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求解两端简支曲线梁面内内力和位移的精细传递矩阵法
PRECISE TRANSFER MATRIX METHOD FOR SOLVING IN-PLANE INTERNAL FORCES AND DISPLACEMENTS OF CURVED BEAMS WITH PINNED-PINNED ENDS
【摘要】 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。
【Abstract】 Based on the theory of precise transfer matrix method and the principle of thermal expansion, a precise transfer matrix format for in-plane internal forces and displacements of curved beams with pinned-pinned ends are derived explicitly. And it is applied to a simply supported curved beam. Compared with the results of FEM, the veracity of analytical solutions by the precise transfer matrix method is verified. A real multi-span curved bridge subjected to concentrated loads and thermal load is analyzed using the precise transfer matrix method as well as FEM, and good agreements are observed.
【Key words】 curved bridge; precise transfer matrix method; internal force; displacement; thermal load;
- 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2010年10期
- 【分类号】U441
- 【被引频次】5
- 【下载频次】217