基于超细长弹性杆模型的斜拉索静力构形分析  

Static Configuration Analysis of Stay Cables Based on Super-Thin Elastic Rod Model

作　　者：陆登科 王鹏[1] 王小月 徐嘉伟 刘振海 Lu Dengke;Wang Peng;Wang Xiaoyue;Xu Jiawei;Liu Zhenhai(School of Civil Engineering and Architecture,University of Jinan,Jinan250000,China)

机构地区：[1]济南大学土木建筑学院,济南250000

出　　处：《动力学与控制学报》2023年第7期68-76,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(12272148,1172141)。

摘　　要：以超细长弹性杆模型研究了斜拉索自重和可拉伸情形下的静态位形.建立了斜拉索一般意义下的超细长弹性杆平衡方程,分三种情况讨论了其平衡位形对应的挠性线、索力及索长.(1)忽略抗弯刚度时,其退化为仅考虑弹性拉伸时斜拉索的平衡方程,此时求得其挠性线方程与已有结论一致;(2)忽略弹性拉伸时,其退化为仅考虑抗弯刚度时斜拉索的平衡方程,求得其挠性线方程比忽略抗弯刚度时的结论多一项一阶修正项;(3)同时考虑弹性拉伸和抗弯刚度情形时,求得其近似挠性线方程.以苏通大桥和某实验室斜拉索为例,分别计算了以上三种不同情形下的斜拉索的静力参数,并分析了在不同索长和索力情况下抗弯刚度和弹性拉伸对斜拉索几何构形的影响.The static configuration of stay cable considering self-weight and stretch ability was studied by using the super-thin elastic rod model.The equilibrium equation of super-thin elastic rod in the general sense of stay cable was established.The deflection curve of cable,cable force and cable length corresponding to the equilibrium configuration were discussed in the following three cases.(1)When the bending rigidity was ignored,it degenerated into the equilibrium equation of the stay cable when only considering the elastic tension.At this time,the deflection curve equation was consistent with the existing conclusions.(2)When elastic tension was ignored,it degenerated into the equilibrium equation of the cable only considering the bending rigidity.The deflection curve equation added a first-order correction term compared to the case when ignoring the bending rigidity.(3)When both elastic tension and bending rigidity were considered,the approximate deflection curve equation was obtained.Taking Sutong Bridge and a laboratory cable as examples,the static parameters of the stay cables under the above three different conditions were calculated respectively,and the influence of bending rigidity and elastic tension on the geometric configuration of the stay cables under different cable lengths and cable forces were analyzed.

关 键 词：超细长弹性杆 Kirchhoff动力学比拟 挠性线 斜拉索 

分 类 号：O324[理学—一般力学与力学基础] O322[理学—力学]