本文選題：懸索橋　切入點(diǎn)：主纜線形　出處：《重慶交通大學(xué)》2015年碩士論文

【摘要】：懸索橋是以主纜為主要承重結(jié)構(gòu)的橋梁,由于懸索橋跨越能力大,造型優(yōu)美,經(jīng)濟(jì)合理,因而是大跨度橋梁的首選橋型。為了對寸灘長江大橋進(jìn)行準(zhǔn)確的施工監(jiān)控,同時也針對懸索橋主纜具有強(qiáng)烈?guī)缀畏蔷�性的特點(diǎn),本文以懸索橋主纜為重點(diǎn)研究對象,并以在建的寸灘長江大橋?yàn)楣こ瘫尘斑M(jìn)行了計(jì)算分析,探討了懸索橋主纜的線形計(jì)算理論和幾何非線性有限元理論,并探索了一些實(shí)用的計(jì)算分析方法。本文所做的主要工作如下:首先,介紹了懸索橋的傳統(tǒng)拋物線理論、近似的分段懸鏈線(忽略主纜彈性伸長導(dǎo)致的自重集度yq改變)和精確的分段懸鏈線(考慮主纜彈性伸長導(dǎo)致的自重集度yq改變)。利用MATLAB對這三種理論分別編制了相應(yīng)的計(jì)算程序,并對寸灘長江大橋進(jìn)行了計(jì)算,由此對3種理論的計(jì)算結(jié)果進(jìn)行了比較和誤差分析。其次,介紹了鞍座位置計(jì)算方法,對鞍座位置計(jì)算的基本方程式重新進(jìn)行了嚴(yán)密地數(shù)學(xué)推導(dǎo),在采用該基本方程式進(jìn)行計(jì)算時可以將所有已知參數(shù)均直接代入正的數(shù)值進(jìn)行求解;運(yùn)用MATLAB編制了索鞍位置計(jì)算模塊,分別對寸灘長江大橋南北主索鞍進(jìn)行了解析計(jì)算,并與設(shè)計(jì)圖紙上所給參數(shù)進(jìn)行了對比,結(jié)果吻合良好;對兩種理論頂點(diǎn)定義下索鞍位置計(jì)算的結(jié)果也進(jìn)行了對比分析。再次,介紹了Midas Civil中懸索橋的有限元分析理論以及分析方法,探索了一種在Midas Civil中精確模擬懸索橋的方法,在有限元模型中對主索鞍和散索鞍均進(jìn)行了模擬,對寸灘長江大橋的成橋狀態(tài)和空纜狀態(tài)進(jìn)行了計(jì)算分析,且與設(shè)計(jì)值進(jìn)行了對比,計(jì)算值與設(shè)計(jì)值吻合良好;利用有限元模型分析了索鞍對主纜內(nèi)力與線形的影響;本文也將解析法與有限元方法進(jìn)行了對比,解析算法和有限元法所得到的結(jié)果吻合良好。最后,分析了跨度變化、索長變化和溫度變化對空纜線形的影響,并得到了3個適用于寸灘長江大橋空纜狀態(tài)的線形修正關(guān)系式;本文還利用了有限元法來探討溫度對空纜狀態(tài)下主纜線形的影響,并分別對中跨跨中標(biāo)高及兩主索鞍預(yù)偏量隨溫度改變的變化值進(jìn)行了二次曲線擬合;主纜跨中標(biāo)高隨著計(jì)算溫度的升高而降低,而索鞍的預(yù)偏量隨著計(jì)算溫度的升高而減小。
[Abstract]:Suspension bridge is a bridge with main cable as its main load-bearing structure. It is the preferred bridge type for long-span bridges because of its large span capacity beautiful shape and reasonable economy.In order to monitor the construction of Putan Yangtze River Bridge accurately, and in view of the strong geometric nonlinearity of the main cable of the suspension bridge, this paper focuses on the main cable of the suspension bridge.The calculation and analysis of the main cable of the suspension bridge based on the construction of the Putan Yangtze River Bridge are carried out, and the calculation theory of the main cable and the geometric nonlinear finite element theory are discussed, and some practical calculation and analysis methods are explored.The main work of this paper is as follows: firstly, the traditional parabola theory of suspension bridge is introduced.The approximate piecewise catenary (neglecting the change of the weight set yq caused by the elastic elongation of the main cable) and the precise piecewise catenary (considering the change of the self-weight yq caused by the elastic elongation of the main cable).The corresponding calculation programs for the three theories are compiled by using MATLAB, and the calculation of the Putan Yangtze River Bridge is carried out. The results of the three theories are compared and the errors are analyzed.Secondly, the calculation method of saddle position is introduced, and the basic equation of saddle position calculation is deduced again.When using this basic equation, all known parameters can be directly replaced in the positive value, and the calculation module of cable saddle position is compiled by MATLAB, and the analytic calculation of the north and south main cable saddles of Putan Yangtze River Bridge is carried out respectively.The results are in good agreement with the parameters given on the design drawings, and the calculation results of the saddle position under the definition of two theoretical vertices are also compared and analyzed.Thirdly, the theory and method of finite element analysis of suspension bridge in Midas Civil are introduced, and a method of simulating suspension bridge in Midas Civil is explored. In the finite element model, the saddle of main cable and the saddle of loose cable are simulated.In this paper, the bridge state and empty cable state of Putan Yangtze River Bridge are calculated and analyzed, and compared with the design value, the calculated value is in good agreement with the design value, and the influence of cable saddle on the internal force and line shape of main cable is analyzed by using finite element model.The analytical method and the finite element method are compared in this paper. The results obtained by the analytical method and the finite element method are in good agreement.Finally, the effects of span change, cable length change and temperature change on the cable shape are analyzed.The finite element method is also used to study the effect of temperature on the shape of the main cable under the condition of aerial cable, and the quadratic curve fitting is carried out for the variation of the mid-span elevation and the pre-deflection of the saddle of the two main cables with the change of temperature.The central elevation of the main cable decreases with the increase of the calculated temperature, while the predeflection of the saddle decreases with the increase of the calculated temperature.
【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】：U448.25

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本文編號：1703719