索力振动测量的有限差分传递矩阵法  

Finite Difference-Transfer Matrix Method for Vibration Measurement of Cable Tension

作　　者：刘志军[1] 芮筱亭[1] 钟继卫[2] 李敏娇[1] 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094 [2]中铁大桥局集团桥科院有限公司,武汉430034

出　　处：《振动．测试与诊断》2012年第3期384-386,512,共3页Journal of Vibration,Measurement & Diagnosis

基　　金：江苏省自然科学基金攀登计划资助项目(编号:BK2008046);国家自然科学基金资助项目(编号:10902051)

摘　　要：为提高振动法测量拉索张力的精度,准确描述索力与自振频率的关系,拓展索力测量振动法的适用范围,针对变刚度拉索的横向自由振动及张力测量问题,利用有限差分法及传递矩阵法并将二者相结合推导了拉索有限差分形式的振动方程。在此基础上得到离散系统的元件传递矩阵方程及总传递方程,应用传递矩阵法计算拉索固有频率,通过求解特征方程建立了索力与振动频率的关系。通过对实际工程的测试结果分析表明,该方法具有准确、实用和易编程的特点,能满足工程应用要求。In order to improve measurement accuracy of cable tension,define accurately the relation between cable tension and natural vibration frequencies and widen the scope of application of vibration method,by the way of combining the finite difference method with transfer matrix method,the frequency equation is derived from the governing equation with variable coefficients for the free vibration of cable.Transfer matrix method of multibody system is used to compute natural vibration frequencies of cable based on the discrete model.The relation between cable tension and natural vibration frequencies is described by solving characteristic equation.Comparing with the past references,the proposed method has high computational efficiency because of low order of system matrix and can effectively satisfy the requirements for measurement accuracy of cable tension.

关 键 词：索力 有限差分法 传递矩阵法 固有频率 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]