本文選題：組合箱梁及框架結(jié)構(gòu) + 靜力性能�。� 參考：《中南大學(xué)》2013年博士論文

【摘要】：鋼-混凝土組合箱梁在橋梁工程和高層建筑中已經(jīng)得到了廣泛的應(yīng)用,目前國內(nèi)外關(guān)于鋼-混凝土組合箱梁的靜動力性能研究存在的問題有：考慮剪力滯效應(yīng)的鋼-混凝土組合箱梁解析方法及梁段有限元法研究主要集中于工字形組合梁、關(guān)于組合箱梁畸變屈曲臨界彎矩的計(jì)算方法過于復(fù)雜、考慮剪力滯效應(yīng)的動力響應(yīng)計(jì)算方法尚未見報(bào)道、彎矩-曲率恢復(fù)力模型大都基于構(gòu)件、彈塑性地震響應(yīng)時程分析大多基于層模型等,理論研究嚴(yán)重滯后于工程實(shí)踐,開展考慮剪力滯效應(yīng)的鋼-混凝土組合箱梁的靜動力性能試驗(yàn)研究和理論分析,可推廣鋼-混凝土組合箱梁在橋梁工程和超高層建筑中的應(yīng)用。本文針對目前研究現(xiàn)狀開展的主要研究工作如下： (1)在考慮混凝土板和鋼梁底板因剪力滯效應(yīng)引起的縱向翹曲、鋼梁剪切變形及鋼梁與混凝土板間界面滑移的基礎(chǔ)上,應(yīng)用能量變分原理導(dǎo)出鋼-混凝土簡支組合箱梁受橫向荷載作用下的剪力滯控制微分方程和邊界條件,獲得橫向荷載作用下的箱梁應(yīng)力、撓度和滑移解析解。根據(jù)虛功原理,提出同時考慮滑移效應(yīng)、剪力滯及剪切變形效應(yīng)的組合梁單元及等效節(jié)點(diǎn)力向量,編制組合梁梁段有限元程序。應(yīng)用本文解析解分別對集中荷載和均布荷載作用下的組合箱梁應(yīng)力、撓度和滑移進(jìn)行計(jì)算,并同現(xiàn)有試驗(yàn)結(jié)果進(jìn)行比較,驗(yàn)證本文解析解及梁段有限元法的正確性。利用本文計(jì)算方法對混凝土頂板及鋼梁底板剪力滯系數(shù)進(jìn)行參數(shù)分析,并在大量計(jì)算數(shù)據(jù)基礎(chǔ)上提出較為準(zhǔn)確的混凝土頂板及鋼梁底板剪力滯系數(shù)經(jīng)驗(yàn)計(jì)算公式。 (2)考慮鋼-混凝土組合箱梁負(fù)彎矩區(qū)鋼梁側(cè)向彎曲屈曲及側(cè)向彎扭屈曲兩種重要屈曲模式,在建立鋼梁腹板對鋼梁底板的轉(zhuǎn)動約束剛度及側(cè)向約束剛度的計(jì)算方法的基礎(chǔ)上,結(jié)合薄壁桿件的屈曲理論提出鋼-混凝土組合箱梁負(fù)彎矩區(qū)的側(cè)向彎曲屈曲彎矩及側(cè)向彎扭屈曲彎矩計(jì)算方法。通過實(shí)例分析現(xiàn)有計(jì)算方法存在的理論缺陷,驗(yàn)證本文計(jì)算方法的實(shí)用性和適用性。 (3)綜合考慮組合箱梁剪力滯、滑移、剪切變形和轉(zhuǎn)動慣量等多重因素的影響,推導(dǎo)組合箱梁的控制微分方程及自然邊界條件,獲得兒種常用邊界條件的組合箱梁固有頻率方程,提出一種能對工程中常用組合箱梁自振特性進(jìn)行分析的方法,通過算例驗(yàn)證該方法的有效性；利用中心差分法對振動微分方程進(jìn)行求解,獲得組合梁在任意荷載作用下的動力響應(yīng),通過算例將差分?jǐn)?shù)值計(jì)算結(jié)果與ANSYS有限元計(jì)算結(jié)果進(jìn)行比較,證明該方法的正確性。 (4)進(jìn)行4根不同剪力連結(jié)度及腹板高厚比鋼-混凝土簡支組合箱梁低周反復(fù)荷載試驗(yàn)研究,對鋼-混凝土組合箱梁的破壞形態(tài)、滯回規(guī)律、骨架曲線、延性、耗能能力、剛度退化規(guī)律等抗震性能進(jìn)行深入的分析,重點(diǎn)考察剪力連結(jié)度及腹板高厚比對鋼-混凝土組合箱梁抗震性能的影響；考慮剪力連接度和界面滑移的影響,提出組合箱梁正向、負(fù)向截面彎矩-曲率彈性剛度及截面屈服彎矩計(jì)算方法,建立簡單適用的組合箱梁截面彎矩-曲率骨架曲線的三折線模型,在試驗(yàn)數(shù)據(jù)與理論分析的基礎(chǔ)上,獲得了組合箱梁正向及負(fù)向剛度退化規(guī)律表達(dá)式,并進(jìn)一步提出簡單明了的鋼-混凝土組合箱梁截面彎矩-曲率頂點(diǎn)指向型滯回模型。 (5)將本文提出的彎矩-曲率恢復(fù)力模型程序化,建立適合鋼-混凝土組合箱梁的彈塑性地震分析的多段變剛度桿單元剛度矩陣和適用于組合結(jié)構(gòu)數(shù)值計(jì)算的彎矩-曲率滯回模型轉(zhuǎn)化關(guān)系,結(jié)合本文提出的多段變剛度桿單元剛度矩陣及彎矩-曲率滯回模型轉(zhuǎn)化關(guān)系編制組合結(jié)構(gòu)彈塑性地震響應(yīng)時程分析計(jì)算程序。利用本文計(jì)算程序?qū)Σ煌O(shè)計(jì)參數(shù)的鋼-混凝土全組合框架結(jié)構(gòu)進(jìn)行彈塑性地震動力響應(yīng)計(jì)算,提出組合框架合理的抗震設(shè)計(jì)建議。
[Abstract]:Steel - concrete composite box girder has been widely used in bridge engineering and high - rise building , and there are some problems existing in the research of static dynamic performance of steel - concrete composite box beam at home and abroad .

