考虑垂度效应的索力振动测量的传递矩阵法  

Transfer matrix method for vibration measurement of cable tension considering sag

作　　者：刘志军[1] 芮筱亭[1] 王国平[1] 于海龙[1] 

机构地区：[1]南京理工大学发射动力学研究所,江苏南京210094

出　　处：《南京理工大学学报》2013年第4期608-612,共5页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(10902051);江苏省自然科学基金(BK2008046)

摘　　要：为提高索力测量的精度,该文提出一种基于多体系统传递矩阵法的索力振动测量方法。该方法考虑斜拉索垂度、倾角、自重及切向张力沿拉索的变化,在静力分析推导出斜拉索静态构形的抛物线方程基础上建立拉索振动的离散模型,应用多体系统传递矩阵法来计算拉索固有频率,得到准确描述索力与拉索振动频率关系的特征方程。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,能够满足工程应用要求。In order to improve the measurement accuracy of cable tension,this paper proposes a vibration method for cable tension measurement based on the transfer matrix method of multibody system.The cable-vibration discrete model was established on the base of the parabolic equation for static profile of stay cable developed by static analysis with the consideration of cable sag,inclination angle,self-weight and variation of cable tension along the cable.The transfer matrix method of multibody system is used to compute natural vibration frequencies of cable based on the discrete model.The characteristic equation accurately describing the relation between cable tension and natural vibration frequencies is obtained.The field measurement results are analyzed,showing that 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：传递矩阵法 斜拉索 索力 垂度 固有频率 

分 类 号：U443.38[建筑科学—桥梁与隧道工程] U441.3[交通运输工程—道路与铁道工程]