固端梁横向自振频率的简化计算方法  

A Simplified Method for Calculating the Transverse Natural Frequency of a Fixed End Beam

作　　者：周小苏[1] 

机构地区：[1]中铁第一勘察设计院集团有限公司,西安710043

出　　处：《交通科技》2017年第6期72-74,共3页Transportation Science & Technology

摘　　要：跨座式轨道交通轨道梁的横向自振频率是此类交通形式安全性及舒适性的关键性指标。为准确、便捷地计算轨道梁自振频率,将轨道梁简化为固端梁,以瑞利法基本原理,采用单位均布力下的挠曲线和正弦曲线2种振型曲线推导得到固端梁一阶自振频率计算公式,通过有限元程序对工程实例对比验证。结果证明此简化公式精度满足工程需要且方便应用。The transverse natural frequency of the track beam of the cross-seat rail transit is a key indicator of the safety and comfort of such traffic.In order to calculate the frequency of the track beam accurately and conveniently,the track beam is simplified as the solid end beam.Based on the basic principle of the Rayleigh method,the first and second order curves are obtained by using the deflection curve and the sine curve under the unit uniform force.The vibration frequency calculation formulais derived through the comparison verification of finite element program and the engineering examples.The results show that the accuracy of this formula can meet the engineering needs and facilitate the engineering application.

关 键 词：固端梁 瑞利法 振型曲线 自震频率 结构设计 

分 类 号：U448.212[建筑科学—桥梁与隧道工程]