本文關(guān)鍵詞： 高層混合結(jié)構(gòu) QR法 三維非線性分析 樣條結(jié)點(diǎn)離散 QR變換 雙重非線性 靜力彈塑性抗震分析 Pushover-QR法　出處：《廣西大學(xué)》2013年博士論文　論文類型：學(xué)位論文

【摘要】：高層建筑是社會(huì)需求與經(jīng)濟(jì)繁榮、科技進(jìn)步的產(chǎn)物。隨著對(duì)高層建筑使用功能要求的日趨復(fù)雜,高層建筑數(shù)量日益增多、高度不斷提升的同時(shí),結(jié)構(gòu)形式也在發(fā)生變化。高層混合結(jié)構(gòu)便是順應(yīng)這種變化而發(fā)展起來的結(jié)構(gòu)形式之一。 高層混合結(jié)構(gòu)是指鋼框架和混凝土核心筒(或剪力墻)雙重抗側(cè)力結(jié)構(gòu)體系的組合合,兼具鋼結(jié)構(gòu)與混凝土結(jié)構(gòu)的優(yōu)點(diǎn),性能處于兩者之間,克服了純鋼結(jié)構(gòu)或混凝土結(jié)構(gòu)在高層建筑結(jié)構(gòu)應(yīng)用中的許多缺點(diǎn),因此這種結(jié)構(gòu)有著更加廣泛的前景。我國已經(jīng)建成的超高層建筑中,大部分采用了這種結(jié)構(gòu)體系,但是對(duì)該結(jié)構(gòu)的研究相對(duì)滯后,許多問題需要進(jìn)一步研究,包括高層建筑混合結(jié)構(gòu)的計(jì)算方法、外部鋼框架與內(nèi)部混凝土核心筒結(jié)構(gòu)的協(xié)同工作、節(jié)點(diǎn)連接形式對(duì)其受力性能的影響等等。 本文基于廣西大學(xué)秦榮教授創(chuàng)立的QR方法,建立了高層混合結(jié)構(gòu)分析的新方法,包括靜力彈性分析、非線性分析、以及靜力彈塑性抗震分析的新算法,并編制了相應(yīng)的C語言計(jì)算程序。本文的研究工作的主要如下： 第一章主要對(duì)混合結(jié)構(gòu)的形式、特點(diǎn)、研究背景及意義進(jìn)行了闡述和回顧,對(duì)混合結(jié)構(gòu)的分析計(jì)算方法、目前研究的內(nèi)容進(jìn)行歸納總結(jié),并提出了本文的主要研究?jī)?nèi)容。 第二章主要研究混合結(jié)構(gòu)分析的單元新模式,包括框架梁柱離散的三維梁柱單元和混凝土樓板、剪力墻離散的平板殼元。①基于平衡微分方程和穩(wěn)定函數(shù)推導(dǎo)了考慮二階效應(yīng)的平面梁?jiǎn)卧膭偠确匠?利用兩個(gè)平面的組合構(gòu)造三維梁、柱單元的剛度矩陣；②基于廣義協(xié)調(diào)理論推導(dǎo)了薄板彎曲的矩形單元以及帶扭轉(zhuǎn)自由度的高精度矩形膜元,利用二者的組合構(gòu)造了三維平板殼元的剛度矩陣。 第三章主要研究高層混合結(jié)構(gòu)三維靜力彈性分析的QR法。①在已有的平面彈性分析的QR法的基礎(chǔ)上,在結(jié)構(gòu)的平面圖上做樣條結(jié)點(diǎn)離散,采用雙三次B樣條基函數(shù)和正交多項(xiàng)式乘積的線性組合構(gòu)造整體位移場(chǎng)函數(shù),建立了集剪力墻、樓板和鋼框架梁柱的三維空間QR計(jì)算新格式；②提出了單元QR變換的簡(jiǎn)化方法,可大大節(jié)省結(jié)構(gòu)總剛度矩陣的的存儲(chǔ)空間,避免零元素的運(yùn)算,可大大提高QR法在空間結(jié)構(gòu)分析中的計(jì)算效率；③設(shè)計(jì)了該算法的計(jì)算流程和C程序。 第四章主要研究高層混合結(jié)構(gòu)三維靜力非線性分析的QR法�？紤]鋼材和鋼筋混凝土的材料非線性,以及鋼框架的幾何非線性影響,采用空間塑性鉸模型,應(yīng)用OR法建立了混合結(jié)構(gòu)樣條變剛度法荷載增量形式的非線性剛度方程,采用修正的牛頓-拉夫遜(Modified Newton-Raphson)迭代法求解非線性方程組。建立了混合結(jié)構(gòu)體系雙重非線性分析的新算法,設(shè)計(jì)了該算法的計(jì)算流程和C程序。 第五章主要研究高層混合結(jié)構(gòu)三維靜力彈塑性抗震分析的Pushover-QR法,在簡(jiǎn)介基本概念及前人研究成果的基礎(chǔ)上,將基于能力譜法的Pushover法與混合結(jié)構(gòu)非線性分析的QR法相結(jié)合,建立了高層混合結(jié)構(gòu)三維靜力彈塑性抗震分析的Pushover-QR法,給出算法的計(jì)算新格式和實(shí)施步驟,并設(shè)計(jì)了算法的計(jì)算流程和C程序。 第六章主要應(yīng)用前述推導(dǎo)利用本文建立的高層混合結(jié)構(gòu)分析的新方法對(duì)某工程實(shí)例進(jìn)行了靜力彈性、靜力彈塑性抗震分析,總結(jié)了該混合結(jié)構(gòu)的受力性能,得出了一些有益的結(jié)論,對(duì)今后混合結(jié)構(gòu)分析與設(shè)計(jì)提供參考。用C語言編制了相關(guān)計(jì)算程序,證明本文方法的可行性和有效性,為高層混合結(jié)構(gòu)的分析提供了一種新的方法。
[Abstract]:High - rise buildings are the products of social demand and economic prosperity and scientific and technological progress . With the increasing complexity of the functional requirements for high - rise buildings , the number of high - rise buildings is increasing , the height of high - rise buildings is increasing , and the structure form is also changed . The high - rise hybrid structure is one of the structural forms that have been developed according to this change . The high - rise hybrid structure refers to the combination of steel frame and concrete core barrel ( or shear wall ) double anti - side force structure system , which has the advantages of steel structure and concrete structure , and has the advantages of steel structure and concrete