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针对变截面群桩基础高墩的几何特性,将桥墩与群桩基础简化为空间整体,在考虑桥墩变截面特性及桩土相互作用的基础上,提出群桩基础变截面桥墩分析模型;将分析模型分解成群桩基础的刚体变形与桥墩的弹性变形两个部分,分别基于能量法与有限单元法求解相应的自振频率,并采用Southwell频率合成法,将整体计算模型表示成两个部分的合成,从而导出变截面桥墩的自振频率,通过算例证明该方法的实用性,并分析了桥墩参数对自振频率的影响,获及了一些定性的结论。结果表明,变截面高墩自振频率的计算分析中,桩-土相互作用的影响不容忽视,考虑桩土相互作用和桥墩本身的非线性更符合工程实际。
Aiming at the geometric characteristics of high pier with variable section group pile foundation, the bridge pier and group pile foundation are simplified as the whole space. On the basis of considering the characteristics of the pier’s cross section and the pile-soil interaction, The model is decomposed into two parts: rigid body deformation of group pile foundation and elastic deformation of bridge piers. The corresponding natural frequencies are solved based on energy method and finite element method respectively. The model is expressed in two parts by Southwell frequency synthesis method The natural frequency of the pier with variable section is deduced. The practicality of the method is proved by an example, and the influence of pier parameters on the natural frequency is analyzed. Some qualitative conclusions are obtained. The results show that the influence of pile-soil interaction can not be neglected in the calculation and analysis of the natural frequency of high-pier with variable section. It is more in line with engineering practice considering the pile-soil interaction and the nonlinearity of pier itself.