摘要
采用受拉杆件平衡控制方程的解析表达式作为形函数,构造了一种可以考虑初始内力的拉索单元。基于能量变分原理,采用该新单元导出了具有多个弹性支承拉索系统的有限元振动频率方程,确定了拉索的索力与频率的对应关系。并采用M ATLAB软件编制了索力计算的有限元程序,该程序适用于中间具有多点弹性支撑的拉索系统索力的精确计算。验证性试验和现场测试结果表明,按本文方法索力计算结果与实测结果吻合良好,精度高,能够满足实际工程需要。
Analytical expression of equilibrium control equation for a tension bar is used as the shape function to develop a new cable finite element.Based on the energy variation principle,the natural vibration equation of tension cable system with multiple elastic supports is derived.Then a program for estimating the tension in cables where the cable bending stiffness,end restraints and stiffness of intermediate supports are taken into account is proposed using the MATLAB computer language.Laboratory experiment and field test are presented.Through comparing the calculated results with the measured ones,the method proposed in this paper is demonstrated to be feasible and accurate.
出处
《振动工程学报》
EI
CSCD
北大核心
2010年第5期567-571,共5页
Journal of Vibration Engineering
基金
国家自然科学基金项目资助(50978105)
华南理工大学亚热带建筑科学国家重点实验室开放课题基金项目资助(200807)
关键词
有限元法
频率法
弹性支承
索力
频率方程
finite element method
frequency method
elastic support
cable force
frequency equation
