發(fā)布時(shí)間：2018-04-22 00:29

  本文選題：薄壁箱梁 + 剪力滯后��； 參考：《河北工程大學(xué)》2014年碩士論文

【摘要】：箱形截面具有利用效率高,抗彎抗扭剛度大等特點(diǎn)，因此在橋梁結(jié)構(gòu)中得到了廣泛應(yīng)用。然而箱形截面梁橋在外荷載作用下縱向彎曲時(shí)存在剪力滯后現(xiàn)象,若忽略此現(xiàn)象將會(huì)低估箱梁結(jié)構(gòu)產(chǎn)生的實(shí)際應(yīng)力,使得結(jié)構(gòu)不安全。隨著箱形梁橋向長(zhǎng)懸臂板、大肋間距的簡(jiǎn)潔型單箱單室截面方向發(fā)展，其剪力滯效應(yīng)日益受到人們關(guān)注。鑒于實(shí)際工程的需要，箱形截面梁橋剪力滯效應(yīng)的研究不容忽視。 本文以薄壁桿件的彎曲和扭轉(zhuǎn)理論為基礎(chǔ)，以箱形截面梁橋?yàn)榉治鰧?duì)象，放棄了符拉索夫提出的沿桿件橫截面剪應(yīng)變等于零的假定,計(jì)及其剪切變形，建立箱形截面梁橋彎扭分析的哈密頓對(duì)偶求解體系，此體系摒棄了初等梁理論和烏曼斯基理論對(duì)縱向翹曲位移的假定，用插值的思想描述結(jié)構(gòu)的縱向翹曲位移，，能很好地描述剪力滯后現(xiàn)象。對(duì)此求解體系，運(yùn)用兩端邊值問(wèn)題的精細(xì)積分法，通過(guò)MATLAB語(yǔ)言編制的程序求解結(jié)構(gòu)在彎扭作用下的縱向翹曲位移和翹曲正應(yīng)力。選擇不同的箱型截面梁作為算例，在結(jié)構(gòu)上施加不同的外荷載，通過(guò)具體算例的求解并與其他文獻(xiàn)方法進(jìn)行對(duì)比，表明本文方法的合理性與可行性，為箱形橋梁的設(shè)計(jì)提供一定的參考。 本文提出了一種新的分析箱形截面梁橋的理論方法，構(gòu)造了一個(gè)十分靈活的樣條函數(shù)的插值系統(tǒng)。方法采用分段三次樣條函數(shù)模擬桿件橫截面的翹曲位移場(chǎng),并考慮了桿壁中面上剪切變形的影響,能有效地反映剪力滯后效應(yīng)。分段三次樣條函數(shù)以實(shí)際的結(jié)點(diǎn)位移為未知量,易于滿足橫截面各分肢交接處的位移協(xié)調(diào)；而且每個(gè)分肢劃分結(jié)點(diǎn)的數(shù)目可以不同,從而增加了方法的靈活性；這套樣條插值系統(tǒng)特別適用于帶分肢截面形狀的薄壁結(jié)構(gòu),為樣條函數(shù)的應(yīng)用開(kāi)辟了一條新的途徑。本課題的研究成果可供橋梁工程的研究和設(shè)計(jì)人員借鑒。
[Abstract]:Box section is widely used in bridge structure because of its high utilization efficiency and high bending and torsional stiffness. However, there is shear lag phenomenon in the longitudinal bending of box section girder bridge under external load. If this phenomenon is ignored, the actual stress generated by box girder structure will be underestimated, which makes the structure unsafe. With the development of box girder bridge towards long cantilever plate, the shear lag effect of single box and single chamber section with large rib spacing has been paid more and more attention. In view of the need of practical engineering, the study of shear lag effect of box girder bridge can not be ignored. Based on the theory of bending and torsion of thin-walled members and taking the box section girder bridge as the analysis object, the assumption that the shear strain along the cross section of the member is equal to zero is abandoned in this paper, and the shear deformation is taken into account. A Hamiltonian dual solution system for bending and torsional analysis of box girder bridges is established. The assumption of longitudinal warping displacement of the structure is abandoned by elementary beam theory and Umansky theory, and the longitudinal warping displacement of the structure is described by interpolation. The phenomenon of shear lag can be described well. In this system, the precise integration method of the boundary value problem at both ends is used to solve the longitudinal warping displacement and warpage normal stress of the structure under the action of bending and torsion by the program compiled by MATLAB language. Different box section beams are selected as examples, and different external loads are applied on the structure. By solving the concrete examples and comparing them with other literature methods, the rationality and feasibility of this method are shown. It provides some reference for the design of box bridge. In this paper, a new theoretical method for analyzing box section beam bridges is presented, and a very flexible interpolation system of spline functions is constructed. Methods the warping displacement field of the cross section of the bar is simulated by using the piecewise cubic spline function, and the effect of shear deformation on the middle plane of the bar wall is taken into account, which can effectively reflect the shear lag effect. The piecewise cubic spline function takes the actual node displacement as an unknown quantity, which is easy to meet the displacement coordination of the cross section, and the number of nodes in each limb partition can be different, thus increasing the flexibility of the method. The spline interpolation system is especially suitable for thin-walled structures with split limb section, which opens a new way for the application of spline function. The research results of this subject can be used for reference by bridge engineering researchers and designers.
【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】：2014
【分類號(hào)】：U441;U448.213

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