中文摘要：

为精确快速地预测柔性梁因斜碰撞导致的复杂瞬态动力响应,提出了一种可同时计及局部接触区法向接触柔度、切向接触柔度以及柔性梁整体结构柔度的混合分析模型（HAM）。基于有限段法的思想,将柔性梁的整体位移场离散为弹簧-阻尼-刚体系统,局部接触区的法向双线性压缩-恢复以及切向摩擦变形过程则用含有能量恢复系数的弹塑性弹簧-质点系统进行描述。依据HAM模型,导出了斜碰撞系统在不同接触状态下的分段连续动力学方程。给出了法向压缩-恢复状态和切向黏-滑运动状态的切换准则,并运用事件驱动法对数值算例进行了求解。通过比较HAM模型解、实验数据以及商业有限元解,表明该模型能准确预测接触力的时间历程并描述反复切换的黏-滑（反向）运动模式,验证了HAM模型的可行性。

英文摘要：

In order to quickly and accurately estimate the complex transient behavior of oblique collision with friction,a hybrid analysis model（HAM）is presented in this paper.This model takes account of the normal contact compliance,the tangential contact compliance of the local contact zone and the global compliance of the beam altogether.Based on the finite segment theory,the displacement field of the non-contact zone of the beam is discretized into a spring-damper-rigid body system.The bilinear process of normal compression-restitution deformation and the tangential deformation process of the local contact zone are described by an elastic-plastic spring-particle system with energy coefficient of restitution.The dynamic equations of the HAM which are piecewisely continuous under different contact states are derived.According to the switching criterion between compression and restitution as well as stick and slip,numerical examples are solved by the event-driven method.Through comparison of the results with the experimental data and those obtained by the commercial finite element software,it is shown that the hybrid model can accurately estimate the time history of contact forces and describe the repeatedly transition between stick and slip motion,which validate the applicablity of HAM.