【摘要】：在預應力混凝土連續(xù)剛構橋的施工過程中,結構尺寸、材料性能和荷載存在隨機性,使主梁的撓度和應力難以與設計的理想狀態(tài)吻合。因此,本文將隨機響應面應用于可靠度和靈敏度分析中,對橋梁的施工控制進行研究。首先,提出了針對橋梁施工控制的隨機響應面法,并解決了非標準正態(tài)施工參數的輸入問題。通過一個懸臂梁的數值算例,對比三種配點方法的優(yōu)缺點。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),基于線性無關原則的概率配點法效率最高,并可改變階次和增加配點數量,從而提高隨機響應面的精度。其次,結合隨機響應面與基于廣義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,從而建立了基于隨機響應面的主梁撓度控制可靠度分析法。此外,以多重隨機響應面為工具求解施工全過程的失效概率,可以避免復雜的積分,提高計算效率。再次,將隨機響應面與靈敏度分析結合,分別發(fā)展了準全局靈敏度分析法和方差靈敏度分析法。分析表明:兩種方法的計算精度均取決于隨機響應面,并且可以得到相同的參數靈敏度排序。方差靈敏度分析法可以考慮施工參數之間的交叉作用;而準全局靈敏度分析法計算量少,且簡單實用。最后,以李家洼大橋為工程背景,在確定主要施工參數概率分布的基礎上,利用基于隨機響應面的可靠度與靈敏度方法進行分析。研究表明:主梁撓度控制的失效概率隨著懸臂的伸長而升高,并在合龍后迅速降低。施工參數靈敏度在施工期內也發(fā)生顯著變化,其中預應力束張拉控制應力對主梁撓度和應力的靈敏度隨著懸臂的伸長而降低,恒載的靈敏度反而升高。此外,混凝土抗壓強度與彈性模量只對撓度產生較小影響。
[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.
【學位授予單位】：北京交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：U445.4

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