论文部分内容阅读
从非线性振动力学的角度出发,基于重正化方法研究非均匀地层中带承台单桩耦合体系的纵向自由振动问题。采用弹簧耦合单元块体的形式对单桩及桩侧土体进行离散,并用广义Voigt串联体描述黏弹性土层的摩阻效应,建立多段多自由度非线性承台–单桩–土纵向振动模型。通过重正化坐标转换原则给出振动模型的纵向振动频率解,并引入质量参振分配系数对不同情况下的振动频率方程进行表征,进而通过算例验证重正化解法的正确性和准确性。最后考察桩身质量、材料刚度、承台质量及桩侧摩阻力对耦合体系自由振动频率的影响规律,研究成果可为带承台桩基础动力设计提供参考。
From the point of view of nonlinear vibration mechanics, the longitudinal free vibration problem of coupling system with single pile in a non-uniform formation is studied based on renormalization method. The spring-coupling unit block is used to discretize the soil mass on the single pile and the pile. The generalized Voigt concatenation is used to describe the frictional effect of the viscoelastic soil, and the multi-degree, multi-degree-of-freedom nonlinear cap- model. The vibration frequency of the vibration model is given by the principle of renormalization and the vibrational frequency of the vibration model is introduced. The vibrational frequency equation under different conditions is introduced by introducing the quality parameter of vibration distribution. Then, the correctness and accuracy of the method are verified by an example. . Finally, the influences of the pile mass, the material stiffness, the quality of the platform and the pile-side frictional resistance on the free vibration frequency of the coupling system are investigated. The research results can provide reference for the dynamic design of the pile-cap pile foundation.