本文選題：雙室箱梁　切入點(diǎn)：剪力流　出處：《蘭州交通大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

【摘要】：近年來，薄壁箱形截面梁的畸變效應(yīng)作為一個重要課題，在橋梁結(jié)構(gòu)設(shè)計和分析中不容忽視。本論文在國家自然科學(xué)基金：單箱多室箱梁的空間力學(xué)行為及一維梁段分析方法研究（51168030）和考慮索支撐作用的多室箱梁剪力滯效應(yīng)研究（51368031）基金下進(jìn)行研究的。針對正對稱荷載作用下單箱雙室箱梁的局部畸變效應(yīng)問題，基于閉口薄壁桿件理論，進(jìn)行了理論推導(dǎo)、理論計算、有限元數(shù)值模擬和有機(jī)玻璃模型試驗等方面的研究及對比分析，主要研究內(nèi)容如下： （1）針對正對稱荷載作用下單箱雙室箱梁，提出了將其截面的變形分解為剪力滯模式和扭轉(zhuǎn)、畸變模式的組合變形，從扭轉(zhuǎn)、畸變模式的變形中得到了正對稱荷載作用下單箱雙室箱梁截面在產(chǎn)生豎向彎曲變形的同時也有一定的局部扭轉(zhuǎn)和畸變。本文以薄壁桿件理論和初等梁理論為基礎(chǔ)，將中腹板處受集中荷載作用的單箱雙室箱梁截面從荷載作用位置左右對稱截開，根據(jù)截面彎曲剪力流平衡推導(dǎo)了截開后單室截面的等效荷載計算公式，利用荷載分解的方法從等效荷載中分離出了扭轉(zhuǎn)荷載和畸變荷載，建立了截開后半截面的畸變控制微分方程和約束扭轉(zhuǎn)控制微分方程，并通過彈性地基梁比擬法求得了截開后單室截面的畸變應(yīng)力。 （2）針對單箱雙室簡支梁在跨中截面和懸臂梁在自由端截面的中腹板處受集中荷載的情況，采用ANSYS有限元軟件中的SHELL63單元建立了空間板殼有限元數(shù)值模型。從ANSYS軟件輸出的應(yīng)力總值中利用荷載疊加的原理提取出了ANSYS板殼數(shù)值解，并將其與本文理論解進(jìn)行了對比，大量對比分析表明，本文的理論解和有限元模型的ANSYS板殼解的變化規(guī)律和數(shù)值大小均基本接近，證實(shí)了本文的理論推導(dǎo)是正確的且具有很好的精度。 （3）針對集中荷載正對稱作用在單箱雙室箱梁截面兩邊腹板上的情況，先使用荷載分解的方法將其等效成僅中腹板受力的荷載作用形式，再利用本文所提的理論計算出單箱雙室箱梁截面的局部畸變應(yīng)力并將其與ANSYS有限元數(shù)值解進(jìn)行了對比分析，分析結(jié)果表明，本文的理論解和ANSYS有限元數(shù)值解吻合良好，這說明，將兩種正對稱荷載的作用形式利用荷載分解的方法等效成一種荷載作用形式的方法是可行的，同時也進(jìn)一步反映了本文理論推導(dǎo)的正確性。 （4）根據(jù)畸變應(yīng)力與彎曲應(yīng)力的比值，引入了畸變率的概念。通過對畸變率的分析得到：單箱雙室截面頂板懸臂部位有最大的畸變率，而頂板和邊腹板交接部位畸變率最小。僅中腹板加載時，簡支梁跨中截面最大畸變率為32.16%，最小畸變率為8.94%；懸臂梁八分之一截面最大畸變率為56.36%，最小畸變率為18.89%。兩邊腹板正對稱加載時，簡支梁跨中截面最大畸變率為16.08%，最小畸變率為4.47%，懸臂梁八分之一截面最大畸變率為28.18%，最小畸變率為9.45%。結(jié)果表明，正對稱荷載作用下單箱雙室箱梁截面局部畸變應(yīng)力在彎曲應(yīng)力中占有很大的比例，在結(jié)構(gòu)計算中不容忽視，同時還可以得出，正對稱荷載在橫截面分布越均勻，其截面局部畸變效應(yīng)越不明顯。 （5）為進(jìn)一步深入了解單箱雙室箱梁的局部畸變問題，，利用有機(jī)玻璃建立了單箱雙室簡支箱梁室內(nèi)模型。針對跨中截面受正對稱集中荷載的三種作用形式，分別進(jìn)行了模型加載試驗，同樣采用荷載疊加原理的從試驗得到的應(yīng)力總值中提取出了單箱雙室箱梁截面局部畸變應(yīng)力的試驗值，并將截面局部畸變應(yīng)力的試驗值、ANSYS有限元數(shù)值解和本文理論解三方面進(jìn)行了對比分析，分析結(jié)果表明，三者的變化規(guī)律和數(shù)值大小均吻合良好。
[Abstract]:In recent years, the distortion effect of thin-walled box girder as an important subject in the design and analysis of bridge structures should not be ignored. In this paper, the National Natural Science Foundation of China: Research on analysis method of single box multi cell box girder space and the mechanical behavior of one-dimensional beam section (51168030) and considering the shear lag effect of cable support. Multi cell box Research (51368031) research fund. According to local distortion effect is symmetrical load of single box double room box girder, closed thin-walled bar theory based on the theoretical derivation of the theoretical calculation, study and comparative analysis of finite element numerical simulation and model test of organic glass and other aspects of the main research the contents are as follows:
(1) the role of the symmetrical loading of single box double room box girder, the deformation of the section is divided into shear lag mode and torsional mode combined distortion, deformation, deformation from torsion, distortion model derived in the symmetrical load of single box double room box girder has some local torsion and in the production of vertical bending distortion at the same time. This paper is based on the theory of thin-walled member and elementary beam theory, the web load of single box double room box girder section from the loading position symmetrical cut, according to the section bending shear flow balance is cut after the equivalent load section the calculation formula of the load by the decomposition method of equivalent load from isolated torsion load and distortion load, a cut half section distortion control differential equation and the constrained torsion control differential equation, and the elastic Based on beam analogy method cut after distortion section stress.
