本文選題：剪力滯 + 剪切變形��； 參考：《廣西大學(xué)》2014年碩士論文

【摘要】：箱型梁結(jié)構(gòu)因具有良好的結(jié)構(gòu)性能而在大跨度橋梁結(jié)構(gòu)中廣泛采用。具有寬大翼板的箱型梁結(jié)構(gòu)在對稱彎曲荷載作用下,剪力滯效應(yīng)明顯,導(dǎo)致翼板正應(yīng)力沿橫向不均勻分布,結(jié)構(gòu)的整體抗彎性能也有所降低,使得箱梁結(jié)構(gòu)存在結(jié)構(gòu)失穩(wěn)或局部破壞的安全隱患,在橋梁建設(shè)中不容忽視。另一方面,箱型梁橫截面腹板面積較小,結(jié)構(gòu)的抗剪能力差,剪切效應(yīng)明顯,忽略該效應(yīng)將低估箱梁結(jié)構(gòu)響應(yīng)量,嚴(yán)重影響結(jié)構(gòu)安全性。本文圍繞箱型梁剪力滯效應(yīng)和剪切效應(yīng)開展了相關(guān)研.究。 (1)研究發(fā)展了基于附加撓度的箱型梁剪力滯解析理論及其一維離散有限元法,并將其應(yīng)用于變高度箱梁中。結(jié)合最小勢能原理建立了基于附加撓度的箱型梁剪力滯效應(yīng)分析能量變分法,并基于撓度定義剪力滯系數(shù)；推導(dǎo)了基于附加撓度的箱型梁剪力滯效應(yīng)分析的一維離散有限元格式,位移函數(shù)采用精度較高的三次插值求解變截面箱型梁的剪力滯效應(yīng)。 (2)建立了基于附加撓度的箱型梁剪力滯和剪切雙重效應(yīng)分析的能量變分法。分析了跨高比和寬高比對剪力滯效應(yīng)和剪切效應(yīng)的影響規(guī)律；提出附加軸力比的概念,驗證縱向位移函數(shù)的合理性及截面軸向力平衡條件。 (3)建立了基于附加撓度的箱型梁剪力滯和剪切變形雙重效應(yīng)分析的一維離散有限元法。以附加撓度、轉(zhuǎn)角和撓度及其一階導(dǎo)數(shù)作為節(jié)點位移參數(shù),導(dǎo)出勢能泛函的矩陣表達(dá)式,并表出單元剛度矩陣的顯式表達(dá)式,為復(fù)雜結(jié)構(gòu)的剪力滯和剪切變形雙效應(yīng)研究提供具有較高計算精度和計算效率的數(shù)值分析方法。
[Abstract]:Box girder structure is widely used in long-span bridge structure because of its good structural performance. Under symmetrical bending load, the shear lag effect of the box girder structure with wide wing plate is obvious, which leads to the uneven distribution of normal stress along the transverse direction, and the overall bending resistance of the structure is also reduced. It makes box girder structure unstable or local damage, which can not be ignored in bridge construction. On the other hand, the cross section web area of box girder is small, the shear capacity of the structure is poor, and the shear effect is obvious. Neglecting this effect will underestimate the response of box girder structure and seriously affect the structural safety. This paper focuses on the shear lag effect and shear effect of box girder. Research. 1) the analytical theory of box girder shear lag based on additional deflection and its one-dimensional discrete finite element method are developed and applied to variable height box girder. Based on the principle of minimum potential energy, the energy variation method for the analysis of shear lag effect of box girder based on additional deflection is established, and the shear lag coefficient is defined based on deflection. The one-dimensional discrete finite element scheme for box girder shear lag analysis based on additional deflection is derived. The displacement function is used to solve the shear lag effect of box girder with variable cross-section by cubic interpolation with high precision. (2) an energy variational method for the analysis of shear lag and shear double effects of box girder based on additional deflection is established. The influence of span height ratio and width height ratio on shear lag effect and shear effect is analyzed, and the concept of additional axial force ratio is proposed to verify the rationality of longitudinal displacement function and the axial force balance condition of section. A one-dimensional discrete finite element method is developed to analyze the double effects of shear lag and shear deformation of box girder based on additional deflection. Taking the additional deflection, rotation angle, deflection and their first derivative as the node displacement parameters, the matrix expression of the potential energy functional is derived, and the explicit expression of the element stiffness matrix is given. A numerical analysis method with high accuracy and efficiency is provided for the study of the double effects of shear lag and shear deformation of complex structures.
【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：U448.213

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 張士鐸 ,丁蕓;變截面懸臂箱梁負(fù)剪力滯差分解[J];重慶交通學(xué)院學(xué)報;1984年04期

2 丁南宏;林麗霞;錢永久;;變截面箱梁剪力滯及剪切變形效應(yīng)近似計算方法[J];鐵道科學(xué)與工程學(xué)報;2011年01期

3 劉世忠,吳亞平,夏e，

本文編號：1890451