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梁—拱組合橋梁拱梁相互作用分析

發(fā)布時(shí)間:2018-02-28 18:41

  本文關(guān)鍵詞: 梁拱組合橋梁 集中荷載 均布荷載 協(xié)作機(jī)理 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】:梁拱組合橋梁顧名思義是在拱式橋梁結(jié)構(gòu)中,將梁和拱兩種基本結(jié)構(gòu)組合起來(lái),共同承擔(dān)荷載。該類橋型集結(jié)了兩者的優(yōu)點(diǎn),,使得結(jié)構(gòu)受力合理,材料利用率高并且造型美觀。常見(jiàn)的梁拱組合橋梁有平行式和提籃式兩種類型。本文針對(duì)平行式梁拱組合橋梁推導(dǎo)出了相應(yīng)的實(shí)用計(jì)算公式,并對(duì)拱梁相互作用機(jī)理及影響因素進(jìn)行探究。 (1)將均布荷載作用下連續(xù)梁拱組合橋梁的吊桿力模擬成均布膜張力。根據(jù)結(jié)構(gòu)力學(xué)的方法,推導(dǎo)出該類橋型在均布荷載作用下的實(shí)用計(jì)算公式。結(jié)合工程實(shí)例與有限元計(jì)算結(jié)果進(jìn)行比較,并對(duì)公式計(jì)算結(jié)果的誤差原因進(jìn)行了分析。其后分別采用“四次拋物線”型膜張力修正了均布膜張力;采用余弦形式的膜張力修正了連續(xù)膜張力,并提出了相應(yīng)的修正系數(shù); (2)探究了拱、梁軸向變形對(duì)吊桿膜張力及拱肋和主梁變形的影響,并對(duì)柔性系桿剛性拱的計(jì)算公式進(jìn)行了簡(jiǎn)化; (3)從靜態(tài)和動(dòng)態(tài)兩個(gè)方面,對(duì)連續(xù)梁拱組合橋梁的變形協(xié)調(diào)條件提出了兩種不同的解釋; (4)根據(jù)結(jié)構(gòu)力學(xué)的方法,推導(dǎo)出連續(xù)梁拱組合橋梁的彈性中心,并對(duì)影響彈性中心的因素及關(guān)系進(jìn)行了分析; (5)根據(jù)結(jié)構(gòu)力學(xué)的方法,推導(dǎo)出了集中荷載作用下連續(xù)梁拱組合橋梁的主梁、拱肋及吊桿的內(nèi)力影響線。探究了梁拱截面抗彎剛度比、矢跨比及荷載作用位置對(duì)結(jié)構(gòu)內(nèi)力的影響; (6)在等效膜張力假定的前提下,推導(dǎo)出連續(xù)梁拱組合橋梁的拱梁荷載比、拱梁內(nèi)力比和拱梁變形比的實(shí)用計(jì)算公式。分析了梁拱截面抗彎剛度比、拱肋矢跨比、主梁邊中跨徑比、吊桿等代抗彎剛度及拱梁軸向剛度系數(shù)對(duì)結(jié)構(gòu)內(nèi)力的影響規(guī)律。并從以上三個(gè)方面,探究了梁拱組合橋梁拱、梁相互作用機(jī)理。
[Abstract]:Beam-arch composite bridge is, as the name implies, that in the arch bridge structure, two basic structures of beam and arch are combined to bear the load together. The material utilization ratio is high and the shape is beautiful. There are two types of beam and arch composite bridge: parallel type and basket type. This paper deduces the corresponding practical calculation formula for parallel beam and arch composite bridge. The mechanism and influencing factors of arch-beam interaction are also discussed. 1) the suspension force of continuous beam-arch composite bridge under uniform load is simulated to uniform film tension. According to the method of structural mechanics, The practical calculation formula of this kind of bridge under uniform load is deduced, and the results of finite element calculation are compared with engineering examples. The error causes of the formula calculation results are analyzed. After that, the uniform film tension is corrected by the "four times parabola" membrane tension, the continuous membrane tension is corrected by the cosine form, and the corresponding correction coefficient is put forward. 2) the influence of the axial deformation of arch and beam on the membrane tension of suspender, the deformation of arch rib and main beam is investigated, and the calculation formula of flexible rigid arch is simplified. (3) from static and dynamic aspects, two different interpretations of deformation coordination conditions of continuous beam-arch composite bridges are put forward. 4) according to the method of structural mechanics, the elastic center of continuous beam-arch composite bridge is deduced, and the factors affecting the elastic center are analyzed. 5) according to the method of structural mechanics, the main beam, arch rib and suspender of continuous beam-arch composite bridge under concentrated load are derived, and the ratio of bending stiffness to bending stiffness of beam and arch section is discussed. The influence of rise-span ratio and load position on the internal force of the structure; 6) on the premise of the assumption of equivalent membrane tension, the practical formulas for calculating the load ratio of arch beam, internal force ratio of arch beam and deformation ratio of arch beam of continuous beam and arch composite bridge are derived. The bending stiffness ratio of beam and arch section and the ratio of arch rib span to span are analyzed. The influence of the ratio of span to span, the equivalent flexural stiffness of suspenders and the coefficient of axial stiffness of arch beam on the internal force of the structure is studied, and the interaction mechanism of beam and arch is discussed from the above three aspects.
【學(xué)位授予單位】:蘭州交通大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類號(hào)】:U441

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