中文摘要：

以振动破碎机为工程背景，研究一类含间隙滞回动力系统的动力学行为。首先根据三角型滞回特性确定恢复力拐点的数值计算方法，然后数值分析该类系统的周期运动和分岔。计算结果表明间隙是一个敏感动力学参数，随着间隙大小的改变，系统的动力学行为也随之发生复杂的变化。另外，在某一频率比范围内，系统具有同一周期不同相轨迹的运动轨道，这种运动的复杂性会直接影响破碎机的破碎效率。

英文摘要：

Taking the vibratory crusher for the engineering background, the dynamical characteristics of a class of hysteretic system with gaps are investigated. Firstly, according to triangular hysteretic model, the computational procedure for locating turning point if restoring force is suggested. Secondly, periodic motions and bifurcations are numerically simulated. The results indicate that the gap is a sensitive dynamical parameter. The dynamical behaviors of the system under the considered parameter have the complex change along with the gap size change. On other hand, the system has various orbits with same period in some frequency range. The complexity of dynamical behavior may directly affect on efficiency of the vibratory crusher.