关键词: 惯性圆锥破碎机, 多体动力学, 非完整约束, 状态空间法, 单位能耗

Abstract: Inertial cone crushers had the problems of large amplitude and high energy consumption, which restricted the further development in the industrial field. The multi-body dynamics solution may provide a theoretical calculation method for clarifying the relationship of the main dynamics parameters and the amplitude and energy consumption of the whole crushers. When absolute coordinate method was used for model, the constraints of pure rolling of moving cones were equivalent to holonomic and linear nonholonomic constraints.The differential-algebraic equations(DAEs) with first-order liner nonholonomic constraints were obtained. A LU state space method with variable step size was proposed based on implicit Runge-Kutta integration. To verify the validity of the model and numerical algorithm, under the stable conditions, the simulation results of dynamic response of each measuring point of fixed cone were compared and analyzed
 with the industrial field test results. Results show that driving speed, mass of fixed cone, damping coefficient and mass of moving cone have great influences on the amplitude, but the stiffness coefficient has little effects on the amplitude. Increase of the mass of fixed cone may effectively reduce the specific energy consumption, and increase of the damping coefficient in a certain range may increase the damping dissipation and the specific energy consumption.

Key words: inertia cone crusher; , multi-body dynamics, nonholonomic constraint, state space method, specific energy consumption