板桁結(jié)合型加勁梁受力機(jī)理與計(jì)算理論研究
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本文關(guān)鍵詞:板桁結(jié)合型加勁梁受力機(jī)理與計(jì)算理論研究 出處:《長(zhǎng)安大學(xué)》2015年博士論文 論文類型:學(xué)位論文
更多相關(guān)文章: 大跨徑懸索橋 板桁結(jié)合型加勁梁 受力機(jī)理 傳力比 能量原理 連續(xù)化分析 剪力滯效應(yīng) 約束扭轉(zhuǎn)
【摘要】:本文以岳陽(yáng)洞庭湖大橋?yàn)楸尘?結(jié)合交通運(yùn)輸部建設(shè)科技項(xiàng)目《大跨徑鋼桁加勁梁懸索橋關(guān)鍵技術(shù)研究》(2013318798320),在總結(jié)國(guó)內(nèi)、外已有板桁結(jié)合型加勁梁理論與試驗(yàn)研究成果的基礎(chǔ)上,采用有限元仿真分析、理論推導(dǎo)方法對(duì)板桁結(jié)合型加勁梁的受力機(jī)理、連續(xù)化分析方法、考慮剪力滯與剪切效應(yīng)的彎曲計(jì)算理論及約束扭轉(zhuǎn)計(jì)算理論進(jìn)行了研究。本文主要研究?jī)?nèi)容和結(jié)論如下:采用板-梁混合精細(xì)有限元方法對(duì)結(jié)合型加勁梁的受力機(jī)理進(jìn)行了研究,得到了豎向橋面荷載在板桁結(jié)合型加勁梁橋面系的傳遞路徑與傳力比,研究了節(jié)間長(zhǎng)與主桁寬度比、節(jié)間橫梁數(shù)量、節(jié)點(diǎn)、節(jié)間橫梁豎向剛度比、節(jié)點(diǎn)橫梁與橋面板的豎向剛度比等參數(shù)變化對(duì)橋面系傳力比的影響,以表格的形式給出了不同板桁結(jié)合型加勁梁幾何尺寸參數(shù)對(duì)應(yīng)的橋面系傳力比數(shù)值,提出了橋面系傳力比之間的基本關(guān)系式及豎向橋面荷載作用下上弦桿、中央縱梁與橫聯(lián)桁架的簡(jiǎn)化受力模式。基于能量原理推導(dǎo)了板桁結(jié)合型加勁梁主桁架腹桿和平聯(lián)的連續(xù)化等效板厚計(jì)算公式,根據(jù)板桁結(jié)合型加勁梁連續(xù)化等效原則構(gòu)造了板桁結(jié)合型加勁梁的連續(xù)化等效截面;基于剛性扭轉(zhuǎn)與截面等翹曲假設(shè),采用數(shù)值積分方法推導(dǎo)了板桁結(jié)合型加勁梁等效截面扭轉(zhuǎn)剛度與U型肋正交異性鋼橋面板的剪切等效厚度計(jì)算公式。以岳陽(yáng)洞庭湖大橋?yàn)檠芯繉?duì)象,將連續(xù)化分析方法與精細(xì)有限元法的位移與應(yīng)力計(jì)算結(jié)果進(jìn)行了對(duì)比,結(jié)果表明連續(xù)化分析方法具有較高的計(jì)算精度,同時(shí)大幅提高了計(jì)算效率;诎彖旖Y(jié)合型加勁梁連續(xù)化分析方法,建立板桁結(jié)合型加勁梁剪力滯效應(yīng)分析理論模型,考慮正交異性鋼橋面板法向與切向等效厚度的差異,在采用附加翹曲位移法修正加勁梁軸力平衡條件的基礎(chǔ)上構(gòu)造了板桁結(jié)合型加勁梁鋼橋面板的剪力滯縱向翹曲位移函數(shù),基于能量變分原理推導(dǎo)了板桁結(jié)合型加勁梁剪力滯效應(yīng)控制微分方程,獲得了靜定板桁結(jié)合型加勁梁剪力滯效應(yīng)計(jì)算公式,采用精細(xì)有限元方法驗(yàn)證了理論公式的正確性;最后,結(jié)合橋面板有效寬度系數(shù)定義,給出了可供設(shè)計(jì)取用的靜定板桁結(jié)合型加勁梁鋼橋面板有效寬度系數(shù)公式;谀芰孔兎衷硗茖(dǎo)了考慮剪力滯與剪切效應(yīng)影響的板桁結(jié)合型加勁梁豎向撓度曲線公式,結(jié)合靜定板桁結(jié)合型加勁梁算例分析了剪力滯與剪切效應(yīng)對(duì)豎向撓度的提高程度,結(jié)果表明剪切附加撓度占總撓度的比例為30%~50%,而剪力滯效應(yīng)附加撓度的比例不超過10%;根據(jù)板桁結(jié)合型加勁梁桁架體系的剪切與軸向受力特點(diǎn),推導(dǎo)了主桁架、K形平聯(lián)及X形平聯(lián)桿件軸力計(jì)算公式;基于板桁結(jié)合型加勁梁橋面荷載傳遞機(jī)理,推導(dǎo)了“W”形橫聯(lián)桁架內(nèi)、外腹桿的軸力計(jì)算公式?紤]鋼正交異性橋面板、主桁架、平聯(lián)桁架法向與切向等效厚度的差異,采用連續(xù)化方法將板桁結(jié)合型加勁梁等效為薄壁箱梁,推導(dǎo)了計(jì)入弦桿單元影響的薄壁單元剪切受力平衡條件,得到了約束扭轉(zhuǎn)正應(yīng)力與薄壁約束扭轉(zhuǎn)剪力流計(jì)算公式;基于烏式第二理論的一般原則建立板桁結(jié)合型加勁梁截面的約束扭轉(zhuǎn)控制微分方程,采用初參數(shù)法獲得了板桁結(jié)合型加勁梁截面扭轉(zhuǎn)角θ、約束扭轉(zhuǎn)程度β'、約束扭轉(zhuǎn)雙力矩B以及截面翹曲扭矩Tω的計(jì)算公式;為了更有效的求解板桁結(jié)合型加勁梁的扭轉(zhuǎn)效應(yīng),依據(jù)薄壁梁彎曲、扭轉(zhuǎn)幾何特征的求解過程,推導(dǎo)了板桁結(jié)合型加勁梁截面的彎曲、扭轉(zhuǎn)幾何特征參數(shù)計(jì)算公式。采用文中提出的連續(xù)化分析方法與板-梁混合精細(xì)有限元方法對(duì)大跨徑懸索橋板桁結(jié)合型加勁梁的彎曲與彎扭受力性能進(jìn)行了研究。得到了橋面移動(dòng)荷載與橫橋向風(fēng)荷載作用下,懸索橋板桁結(jié)合型加勁梁整體、局部構(gòu)件的變形與受力特點(diǎn);對(duì)比分析了橋面板與弦桿是否結(jié)合對(duì)加勁梁變形與受力的影響;研究了結(jié)構(gòu)體系對(duì)懸索橋板桁結(jié)合型加勁梁變形與受力的影響。
