基于图乘法的曲杆结构位移分析  

Analysis of Displacement of the Curved Bar Structure Based on Diagram Multiplication

作　　者：苏德利[1] 张力[1] 范振禄[1] 

机构地区：[1]大连海洋大学建筑工程系,辽宁大连116300

出　　处：《沈阳建筑大学学报（自然科学版）》2013年第3期496-500,共5页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金项目(50808137)

摘　　要：目的研究曲杆结构位移计算方法,验证图乘法在曲杆结构中计算位移的有效性和适用性.方法以工程三铰拱为例,将三铰拱等分若干段,每段近似为直杆,其内力曲线图亦近似视为直线图,进行分段图乘求和计算,并将计算结果与积分法和模型试验结果进行比较验证.结果用分段图乘法计算位移值与积分法分析结果比对误差为3.9%;与模型试验值比误差为3.5%.结论积分法求曲杆结构位移较精确,但计算繁琐,特别是数学建模复杂、困难,相对分段图乘法求解曲杆位移方法简便,计算结果能够满足工程要求,可以推广应用.This paper aims to study on calculation method of displacement of curved bar structure, and verify the validity and applicability of diagram multiplication in the curved bar structure displacement calculation. The diagram multiplication is to solve the displacement calculation method of building structure. However;it is generally believed that the curved bar structure cannot be directly applied to diagram multiplication dis- placement analysis due to the conditions of application. Taking three - hinge arch of engineering as an exam- ple, three hinged arch is divided into several segments, each segment is approximately a straight bar. It can be calculated by each segment, comparing and verifying the results through the integral method and the model test results, the error between diagram multiplication calculation value of displacement and integral analysis results alignment is 3.9% ,the error compared with model test value is 3.5%. The conclusion is that the in- tegral method of displacement bar structure is accurate, but the calculation process is complicated, especially the mathematical modeling process is complex and difficult. However;the method of diagram multiplication calculation for curved bar displacement is convenient and simple, the results can meet the engineering re- quirements and it can be applied widely.

关 键 词：曲杆位移 图乘法 虚功原理 积分法 

分 类 号：TU375[建筑科学—结构工程]