首先对滑动干摩擦模型的研究现状进行了系统的论述。推导了基于Coulomb摩擦模型时刚体在简谐地面运动时滑动位移的解析方程；讨论了滑动状态与粘结状态过渡时刻的求解精度对刚体与地面相对位移的影响；对基于摩擦力－位移模型和基于Coulomb摩擦模型下刚体在简谐地面运动作用下滑动位移的差异进行了对比。然后采用Newmark线性加速度法推导了基于Coulomb摩擦模型刚体在任一地震加速度作用下滑动位移的数值求解方法；对比了基于摩擦力－位移模型和基于Coulomb摩擦模型下刚体在任一地面运动作用下滑动位移的差异。

Firstly,review of dry friction model is sumarrized.Based on Coulomb friction model,Sliding displacement of rigid blocks under harmonic base excitation is deducted. it is analyzed that exact calculation of transition time from stick to slip have more influence on relative displacement between rigid blocks and base. Difference of Relative displacement based on Coulomb friction model and friction force-displacement model is compared. Then, Based on Coulomb friction model,Sliding displacement of rigid blocks under any base excitation is deducted by Newmark linear acceleration method. Under El-centro earthquake,Difference of Relative displacement based on Coulomb friction model and friction force-displacement model is contrasted.