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邊界條件對高橋墩穩(wěn)定性及有效長度的影響分析與研究

發(fā)布時(shí)間:2018-01-09 13:10

  本文關(guān)鍵詞:邊界條件對高橋墩穩(wěn)定性及有效長度的影響分析與研究 出處:《重慶交通大學(xué)》2015年碩士論文 論文類型:學(xué)位論文


  更多相關(guān)文章: 高橋墩 臨界力 計(jì)算長度系數(shù) 靜力法 地基系數(shù)


【摘要】:隨著公路交通運(yùn)輸事業(yè)的發(fā)展,山區(qū)修建的橋梁日益增多。由于山區(qū)地形特點(diǎn)為溝深、坡陡,橋梁的橋墩往往較高。但是《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》(JTG D62-2004)第5.3.1條第(2)款,僅給出理想邊界條件下計(jì)算長度系數(shù)的取值。事實(shí)上橋墩的邊界條件比較復(fù)雜,墩底樁土作用非理想固結(jié);墩頂有支座縱橫向的約束,其邊界條件既非固結(jié)、也非鉸接。本文主要是從以下兩個(gè)方面來研究橋墩的穩(wěn)定性及橋墩計(jì)算長度系數(shù)的取值:①當(dāng)橋墩樁基作用于剛性地基時(shí),認(rèn)為墩底的邊界條件為固結(jié);橋墩墩頂有普通板式橡膠支座時(shí),認(rèn)為墩頂?shù)倪吔鐥l件是彈性連接。在這種邊界條件下把橋墩簡化為一理想中心受壓桿,用靜力法進(jìn)行橋墩穩(wěn)定方程的推導(dǎo)。然后用有限元軟件求解數(shù)值解并與公式解進(jìn)行對比分析。最后根據(jù)數(shù)值解得到的橋墩計(jì)算長度系數(shù),并獲得其與橋墩墩高、橋墩墩徑的關(guān)系曲面圖,由該曲面圖可以擬合出一個(gè)簡化公式。②當(dāng)橋墩樁基作用于不同地基系數(shù)的彈性地基中時(shí),認(rèn)為墩底的邊界條件為彈性連接;橋墩施工階段或作用有普通板式橡膠支座時(shí),把墩頂?shù)倪吔鐥l件當(dāng)做是墩頂自由或墩頂彈性連接。在這種邊界條件下把橋墩簡化為一理想中心受壓桿,用靜力法進(jìn)行穩(wěn)定方程的推導(dǎo);最后應(yīng)用有限元軟件求得數(shù)值解并與公式解進(jìn)行對比分析。通過本文的研究,推導(dǎo)了橋墩墩底固結(jié)而墩頂為彈性連接,墩底為彈性連接而墩頂自由或墩頂彈性連接狀態(tài)下橋墩的臨界力求解公式,并用數(shù)值驗(yàn)證了其正確性。該公式是一個(gè)關(guān)于臨界荷載的超越穩(wěn)定方程,借用Excel軟件就可以得出臨界力從而得出計(jì)算長度系數(shù)。
[Abstract]:With the development of highway transportation, more and more bridges are built in mountainous areas. The piers of bridges tend to be high. But the Code for Design of reinforced concrete and Prestressed concrete Bridges and culverts on Highway (JTG D62-2004) Article 5.3.1 (2). In fact, the boundary conditions of bridge piers are quite complex, and the pile-soil action at the bottom of the piers is not ideal consolidation. The top of the pier is constrained by the vertical and horizontal direction of the support, and the boundary condition is neither consolidated. In this paper, the stability of the pier and the value of the calculated length coefficient of the pier are studied from the following two aspects: 1. When the pile foundation of the pier acts on the rigid foundation, the boundary condition of the pier bottom is considered as consolidation; When the top of the pier has a common plate rubber bearing, the boundary condition of the pier top is considered as elastic connection. Under this boundary condition, the pier is simplified as an ideal central compression rod. The static method is used to deduce the stability equation of the bridge pier. Then the numerical solution is solved by finite element software and compared with the formula solution. Finally, the length coefficient of the pier is calculated according to the numerical solution, and the height of the pier is obtained. A simplified formula .2 when the pier pile foundation acts on the elastic foundation with different foundation coefficients, the boundary condition of the pier bottom is considered to be elastic connection. In the stage of bridge pier construction or when the ordinary plate rubber bearing is used, the boundary condition of the pier top is regarded as the free connection of the pier top or the elastic connection of the pier top. Under this boundary condition, the pier is simplified as an ideal central compression rod. The stability equation is derived by static method. Finally, the numerical solution is obtained by the finite element software and compared with the formula solution. Through the research of this paper, the consolidation of the pier bottom and the elastic connection at the top of the pier are deduced. In the case of elastic connection at the bottom of the pier and free at the top of the pier or elastic connection at the top of the pier, the critical solution formula of the pier is verified by numerical results. The formula is a transcendental stability equation for critical loads. By using Excel software, the critical force can be obtained and the calculated length coefficient can be obtained.
【學(xué)位授予單位】:重慶交通大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:U443.22

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