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汽车制动器摩擦振动自锁-滑动理论分析
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摘要
本文针对一类由集总参数柔体和刚体摩擦副构成的摩擦振动系统,建立了单自由度非线性动力学模型,采用动力学建模、数学公式推导和数值仿真计算的手段,指出系统不存在"稳定-滑动"状态的条件,后续分析表明该条件即为自锁控制条件,进而得到系统产生自锁-滑动效应的发生条件。通过对比发现,自锁-滑动和粘滞-滑动较为近似,都存在动摩擦状态和静摩擦状态的循环切换,但是自锁-滑动和粘滞-滑动在发生条件和动态响应特征上存在不少区别,包括系统刚度参数是否突变、是否存在动静摩擦系数差、临界带速的计算公式和振动周期的计算公式。
A one-degree-of-freedom nonlinear dynamic model is established,to describe dynamics of a kind of frictional system with friction pairs of a lumped parameter mass and a rigid mass.By means of dynamic modeling,mathematical formula derivation and numerical calculation,the condition under which a system does not possess a steady sliding state is achieved,which is showed to be the spragging control condition in further research.Then,the generating condition under which a system produces sprag-slip effect is obtained.Finally,the comparison indicates that sprag-slip and stick-slip are very similar.They both switch between dynamic friction status and static friction status.But there are differences between sprag- slip and stick- slip in generating condition and dynamic response characteristics.The differences include whether the sudden change of system stiffness parameters occurs,whether static friction coefficient is greater than the dynamic friction coefficient,the critical speed formula of belt and the formula of vibration period.
引文
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