字符计算在拉索及吊杆固有振动分析中的应用  

APPLICATION OF SYMBOLIC COMPUTATION IN NATURAL VIBRATION ANALYSIS OF CABLES AND SUSPENDERS

作　　者：刘志军[1] 芮筱亭[1] 杨海根[1] 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094

出　　处：《力学与实践》2012年第1期62-65,共4页Mechanics in Engineering

基　　金：江苏省自然科学基金攀登计划资助项目(BK2008046)

摘　　要：应用符号计算获得足够高的计算精度来实现固支拉索及吊杆固有振动频率方程的高精度求解和振型函数的数值计算.结合实例计算对比分析了不同边界条件对拉索及吊杆振型的影响.A sufficiently high computational accuracy is achieved by symbolic computation to obtain a high precision solution for the frequency equation and the numerical calculation for mode functions of cables and suspenders fixed at one or two ends. Based on practical examples, the influence of boundary conditions on vibration modes of cables and suspenders is comparatively analyzed.

关 键 词：拉索 吊杆 自由振动 字符计算 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]