[Abstract]:Based on the background of Yueyang Dongting Lake bridge, combined with the research on the key technology of the Ministry of transport on the construction project of science and technology "of long span steel truss girder suspension bridge (2013318798320), in the summary of domestic and abroad, combined with the basic type of plate truss girder theory and experimental research results, analyzed by finite element simulation, theoretical derivation method of the force mechanism of the stiffening girder type of plate truss, the method of continuous analysis, bending calculation theory and the constraint of shear lag and shear effect calculation of torsion theory is studied. The main research contents and conclusions are as follows: using plate beam mixed fine finite element method to combine force mechanism of the stiffening girder is studied. The vertical load on the bridge with a plate truss composite girder deck type transmission path and the ratio of transmission, the internode length and width of the main truss, beam number of nodes, internodes, internode crossbeam vertical stiffness Ratio, vertical node beam and bridge deck stiffness ratio parameters on deck force transmission ratio, are given in the form of table force of deck plate girder with different type girder geometry parameters corresponding to the forward force transmission ratio, deck basic relationship between type and ratio vertical deck loads upper chord, longitudinal and transverse truss simplified central force model. The energy principle is derived with the formula of thick plate truss stiffening girder of the main truss type peace continuous equivalent plate based on the plate truss composite girder according to the type of continuous effect principle is constructed with continuous plate truss equivalent cross section girder; torsion and warping based on rigid section assumption, the numerical integration method is combined with the type of plate truss girder section equivalent torsional shear stiffness and equivalent thickness of U ribbed orthotropic steel deck. Formula. The Dongting Lake bridge in Yueyang as the research object, the displacement continuity analysis method and finite element method and stress calculation results were compared. The results show that the continuous analysis method has high calculation precision, and greatly improves the computational efficiency. The combination of plate truss type girder continuous method based on established plate truss composite steel girder shear lag effect analysis of theoretical model, considering the orthotropic steel deck of normal and tangential equivalent thickness difference, based on the additional equilibrium condition of warping displacement correction method of stringer on constructed plate truss composite girder deck shear lag type longitudinal warping displacement function, energy the principle of derivation of plate truss composite steel girder shear lag effect control based on the differential equations, the calculation formula of static plate truss stiffening girder with shear lag effect, using a fine To verify the correctness of the theoretical formula of the finite element method; finally, combined with the effective width of slab