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中文摘要：
建立了一类冲击钻进系统的力学模型，分析了两类周期碰撞运动的规律和转迁过程，给出了判定系统发生钻进运动的条件，并采用数值计算的方法分析了系统的动力学行为和系统参数对系统钻进效果的影响。塑性碰撞振动系统的部件在碰撞后呈现“同步”或“非同步”运动，导致该类系统的冲击映射具有分段不连续性；碰撞部件的擦碰接触导致系统的冲击映射具有擦边奇异性。塑性碰撞振动系统冲击映射的分段不连续性和擦边奇异性导致该类系统的周期碰撞运动发生非常规分岔。结果表明：Grazing分岔导致n-p运动直接转迁为复杂的长周期多冲击或无规则冲击运动；当激振频率ω在周期1-1运动的冲击速度峰值附近时，质块M1的瞬时冲击速度最大，系统的钻进效果最好。
英文摘要：
A dynamic model of an impact-progressive system is established. The regularity and transition of two types of periodic-impact motions are studied, and the condition for judging the progressive motion of a system is put forward. The dynamic behaviour and the influence of system parameters on progression rate are investigated by numerical simulations. The impact mapping of a vibro-impact system with repeated inelastic impacts is of piecewise property due to synchronous and non-synchronous motions of impact components immediately after the impact, and singularities caused by the grazing contact motions of impact components. The piecewise property and grazing singularity of impact mapping of such systems lead to non-standard bifurcations of periodic-impact motions. The results indicate that the n -p motion transits to long-periodic multi-impact motion or chaotic motion immediately via grazing bifurcation. The maximum impact velocity of the mass M1 and the largest progression of the system are found to occur during period-1 single-impact motion with a peak impact velocity.
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