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该文应用精细传递矩阵法和曲线结构热胀变形规律,建立了在集中荷载和变温作用下两端简支曲线两面内内力及位移解的精细传递矩阵式。运用该文方法对一简支曲梁进行了计算,计算结果与曲线梁有限元结果吻合较好,从而验证了该文解答的正确性。将该文方法扩展运用与多跨曲线桥的求解,得出在变温和桥墩顶部摩擦力共同作用下多跨曲线梁的面内内力及位移的精细传递矩阵格式。建立实际曲线桥的有限元简化模型,通过结构有限元分析与精细传递矩阵法的计算结果比较,说明了该文理论具有很好的工程应用性,可作为曲线桥结构研究和设计的理论依据。
In this paper, the fine transfer matrix method and the thermal deformation law of curve structure are used to establish the fine transfer matrix of the internal forces and displacement solutions on both surfaces of simply supported curves with concentrated load and variable temperature. By using this method, a simply supported curved beam is calculated. The calculated result is in good agreement with the finite element result of the curved beam, which verifies the correctness of the solution. By using this method and the multi-span curved bridge, the fine transfer matrix format of the in-plane forces and displacements of the multi-span curved beam under the joint action of variable temperature and the top of the piers is obtained. The simplified finite element model of the actual curve bridge is established. The comparison between the finite element analysis of the structure and the calculation of the fine transfer matrix shows that the theory has good engineering applicability and can be used as the theoretical basis for the research and design of the curved bridge structure.