix displacement method is introduced, the CSR sparse matrix storage technique is introduced into the storage operation of the global stiffness matrix, and the balance equation is solved by the Gauss-Seidel iterative method, which effectively improves the operation efficiency. On the basis of the previous theoretical derivation, the equilibrium equations of the integral cooperative form-finding analysis and the overall cooperative load analysis of cable-membrane structure and spatial steel structure are established. In this paper, the core calculation programs for the integral coordinated form-finding analysis and load analysis of cable-membrane structure and spatial steel structure are developed, and some meaningful conclusions are obtained through some examples.
【學(xué)位授予單位】：華南理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：TU399

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本文編號：2250753