(2) for single box double room beams under concentrated load in the bilge plate at mid span section and a cantilever beam section at the free end of the situation, to establish a finite element numerical model of space shell element of SHELL63 is used ANSYS finite element software. ANSYS software from the output of the stress in the use of gross load superposition principle to extract the numerical solution of the ANSYS shell, and compares it with the theoretical solution, a comparative analysis shows that the size variation and the value of the theoretical solution and the finite element model of ANSYS plate solutions are basically close to, confirmed the theoretical derivation is correct and has very good accuracy.
(3) the concentrated load is symmetrical in the single box double room box girder on both sides of the web, the first to be equivalent to the load force only in the form of web service load decomposition method, and then calculate the local distortion of single box double room box girder section stress and ANSYS Co. numerical solutions are compared with the theoretical analysis. The analysis results show that the theoretical solutions and numerical solutions of the finite element method are in good agreement with the ANSYS, which shows that the two kinds of symmetrical load form using equivalent load decomposition method into a load of form method is feasible, and at the same time further reflect the correctness of the theoretical derivation.
(4) according to the ratio of distortion and bending stress, introduces the concept of distortion. Through the analysis of distortion rate: single box double room section cantilever roof part has the largest distortion rate, while the roof and side distortion of Web junction of minimum rate. Only in the web is loaded, simply supported Liang Kuazhong section the maximum distortion rate is 32.16%, the minimum distortion rate is 8.94%; the 1/8 section maximum cantilever beam distortion rate is 56.36%, the minimum distortion rate of 18.89%. is symmetric loading on both sides of the web, beam cross section maximum distortion rate is 16.08%, the minimum distortion rate is 4.47%, the 1/8 section maximum cantilever beam distortion rate is 28.18%, the minimum distortion rate 9.45%. results showed that the positive symmetrical load of single box double room box girder distortion stress in the bending stress in the large proportion in structural calculation can not be ignored, at the same time, we can also see that the charge is called The more uniform the cross section distribution is, the less obvious the local distortion effect of the cross section.
(5) for further study of the problem of local distortion of single box double room box girder, a single box double room box girder model with the organic glass. According to the three form of cross section by symmetrical concentrated loads, respectively model loading tests were carried out, using the same load from the superposition principle the test can be extracted out of gross stress test of single box double room box girder distortion stress value, and the test section of local distortion stress values, ANSYS finite element numerical solution and the theoretical solution of three aspects of the comparative analysis, the analysis results show that the variation and the value size three are in good agreement.

【學(xué)位授予單位】：蘭州交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：U441

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本文編號：1644411