横观各向同性饱和地基中埋置刚性圆柱基础的扭转振动

Torsional vibrations of a rigid cylindrical foundation partially embedded in transversely isotropic saturated soil

考虑埋置基础侧面和底面地基与基础的相互作用,研究了埋置于横观各向同性饱和地基中刚性圆柱基础的扭转振动问题。假设基础侧壁与地基完全黏结,沿侧面对剪应力积分得到了侧壁地基对基础所产生的反扭矩;通过研究位于横观各向同性饱和地基上刚性圆形基础的扭转振动,求得基础底面地基作用于基础的反扭矩。结合基础底面位移和应力连续等条件,根据基础振动的动力平衡方程,求解了相应的动力响应问题。给出了基础的角位移幅值,地基的等效刚度系数和等效阻尼系数的表达式。通过算例研究了相关参数对基础扭转振动的影响。

Considering the interactions between the embedded foundation and the soil, the torsional vibrations of a rigid cylindrical foundation partially embedded in transversely isotropic saturated soil are analysed. Assuming both the side face and bottom surface of the foundation are perfectly bonded to the soil, the reaction torques that the side soil and bottom soil acted on the foundation are gotten from basic dynamic equations of the poroelastic medium. According to the dynamic equilibrium equations of a foundation subjected to harmonic torque, the torsional vibrations of an embedded cylindrical foundation are presented. Subsequently, the angular amplitude of the foundation, the equivalent stiffness and damping coefficients of the soil are expressed explicitly. Selected examples are presented to investigate the influence of relevant parameters on the results.