粘弹性点支承粘弹性桩的动力稳定性分析

为了探讨粘弹性点支承对粘弹性桩动力稳定性的影响,利用梁振动理论给出了轴向周期性动压作用下粘弹性点支承的粘弹性桩振动微分方程,根据动力稳定性理论给出了粘弹性点支承粘弹性桩的临界频率方程和不稳定区域.计算结果表明:对Kelvin模型粘弹性桩来说,随着粘弹性支承的粘性阻尼系数和弹性系数以及粘弹性桩的粘性系数的增大,粘弹性桩的动力不稳定区有明显的缩小,反之亦然;粘性系数、粘性阻尼系数和弹性系数对桩的动力稳定性有显著影响.

Dynamic Stability Analysis of Visco-elastic Pile with Point Visco-elastic Supports

In order to investigate the effect of point visco-elastic supports on the dynamic stability of visco-elastic pile,the differential equation of the motion for visco-elastic pile with point visco-elastic supports under the action of axially periodic load was derived by vibration theory of beam.Based on the dynamic stability theory,the critical frequency equation of the pile was obtained,and the dynamic stability regions and instability regions were determined.Numerical results show that,with the increase of viscous damped coefficients of point visco-elastic supports,elastic coefficients and viscous coefficients of visco-elastic pile,the dynamic stability regions of visco-elastic pile decrease obviously,and vice versa.It is showed that effects of the viscous damped coefficients,the elastic coefficients and the viscous coefficients on the dynamic stability regions of the pile are very remarkable.