两端简支曲线梁面内位移精确解  

EXACT SOLUTIONS FOR IN-PLANE DISPLACEMENTS OF CURVED BEAMS WITH PINNED-PINNED ENDS

作　　者：李晓飞[1] 赵颖华[1] 

机构地区：[1]大连海事大学交通工程与物流学院,大连116026

出　　处：《工程力学》2008年第8期145-149,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(50578021)

摘　　要：应用虚功原理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梁面内位移解析表达式。当曲率半径趋近于无穷大时,得到相应的直梁解,并与曲线梁有限元结果吻合较好,从而证明了该文解答的正确性。将单跨梁解答应用于多跨曲线桥的求解中,得出在变温和桥墩顶部摩擦力共同作用下多跨曲线桥面内位移解析解。建立实际曲线桥有限元仿真模型,通过仿真分析结果与解析解比较,说明了该文理论具有较好的工程应用性,可作为曲线桥结构研究和设计的理论依据。Based on the theory of virtual work and the principle of thermal expansion, exact solutions for in-plane displacements of curved beams with pinned-pinned ends are derived explicitly. In the case of infinite radius, these equations coincide with that of the straight beams. Compared with the results of FEM, the analytical solutions by the proposed formulae are verified. A real multi-span curved bridge subjected to concentrated loads and thermal load is analyzed using the newly derived equations as well as FEM. The agreements further confirm the practicability of the proposed solution, which would provide a scientific base for further study and design of the curved bridges.

关 键 词：曲线桥 位移 解析解 集中荷载 变温作用 

分 类 号：U448.42[建筑科学—桥梁与隧道工程] O312[交通运输工程—道路与铁道工程]