本文關(guān)鍵詞：基于區(qū)段混合能的位移有限元法研究及其應(yīng)用　出處：《河北工程大學(xué)》2017年碩士論文　論文類(lèi)型：學(xué)位論文

  更多相關(guān)文章： 多重抗側(cè)力結(jié)構(gòu) 協(xié)同分析 哈密頓體系 精細(xì)積分法 區(qū)段混合能 剛度矩陣 有限單元法

【摘要】：現(xiàn)行的雙、多重抗側(cè)力結(jié)構(gòu)體系研究中,通常對(duì)框架只考慮其剪切變形,對(duì)剪力墻(或支撐、筒體)僅考慮其彎曲變形的影響,各層樓板將兩者連接起來(lái),它僅傳遞水平力并且使得受彎和受剪兩部分變形協(xié)調(diào)。而實(shí)際工程中廣泛采用的框架一剪力墻結(jié)構(gòu)體系、框架一核芯筒結(jié)構(gòu)體系等多種雙重抗側(cè)力體系中的剪力墻結(jié)構(gòu)、筒體結(jié)構(gòu)與普通實(shí)腹式構(gòu)件不同,通常采用空腹式、格構(gòu)式,在水平荷載作用下發(fā)生側(cè)向變形,其自身的剪切變形所占總的變形的比例是很大的,對(duì)于某些鋼桁架、支撐框架,甚至剪切變形的比例大于彎曲變形。如此看來(lái),對(duì)這樣的結(jié)構(gòu)體系,傳統(tǒng)結(jié)構(gòu)理論的簡(jiǎn)化會(huì)造成一定的誤差。本文同時(shí)考慮彎曲變形和剪切變形,將雙、多重抗側(cè)力結(jié)構(gòu)體系的所有子結(jié)構(gòu)等效為彎剪型結(jié)構(gòu),在剛性樓板假定下,分別采用了樓板、連梁及框架對(duì)抗側(cè)力結(jié)構(gòu)的作用沿結(jié)構(gòu)高度連續(xù)化和非連續(xù)化的簡(jiǎn)化模型,對(duì)雙、多重抗側(cè)力結(jié)構(gòu)體系協(xié)同分析進(jìn)行了深入的研究。首先從建筑結(jié)構(gòu)的總勢(shì)能出發(fā),寫(xiě)出其拉格朗日函數(shù),導(dǎo)入哈密頓函數(shù),引入?yún)^(qū)段混合能,利用精細(xì)積分法求解區(qū)段混合能矩陣,然后由混合能矩陣推導(dǎo)出結(jié)構(gòu)的單元?jiǎng)偠染仃嚭偷刃Ч?jié)點(diǎn)荷載列陣,由位移有限元集成整體剛度矩陣,最后引入邊界條件,轉(zhuǎn)為位移法用一維有限元法求解,通過(guò)計(jì)算步驟編制MATLAB程序,得到多重抗側(cè)力結(jié)構(gòu)體系的側(cè)移和內(nèi)力。本文結(jié)合了4個(gè)多重抗側(cè)力結(jié)構(gòu)協(xié)同分析的實(shí)例對(duì)結(jié)構(gòu)的側(cè)移和內(nèi)力沿高度變化情況進(jìn)行了分析,并與相關(guān)文獻(xiàn)方法得到結(jié)果進(jìn)行了對(duì)比分析,結(jié)果表明本論文算法適用性較強(qiáng),計(jì)算簡(jiǎn)單,精度高,不僅適用于多重抗側(cè)力結(jié)構(gòu)體系的協(xié)同分析,而且還對(duì)于變截面的多重抗側(cè)力結(jié)構(gòu)體系的協(xié)同分析同樣適用,可方便應(yīng)用于多重抗側(cè)力結(jié)構(gòu)高層建筑的計(jì)算。
[Abstract]:In the current research of double and multiple resisting lateral force structure system, the shear deformation of frame is usually considered only, and the influence of bending deformation on shear wall (or bracing, tube body) is only considered, and each floor connects the two. It only transfers horizontal force and makes both bending and shear deformation coordinate. However, the frame-shear wall structure system is widely used in practical engineering. The shear wall structure in the frame-core-tube structure system and other dual lateral force resistant systems is different from the common full-web structure, usually using the empty stomach and lattice structure, under the action of horizontal load, lateral deformation occurs. The ratio of shear deformation to total deformation is very large for some steel trusses, braced frames, and even shear deformation is larger than bending deformation. The simplification of traditional structural theory will lead to certain errors. In this paper, the bending deformation and shear deformation are considered at the same time, and all substructures of double and multiple resisting lateral force structures are equivalent to flexural shear structures under the assumption of rigid floor. The simplified models of high continuity and discontinuity of the action of floor slab, connecting beam and frame against lateral force structure along the structure are adopted, respectively. Based on the total potential energy of the building structure, the Lagrangian function is written out, the Hamiltonian function is introduced, and the section mixing energy is introduced. Then the element stiffness matrix and equivalent node load matrix of the structure are derived from the mixed energy matrix, and the integral stiffness matrix is integrated by the displacement finite element method. Finally, the boundary condition is introduced, and the displacement method is used to solve the problem by one-dimensional finite element method. The MATLAB program is compiled through the calculation steps. The lateral displacement and internal force of the multi-counteracting lateral force structure system are obtained. In this paper, the lateral displacement and internal force along the height of the structure are analyzed with four examples of cooperative analysis of the multi-anti-lateral force structure. The results are compared with the results obtained from the related literature. The results show that the algorithm is applicable, simple and accurate, and it is not only suitable for the collaborative analysis of multi-anti-lateral force structure system. It is also applicable to the cooperative analysis of multi-lateral force resistant structures with variable cross-sections, and can be applied to the calculation of high-rise buildings with multi-lateral force resistance structures.
【學(xué)位授予單位】：河北工程大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TU311

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