摘要
研究刹车系统的摩擦自激振动和控制问题。采用LuGre模型计算摩擦力,建立了两自由度盘式刹车系统的动力学模型。通过平衡点的稳定性分析,给出Hopf分岔失稳的临界速度。应用基于微分几何法和线性二次型最优控制相结合的方法,设计单输入单输出的非线性系统控制器,以便通过推迟系统的分岔临界速度,减少减速型刹车过程中的摩擦颤振,避免刹车啸叫。最后分析了控制器和系统参数对控制效果的影响。仿真表明,该控制器能有效的抑制刹车系统中的摩擦自激振动。
The non-linear dynamics and control of friction-induced vibration in a brake system are investigated. Adopting the LuGre friction model, the dynamical equations of a 2-DOF disc brake system are derived by considering the friction force between the disc and the pad. The critical speed of Hopf bifurcation of the equilibrium is obtained through stability analysis. The design method based on differential geometry and linear quadratic optimal control for SISO nonlinear system controller is used to reduce the chatter phenomena during deceleration-type braking by postponing the critical speed of Hopf bifurcation. At last, the influences of the controller and the system parameters are analyzed. The simulation result shows that the method based on differential geometry and linear quadratic optimal is effective to control the self-excited vibration.
出处
《工程力学》
EI
CSCD
北大核心
2012年第3期252-256,共5页
Engineering Mechanics
基金
国家自然科学基金项目(10632040
10972154)
天津市自然科学基金项目(08JCZDJC20200)
