【摘要】 针对一类含干摩擦的机械振子,引入依赖速度的摩擦函数并对非光滑分段非线性摩擦力函数进行近似处理,给出黏滞滑动周期解析解,以及原方程的数值仿真解。通过控制函数给出系统在稳定黏滞状态下参数的取值范围,并通过数值方法证明黏滞运动已成功消除,验证了此方法的可行性。更多还原

【Abstract】 For a class of mechanical oscillators with dry friction,a velocity-dependent friction function is introduced and the non-smooth piecewise nonlinear friction function is approximately treated,so that the stick-slip periodic analytical solutions are given,respectively. The corresponding stick-slip numerical solution of the original equation is given. Finally,the control function is imposed and the range of parameters when the system is in stable state is given out. The numerical method shows that the stick motion is successfully eliminated and the feasibility of this method is confirmed.更多还原