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桥墩的自振特性是大跨连续刚构桥结构设计的重要参数,而桥墩的横向振动基频对边界弹性约束条件是敏感的.通过平动约束、转动约束和平转动耦合约束来模拟基础对墩底的约束作用,成桥状态下采用平动约束和转动约束弹簧来模拟墩顶的边界约束,利用Rayleigh和Southwell频率合成法推导出桥墩复合振动基频的计算公式.最后将有限元模型分析解和文中公式计算值进行对比,结果表明两者相对误差最大为7.50%,验证了频率合成法和基频计算公式的正确性,对同类型结构的状态评定和动力特性分析具有重要参考作用.
The natural vibration characteristics of bridge piers are important parameters in the design of long-span continuous rigid frame bridge, while the transverse vibration fundamental frequency of bridge piers is sensitive to the boundary elastic constraints. By using the translational constraints, rotational constraints and translational rotation constraints, At the end of the bridge, the boundary constraints of pier top are simulated by using translational constraint and rotation restraining springs, and the formula of composite fundamental frequency of pier vibration is deduced by Rayleigh and Southwell frequency synthesis method.Finally, the finite element model analytic solution The results show that the maximum relative error between the two is 7.50%. The correctness of the frequency synthesis method and the fundamental frequency calculation formula are validated, which is of important reference for the state assessment and dynamic characteristics analysis of the same type of structures.