( 1 ) In consideration of longitudinal warping caused by shear lag effect of concrete slab and steel beam bottom plate , shear lag control differential equation and boundary condition of steel - concrete simply - supported composite box girder under transverse load are derived by applying energy variational principle .

( 2 ) Considering the two important buckling modes of the lateral bending buckling and lateral bending buckling of the steel - concrete composite box girder in the negative bending moment area , the lateral bending buckling moment and the lateral bending bending moment calculation method of the negative bending moment area of the steel - concrete composite box girder are put forward based on the calculation method of the rotation constraint stiffness and the lateral restraint rigidity of the steel beam web on the steel beam bottom plate , and the theoretical defects existing in the existing calculation method are analyzed by examples , and the practicability and applicability of the calculation method are verified .

( 3 ) Considering the influence of multiple factors such as shear lag , slip , shear deformation and moment of inertia of the combined box girder , the control differential equation and natural boundary condition of the combined box girder are derived , and the natural frequency equation of the composite box girder with common boundary conditions is obtained , and a method for analyzing the self - vibration characteristics of the commonly used composite box beam in the engineering is proposed , and the validity of the method is verified by an example .
The dynamic response of the composite beam under arbitrary load is obtained by using the center difference method , and the result of the difference numerical calculation is compared with the finite element calculation result of ANSYS to prove the correctness of the method .

( 4 ) Four different shear connection degree and low - cycle repeated load test of steel - concrete simply - supported composite box girder are studied . The damage form , hysteretic rule , skeleton curve , ductility , energy consumption and stiffness degradation law of steel - concrete composite box girder are analyzed in - depth , and the influence of shear connection degree and web height - thickness ratio on the seismic behavior of steel - concrete composite box girder is investigated .
Considering the influence of shear connection degree and interface slippage , a three - fold line model of forward and negative - direction cross - section bending moment - curvature elastic stiffness and cross - section yield bending moment calculation method of combined box girder is proposed , and a simple and suitable three - fold line model of bending moment - curvature skeleton curve of combined box girder is established . Based on experimental data and theoretical analysis , the expression of positive and negative stiffness degradation law of composite box girder is obtained .

( 5 ) programming the bending moment - curvature restoring force model proposed in this paper , establishing a multi - section variable stiffness rod unit stiffness matrix suitable for the elastic - plastic seismic analysis of a steel - concrete composite box girder and a bending moment - curvature hysteresis model transformation relation which is suitable for the numerical calculation of the combined structure ;

【學(xué)位授予單位】：中南大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2013
【分類號】：TU398.9

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