考虑转动惯量和剪切变形耦合的铰接吊杆索力实用计算公式  

Practical Formula for Cable Force of Hinged Suspender Considering the Coupling Effect of Moment of Inertia and Shear Deformation

作　　者：张戎令[1] 王起才[1] 马丽娜[1] 代金鹏[1] 

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070

出　　处：《中国铁道科学》2014年第5期30-37,共8页China Railway Science

基　　金：长江学者和创新团队发展计划项目(IRT1139);铁道部科技研究开发计划项目(2012G011-A);兰州交通大学青年科技基金资助项目(2012026;2012028)

摘　　要：基于结构振动理论,在考虑抗弯刚度的既有铰接吊杆索力计算公式的基础上,建立考虑转动惯量和剪切变形耦合影响的铰接吊杆索力实用计算公式.在均不考虑上述因素时,该公式即为经典弦振动公式;不考虑转动惯量和剪切变形耦合影响时,其为目前较为常用的只考虑抗弯刚度的弦振动理论公式.室内试验应用该公式计算的3根不同长度索的索力值与实测结果的误差为0.60％～4.57％,验证该公式是合理的.应用该公式对兰新铁路第二双线一座跨度为128m的系杆拱桥进行吊杆索力分析.结果表明：计算值与实测值误差为1.07％～3.92％,说明该公式计算精度较高.建议在实际索力控制中,考虑吊杆的抗弯刚度、转动惯量和剪切变形耦合作用对吊桥索力的影响.Based on structural vibration theory and the current formula for cable force of hinged suspender considering flexural rigidity, a practical formula for cable force of hinged suspender was established taking into account the coupling effect of the moment of inertia and shear deformation. The formula without considering the aforementioned factors is the classical string vibration formula. The formula without considering the coupling effect of the moment of inertia and shear deformation is the commonly used the theoretical formula of string vibration which only takes flexural rigidity into account. The cable force was calculated by the formula in laboratory test for three cables with different length, and the errors between the calculated values and the measured values were 0. 60%-4. 57%, which validated the rationality of the proposed formula. The formula was applied to analyze the cable force of the suspenders of a tied arch bridge with 128 m span of the second double-track of Lan-Xin Railway. Results show that the errors between the calculated values and the measured values are 1.07%-3. 92%, which indicates that the proposed formula is of higher calculation accuracy. It is suggested that the coupling effect of flexural rigidity, the moment of inertia and shear deformation of suspenders on cable force should be taken into account in the control of actual cable force.

关 键 词：系杆拱桥 铰接 转动惯量 剪切变形 耦合影响 索力 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]