固定铰接体系斜拉桥纵向一阶振动周期简化计算研究

斜拉桥纵向一阶自振周期简化计算对方案比选和抗震验算均具有非常重要的意义.首先,根据斜拉桥纵向水平地震惯性力传递路径,建立了固定铰接体系斜拉桥的双质点模型,采用柔度法推导了固定铰接体系斜拉桥纵向一阶自振周期的简化计算公式.其次,基于固定铰接体系斜拉桥纵向一阶振型呈现纵向振动与竖向振动相互耦合的特点,利用能量守恒原理推导了固定铰接体系斜拉桥纵向一阶自振周期的简化计算公式.与10座已建斜拉桥的有限元计算结果进行对比验证,结果表明,本文提出的2个简化公式的计算精度良好,均可用于固定铰接体系斜拉桥纵向一阶自振周期的简化计算.相比之下,柔度法的计算精度更高,可靠性更好.

Study on Simplified Calculation of First-order Longitudinal Vibration Period for Fixed Hinge Cable-stayed Bridges

The simplified calculation of the first-order longitudinal vibration period for a cable-stayed bridge is very important for the comparison of design plans and the evaluation of seismic performance. Firstly, according to the longitudinal seismic inertia force transmission of cable-stayed bridges, the double-mass model derived by flexibility method was developed to simplify the calculation of the first-order longitudinal vibration. Based on significant coupling between the longitudinal modes and vertical modes, the simplified calculation of the first-order longitudinal vibration period was then investigated by energy principle in fixed hinge cable-stayed bridges. Finally, the two formulas were evaluated by the tests on ten built-up bridges. It is concluded that these two simplified formulas were in good agreement with those predicated by finite element method. The proposed double-mass model has higher accuracy and reliability.