According to Lagrange’s equation, the governing equation for a base isolated structural system was presented, with a variable friction coefficient RFPS (the rolling friction pendulum system) bearing on arbitrary curves. Its solution was presented with software prepared from MATLAB language. Results show that the variable friction coefficient RFPS might result in complication of structural dynamic responses. It is noticed that seismic mitigation efficiency for the variable friction coefficient is close to that for the high friction coefficient, but with notable disadvantages to the lower friction coefficient. As RFPS slipper transits from the low- to the high-friction area, the structural system could exhibit noticeable whipping effect, which will amplify story accelerations. It is suggested that lower friction coefficient FPS bearings, instead of variable friction coefficient RFPS bearings, should be applied.

根据拉格朗日方程，提出了基础隔震结构系统的控制方程，其可变摩擦系数RFPS（滚动摩擦摆系统）位于任意曲线上。使用从MATLAB语言编写的软件介绍了其解决方案。结果表明，可变摩擦系数RFPS可能导致结构动力响应的复杂化。注意到，可变摩擦系数的减震效率接近于高摩擦系数的减震效率，但是对于较低的摩擦系数却具有明显的缺点。当RFPS拖鞋从低摩擦区域过渡到高摩擦区域时，结构系统可能会显示出明显的鞭打效果，这将使故事加速。建议采用较低摩擦系数的FPS轴承，