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通过引入两端固支、两端铰支等不同边界条件下,均布荷载作用下的挠度曲线作为系杆拱桥柔性吊杆在自由振动下的振型函数,运用瑞利能量法原理,推导出索力、抗弯刚度与吊杆固有频率间的关系式,并得出吊杆索力基于前2阶固有频率的测量公式。该公式将抗弯刚度作为隐式计算参数,回避了其难以识别的问题。以某系杆拱桥的监测实践为背景,通过与千斤顶张拉结果的对比分析,对吊杆的边界条件、计算长度进行识别,证明该公式更准确的考虑了抗弯刚度和边界条件的影响,可满足施工和运营期间吊杆张力的测试需要。
The deflection curve under the uniform load under different boundary conditions such as fixed ends, end hinges and so on, is taken as the mode function of flexible suspension boom of tied arch bridge under the condition of free vibration. The Rayleigh energy law is used to deduce Cable force, flexural rigidity and the natural frequency of the boom, and obtained the boom force based on the former two natural frequency measurement formula. The formula takes bending stiffness as an implicit calculation parameter, avoiding the problem that it is difficult to identify. Based on the monitoring practice of a tied arch bridge, the boundary conditions and the calculated length of the boom were identified through the comparison with the results of jacking, which proves that the formula more accurately considers the influence of bending stiffness and boundary conditions, To meet the construction and operation of the boom tension test needs.