structure , which overcomes many defects in the application of pure steel structure or concrete structure in high - rise building structure . Based on the QR method created by professor Qin Rong of Guangxi University , this paper establishes a new method of high - rise hybrid structure analysis , including static elastic analysis , nonlinear analysis , and new algorithm of static elastic - plastic seismic analysis , and develops the corresponding C language calculation program . The research work of this paper is as follows : In the first chapter , the form , characteristics , research background and significance of the mixed structure are described and reviewed , and the analysis and calculation methods of the mixed structure are summarized , and the main research contents of this paper are put forward . In chapter 2 , the new model of hybrid structure analysis is mainly studied , including three - dimensional beam - column unit and concrete floor slab with discrete frame beam - column . The stiffness matrix of three - dimensional beam and column element is deduced based on equilibrium differential equation and stable function . In chapter 3 , the QR method of three - dimensional static elastic analysis of high - rise hybrid structures is studied . In chapter 4 , the QR method of three - dimensional static nonlinear analysis of high - rise hybrid structures is mainly studied . The nonlinear stiffness equation of the mixed structure spline stiffness method is established by using the OR method considering the material nonlinearity of the steel and reinforced concrete and the geometric nonlinear influence of the steel frame . The modified Newton - Raphson iterative method is adopted to solve the nonlinear equations . A new algorithm for the double nonlinear analysis of the hybrid structure system is established , and the calculation flow and C program of the algorithm are designed . In the fifth chapter , the pushover - QR method of three - dimensional static elastic - plastic seismic analysis of high - rise hybrid structures is mainly studied . Based on the introduction of the basic concepts and the previous research results , the pushover - QR method based on the capability - spectrum method and the nonlinear analysis of the mixed structure is established , and the new format and the implementation steps of the algorithm are given , and the calculation flow and C program of the algorithm are designed . The sixth chapter mainly applies the above - mentioned new method of high - level hybrid structure analysis established in this paper . The static elastic and static elastic - plastic anti - seismic analysis are carried out on some engineering examples , and some useful conclusions are drawn . Some useful conclusions are drawn , and the feasibility and effectiveness of this method are proved by using C language , and a new method is provided for the analysis of the high - rise hybrid structure .

【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2013
【分類號(hào)】：TU973.14

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