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곡선 PSC 사장교의 극한해석을 위한 개선된 하중제어법

An Improved Load Control Strategy for the Ultimate Analysis of Curved Prestressed Concrete Cable-Stayed Bridge

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초록

이 논문에서는 복잡한 기하학적 형상과 비선형 특성들을 보이는 곡선 프리스트레스트 콘크리트(PSC) 사장교의 극한거동을 안정적으로 예측하기 위한 비선형 해법을 제시하였다. PSC 교량 구조물의 비선형 거동 및 극한거동을 예측하기 위한 해법으로서 하중제어법(load control strategy)과 변위제어법(displacement control strategy)을 적용하였다. 콘크리트의 과다한 균열과 재료상태 및 케이블 장력의 급격한 변화로 인해 불평형력(unbalanced load)이 크게 변화하여 이들 두 해법으로 해를 구할 수 없는 경우에 대한 대안으로서 불평형력을 적정한 비율로 감소시키면서 하중제어법을 적용하여 해를 안정적으로 구해 나가는 불평형력 감쇠(scale-down of the unbalanced load)를 적용한 하중제어법을 제시하였다. PSC 거더교의 극한해석을 수행하여 불평형력 감쇠를 적용한 하중제어법의 정당성을 평가하였다. 또한 곡선 PSC 사장교의 극한해석에 이 논문에서 제시한 비선형 해법을 적용하여 복잡한 비선형성으로 인해 해가 수렴하기 어려운 해석에도 이 해법이 유용함을 확인하였다.

Abstract

A study for the nonlinear solution strategies to predict the ultimate behavior of a curved PSC cable-stayed bridge with complex geometry and highly nonlinear characteristics is presented. The load and displacement control strategies are used and found to be stable for the nonlinear solution of the PSC bridge up to the moderately excessive load. The ultimate analysis of curved PSC cable-stayed bridge using these solution strategies is not converged due to the propagation of the cracks in the wide range of the concrete elements and excessive variation of the stresses in the concrete elements and cables according to the complex geometry. The load control strategy using scale-down of the unbalanced loads is proposed as an alternative method for the case that the solution is not converged due to the severe nonlinearities involved in the PSC structures like a curved PSC cable-stayed bridge. Through the ultimate analysis of the PSC girder, the accuracy and the stability of the proposed solution strategies are evaluated. Finally, the numerical results for the ultimate analysis of the curved PSC cable-stayed bridge using scale-down of the unbalanced loads are compared with those obtained from other investigator. The validity of the proposed nonlinear solution strategy is demonstrated fairly well.

참고문헌 (14)

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