coefficient is defined is given for design for static plate truss composite girder type steel deck plate truss. The effective width coefficient formula of the energy variational principle is derived considering the effect of shear lag and shear effect of stiffening girder the vertical deflection curve based on the formula, combined with the static plate truss composite analyses of shear lag and shear effect to improve the degree of vertical deflection calculation results show that the shear type of beam, the additional deflection total deflection ratio of 30%~50%, and the shear lag effect of the additional deflection ratio does not exceed 10%; according to the plate girder with shear and axial type of stiffening girder truss stress characteristic, deduced the main truss, K flat and X flat with the axial force calculation formula; plate truss composite girder type bridge based on load transfer mechanism of the surface, is "W" shaped cross Combined truss, calculation formula of axial force and web members. In consideration of the steel orthotropic bridge deck, main truss, flat truss method and tangential to the difference of equivalent thickness, with the continuous method of plate truss composite girder type equivalent thin-walled box beam, thin wall shear is derived considering the influence of chord unit the force balance condition, the normal stress and the restrained torsion of thin-walled restrained torsion shear flow calculation formula; the general principles of Ukraine second theories of plate truss composite girder type section constrained torsion control differential equation based on the plate truss composite girder type cross-section twist angle using the initial parameter method, constrained torsion the degree of beta ', B and double moment torsion warping torque calculation formula of T.; in order to reverse the effect of stiffening girder plate truss combined to solve more effectively, on the basis of thin-walled beam bending, torsion process of solving the geometrical characteristics of the plate is deduced With curved truss stiffening girder section, calculation formula of torsional geometric characteristic parameters. With the continuous analysis method proposed in this paper and board - beam hybrid fine finite element method of long-span suspension bridge with truss bending and torsion type girder's force were studied. The effects of the moving loads on the bridge deck and cross bridge wind load, suspension bridge with truss girder type whole deformation characteristics of local components and stress; comparative analysis of the bridge deck and chord combined effects on girder deformation and stress; study the structure system combined with the influence of deformation and stress of girder type of suspension bridge truss.
【學(xué)位授予單位】:長(zhǎng)安大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2015
【分類號(hào)】:U441
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