水平弹性支承张弦拱结构的理论分析方法  

THEORETICAL ANALYSIS METHOD FOR ARCH STRING STRUCTURE WITH ELASTIC SUPPORT IN THE HORIZONTAL DIRECTION

作　　者：余佳亮[1,2] 罗尧治[1] 

机构地区：[1]浙江大学浙江省空间结构重点实验室,浙江杭州310058 [2]浙江大学建筑设计研究院,浙江杭州310027

出　　处：《工程力学》2013年第7期193-199,共7页Engineering Mechanics

基　　金：国家杰出青年科学基金项目(51025828);国家自然科学基金项目(50978227)

摘　　要：利用卡式第二定理推导得到水平弹性支承条件下张弦拱结构的力法方程,通过符号求解得出张弦拱结构在均布荷载及预拉力作用下结构内力的计算表达式。这些表达式直观地反映了张弦拱结构受力特性与矢高、垂距、构件刚度、支承刚度等参数的相互关系,同时也表明结构各参数并非相互独立,而是以彼此之间的比例关系来影响结构的受力性能。利用该文的理论方法对某实际张弦拱结构进行受力分析,并将结果与有限元分析结果进行对比,验证了理论解的准确性。Force method equations adapt for an arch string structure with elastic support boundary are obtained by Castigliano theorem. Computing expressions for the internal force under a symmetrical distributed load and the pre- stressing force of the arch string structure are achieved through a symbol solution. These expressions reflect the relationship between the mechanical behavior of the arch string structure and structural parameters, such as vector high, cable-vertical distance, member stiffness and support stiffness. The expressions indicate that various structural parameters are not isolated, but they influence the structural mechanical properties by the ratio of each other. A practical arch string structure is analyzed by the theoretical method and finite element method, the accuracy of the theoretical method proposed is proved.

关 键 词：张弦拱 弹性边界 力学性能 力法方程 理论分析 

分 类 号：TU311.1[建筑科学—结构工程]