墩顶弹性约束下双柱式桥墩复合自振基频近似算法

在Rayleigh能量法和Southwell频率合成法的基础上导出墩顶弹性约束下双柱式桥墩结构复合振动基频计算公式,将基频表示成各惯性元和变形元所组成的系统频率合成,利用有限元模型验证该公式的正确性,并分析不同类型的弹簧约束刚度对桥墩自振频率的影响,对桥墩结构状态的评定具有一定的参考作用。

Approximate Method of Compound Fundamental Frequencies of Tapered Bridge Piers

Approximate formula to calculate fundamental frequency of the double-column pier structures were obtained by the combination of Rayleigh and Southwell＇s method.The fundamental frequency of the pier structures was composed of the sum of frequency of each subsystem consisted in inertia component and deformable component.Then finite element analysis was used to establish models to verify the approach.The influence of fundamental frequency of different constraint rigidity was also discussed.The formula was suitable to the pier structures.