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中文摘要：
建立了一类基于＂接触-分离＂两状态的含间隙运动副动力学模型,得出了正弦激励下柔性构件不同运动状态下的运动微分方程,给出了运动副接触与分离的判定条件,推导了系统Poincaré映射的线性化矩阵.数值模拟研究表明：柔性杆件振幅跳跃处会出现两种稳态响应,发生鞍结分岔;系统在通向混沌的道路上会出现叉式分岔和倍化分岔,倍化分岔序列因擦边分岔的出现而间断,最终通过Feigenbaum倍周期序列通向混沌;在低频区系统通向颤振的过程中,出现擦边分岔,当振动次数足够大时,系统出现颤振现象.
英文摘要：
The dynamic model with joint clearance is developed based on two states of ＂contactseparation＂ , and the differential equation of motion of flexible members under sinusoidal excitation is established. The condition of judging the contact and separation of the moving pair is presented,and Poincar linear matrix is derived. The numerical simulation indicates that the saddle node bifurcation in the jump of the amplitude frequency curve has two steady states. On the way leading to chaos, the bifurcation and doubling bifurcation will occur, and the sequence of doubling bifurcation will break because of the emergence of grazing bifurcation. And eventually it is led to chaos by Feigenbaum times periodic sequence. In the process of the low frequency system to vibration, the grazing bifurcation occurs. When the vibration frequency is large enough, the flutter phenomenon occurs.
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