本文選題：曲線梁橋　切入點(diǎn)：車橋耦合振動(dòng)　出處：《湖南大學(xué)》2014年碩士論文

【摘要】：近年來隨著我國(guó)交通基礎(chǔ)設(shè)施的快速發(fā)展，曲線連續(xù)梁橋被大量使用于高速公路跨線互通、大跨橋梁引橋和城市立交中，其中絕大部分曲線梁橋?yàn)轭A(yù)應(yīng)力混凝土曲線梁橋。曲線梁橋靜力計(jì)算理論經(jīng)過近幾十年的發(fā)展已基本完善，但曲線連續(xù)梁橋動(dòng)力效應(yīng)的研究相對(duì)較弱。我國(guó)曲線梁橋汽車載沖擊系數(shù)的確定尚缺乏相關(guān)的規(guī)范條文，工程設(shè)計(jì)實(shí)踐中只能參考直線梁橋的沖擊系數(shù)確定方法。因此，，開展曲線梁橋車橋耦合振動(dòng)研究對(duì)于曲線梁橋的設(shè)計(jì)具有重要的意義。本文采用數(shù)值模擬方法對(duì)曲線梁橋車橋耦合振動(dòng)理論進(jìn)行研究，進(jìn)而采用MATLAB編寫了曲線梁橋車橋耦合振動(dòng)程序，并針對(duì)一公路曲線梁橋進(jìn)行了車橋耦合振動(dòng)計(jì)算，最后對(duì)一座實(shí)際曲線梁橋進(jìn)行了車橋耦合振動(dòng)現(xiàn)場(chǎng)實(shí)測(cè)研究，并與本文開發(fā)的曲線梁橋車橋耦合振動(dòng)程序計(jì)算結(jié)果進(jìn)行比較，驗(yàn)證了本文開發(fā)程序的可靠性。論文的主要研究?jī)?nèi)容如下： (1)在簡(jiǎn)要綜述國(guó)內(nèi)外車—橋耦合振動(dòng)研究現(xiàn)狀的基礎(chǔ)上，重點(diǎn)對(duì)曲線梁橋車橋耦合振動(dòng)研究現(xiàn)狀進(jìn)行了綜述，并給出了本文主要研究?jī)?nèi)容和研究技術(shù)路線。 (2)論述了曲線梁橋結(jié)構(gòu)動(dòng)力有限元分析基本理論，采用空間梁?jiǎn)卧⑼茖?dǎo)了其單元質(zhì)量矩陣、剛度矩陣、阻尼矩陣、荷載列陣及單元運(yùn)動(dòng)方程，組集整體剛度矩陣。采用Newmark-β求解結(jié)構(gòu)動(dòng)力響應(yīng)，基于MATLAB平臺(tái)開發(fā)了曲線梁橋結(jié)構(gòu)動(dòng)力響應(yīng)分析程序。 (3)基于剛體動(dòng)力學(xué)和車輛動(dòng)力學(xué)假設(shè)，將車輛離散為彈簧單元和質(zhì)量單元，推導(dǎo)了三維整體車輛模型的運(yùn)動(dòng)方程。采用傅立葉逆變換方法模擬路面不平度，并編寫了相應(yīng)的路面不平整度模擬程序，并模擬了國(guó)家標(biāo)準(zhǔn)(GB/T7031-86)規(guī)定的A、B、C三種路面粗糙度對(duì)應(yīng)的路面不平整時(shí)程信號(hào)，為后續(xù)的曲線梁橋車橋耦合振動(dòng)研究奠定了基礎(chǔ)。 (4)根據(jù)車橋耦合振動(dòng)的基本理論，采用Newmark-β求解結(jié)構(gòu)動(dòng)力響應(yīng)，基于MATLAB開發(fā)了曲線梁橋車橋耦合振動(dòng)分析程序，并與ANSYS軟件計(jì)算結(jié)果進(jìn)行了比較，最后對(duì)一座實(shí)際曲線梁橋進(jìn)行了車橋耦合振動(dòng)現(xiàn)場(chǎng)實(shí)測(cè)研究，并與本文開發(fā)的曲線梁橋車橋耦合振動(dòng)程序計(jì)算結(jié)果進(jìn)行比較，驗(yàn)證了本文開發(fā)程序的可靠性。 (5)分別考慮路面不平整度、曲率半徑、車輛行駛偏心、橋梁結(jié)構(gòu)阻尼比、橋梁跨數(shù)、主梁的支撐形式等參數(shù)，對(duì)公路曲線梁橋車橋耦合振動(dòng)影響。
[Abstract]:In recent years, with the rapid development of transportation infrastructure in China, curved continuous beam bridges are widely used in highway cross-line intercommunication, long-span bridge approach bridge and urban interchange. Most of the curved girder bridges are prestressed concrete curved girder bridges. The static calculation theory of curved girder bridges has been basically improved after decades of development. However, the study of dynamic effect of curved continuous beam bridge is relatively weak. The determination of impact coefficient of automobile load of curved girder bridge in our country is still lack of relevant regulations. In engineering design, the method of determining impact coefficient of straight beam bridge can only be referred to. The study of vehicle-bridge coupling vibration of curved girder bridge is of great significance for the design of curved beam bridge. In this paper, the theory of vehicle-bridge coupling vibration of curved girder bridge is studied by numerical simulation. Furthermore, the program of vehicle-bridge coupling vibration of curved girder bridge is compiled by using MATLAB, and the vehicle-bridge coupling vibration is calculated for a highway curved girder bridge. Finally, the field measurement of vehicle-bridge coupling vibration of an actual curved beam bridge is carried out. The reliability of the program is verified by comparing with the calculation results of the curve beam bridge vehicle-bridge coupling vibration program developed in this paper. The main contents of this paper are as follows:. 1) on the basis of a brief review of the research status of vehicle-bridge coupling vibration at home and abroad, the research status of vehicle-bridge coupling vibration of curved girder bridge is summarized, and the main research content and technical route of this paper are given. In this paper, the basic theory of dynamic finite element analysis of curved beam bridges is discussed. The element mass matrix, stiffness matrix, damping matrix, load array and element motion equation are derived by using space beam element. The dynamic response of curved girder bridge is solved by Newmark- 尾, and the dynamic response of curved beam bridge is developed based on MATLAB platform. Based on the assumptions of rigid body dynamics and vehicle dynamics, the vehicle is discretized into spring element and mass element, and the motion equation of 3D vehicle model is derived. The inverse Fourier transform method is used to simulate the road roughness. The simulation program of road roughness is compiled, and the time history signal of road roughness corresponding to three kinds of road roughness specified in GB / T7031-86) is simulated, which lays a foundation for the further study of vehicle-bridge coupling vibration of curved girder bridge. 4) according to the basic theory of vehicle-bridge coupling vibration, Newmark- 尾 is used to solve the structural dynamic response. Based on MATLAB, the analysis program of vehicle-bridge coupling vibration of curved girder bridge is developed, and the calculation results are compared with those of ANSYS software. Finally, a real curved girder bridge is studied in the field of vehicle-bridge coupling vibration, and the results are compared with the calculation results developed in this paper, which verify the reliability of the program developed in this paper. The influence of road roughness, radius of curvature, vehicle eccentricity, damping ratio of bridge structure, number of bridge span and support form of main beam on vehicle-bridge coupling vibration is considered respectively.
【學(xué)位授予單位】：湖南大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：U441.3

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