固端刚性拉索索力分析能量法

宋一凡　 贺拴海　 吴小平　

摘　要：引用压杆屈曲函数构造两固端刚性拉索的一阶和二阶振型函数，由RITZ法原理求得其相应的一阶和二阶固有振动频率。算例表明，RITZ法给出的显式解具有较好的精度，可方便地用于振动法测估刚性拉索的索力。
关键词：刚性拉索；振型；固有频率；RITZ法
分类号：U443.38　文献标识码：A
文章编号：1007-4112(2001)01-0055-03

Energy Method of the Tension for Fixed-end Rigid Cables

SONG Yi-fan（College of Highway Engineering, Chang′an University, Xi′an 710064 , China）　
HE Shuan-hai（College of Highway Engineering, Chang′an University, Xi′an 710064 , China）　
WU Xiao-ping（College of Highway Engineering, Chang′an University, Xi′an 710064 , China）　

Abstract：The buckling function of compressed bars was utilized to conceive a function that can describe the first and the second oscillation mode of fixed-end rigid cables.By means of the RITZ method,the free frequencies of the firs t and the second mode of the cables were given.The example shows that the RITZ solution is accurate enough and it can be used conveniently to measure and estimate the tension of rigid cables with vibration method.
Keywords：rigid cable;oscillation mode;free frequency;RITZ method

参考文献：

［1］林元培.斜拉桥［M］.北京：人民交通出版社，1997.164—166.
［2］俞载道.结构动力学基础［M］.上海：同济大学出版社，1987.278—282.
［3］HIROSHI Zui, TOHRU Shinke,YOSHIO Namita. Practical formulas for estimation of cable tension by vibration method［J］.Journal of Structure Engineering,1996,122(6):651—656.

收稿日期：1999年10月12日

出版日期：2001年1月1日