【摘要】：在預(yù)應(yīng)力混凝土連續(xù)剛構(gòu)橋的施工過程中,結(jié)構(gòu)尺寸、材料性能和荷載存在隨機(jī)性,使主梁的撓度和應(yīng)力難以與設(shè)計(jì)的理想狀態(tài)吻合。因此,本文將隨機(jī)響應(yīng)面應(yīng)用于可靠度和靈敏度分析中,對(duì)橋梁的施工控制進(jìn)行研究。首先,提出了針對(duì)橋梁施工控制的隨機(jī)響應(yīng)面法,并解決了非標(biāo)準(zhǔn)正態(tài)施工參數(shù)的輸入問題。通過一個(gè)懸臂梁的數(shù)值算例,對(duì)比三種配點(diǎn)方法的優(yōu)缺點(diǎn)。分析表明:相比于拉丁超立方抽樣法(Latin Hypercube Sampling,LHS)和蒙特卡洛抽樣法(Monte Carlo Sampling,MCS),基于線性無(wú)關(guān)原則的概率配點(diǎn)法效率最高,并可改變階次和增加配點(diǎn)數(shù)量,從而提高隨機(jī)響應(yīng)面的精度。其次,結(jié)合隨機(jī)響應(yīng)面與基于廣義λ分布(General Lambda Distribution,GLD)的高階矩法,擬合狀態(tài)變量的概率密度函數(shù),從而建立了基于隨機(jī)響應(yīng)面的主梁撓度控制可靠度分析法。此外,以多重隨機(jī)響應(yīng)面為工具求解施工全過程的失效概率,可以避免復(fù)雜的積分,提高計(jì)算效率。再次,將隨機(jī)響應(yīng)面與靈敏度分析結(jié)合,分別發(fā)展了準(zhǔn)全局靈敏度分析法和方差靈敏度分析法。分析表明:兩種方法的計(jì)算精度均取決于隨機(jī)響應(yīng)面,并且可以得到相同的參數(shù)靈敏度排序。方差靈敏度分析法可以考慮施工參數(shù)之間的交叉作用;而準(zhǔn)全局靈敏度分析法計(jì)算量少,且簡(jiǎn)單實(shí)用。最后,以李家洼大橋?yàn)楣こ瘫尘?在確定主要施工參數(shù)概率分布的基礎(chǔ)上,利用基于隨機(jī)響應(yīng)面的可靠度與靈敏度方法進(jìn)行分析。研究表明:主梁撓度控制的失效概率隨著懸臂的伸長(zhǎng)而升高,并在合龍后迅速降低。施工參數(shù)靈敏度在施工期內(nèi)也發(fā)生顯著變化,其中預(yù)應(yīng)力束張拉控制應(yīng)力對(duì)主梁撓度和應(yīng)力的靈敏度隨著懸臂的伸長(zhǎng)而降低,恒載的靈敏度反而升高。此外,混凝土抗壓強(qiáng)度與彈性模量只對(duì)撓度產(chǎn)生較小影響。
[Abstract]:In the construction process of prestressed concrete continuous rigid frame bridge, the structural size, material performance and load are random, which makes the deflection and stress of the main beam difficult to fit with the ideal state of the design. Therefore, the random response surface is applied to the reliability and sensitivity analysis, and the construction control of the bridge is studied in this paper. Firstly, a random response surface method for bridge construction control is proposed, and the input problem of non-standard normal construction parameters is solved. A numerical example of cantilever beam is given to compare the advantages and disadvantages of the three methods. The analysis shows that compared with Latin hypercube sampling (Latin Hypercube Sampling,LHS) and Monte Carlo sampling (Monte Carlo Sampling,MCS), the probabilistic collocation method based on linear independent principle has the highest efficiency, and can change the order and increase the number of collocation points. Thus, the precision of random response surface is improved. Secondly, the probability density function of the state variable is fitted by combining the stochastic response surface with the higher order moment method based on the generalized 位 distribution (General Lambda Distribution,GLD, and the reliability analysis method for deflection control of the main beam based on the stochastic response surface is established. In addition, using multi-random response surface as a tool to solve the failure probability of the whole construction process, the complex integration can be avoided and the calculation efficiency can be improved. Thirdly, the quasi-global sensitivity analysis method and variance sensitivity analysis method are developed by combining random response surface with sensitivity analysis. The analysis shows that the calculation accuracy of the two methods depends on the random response surface, and the same order of parameter sensitivity can be obtained. The variance sensitivity analysis method can take into account the cross-action between construction parameters, and the quasi-global sensitivity analysis method is simple and practical because of its less computation. Finally, on the basis of determining the probability distribution of the main construction parameters, the reliability and sensitivity method based on random response surface is used to analyze the Lijiawa Bridge. The results show that the failure probability of deflection control increases with the cantilever elongation and decreases rapidly after closure. The sensitivity of construction parameters also changes significantly during the construction period, in which the sensitivity of prestressed beam tension control stress to the deflection and stress of the main beam decreases with the cantilever elongation, while the sensitivity of dead load increases. In addition, the compressive strength and elastic modulus of concrete have little effect on deflection.
【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：U445.4

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