CAJ | 학술논문

利用计算机仿真及Poincare映射方法研究不对称分段线性非线性机械系统的运动学特征.研究了外激振力角频率从30rad/s以步长0.1rad/s增加到100rad/s时,系统的周期运动分岔和混沌运动.发现其中除了存在倍周期分岔外,还存在P-1到P-3的突变、P-2到P-1的倒分岔和P-3到P-1的突变.给出了全局分岔图、局部分岔图、混沌运动的Poincare映射及3种周期运动的时间历程曲线和相平面图.对于设计此类机械系统具有指导意义.
이용계산궤방진급Poincare영사방법연구불대칭분단선성비선성궤계계통적운동학특정.연구료외격진력각빈솔종30rad/s이보장0.1rad/s증가도100rad/s시,계통적주기운동분차화혼돈운동.발현기중제료존재배주기분차외,환존재P-1도P-3적돌변、P-2도P-1적도분차화P-3도P-1적돌변.급출료전국분차도、국부분차도、혼돈운동적Poincare영사급3충주기운동적시간역정곡선화상평면도.대우설계차류궤계계통구유지도의의.
The characteristics of motion in nonlinear vibration mechanismwith piece-wise linearity were analyzed by means of computer simulation and Poincare method. Bifurcation of periodic motions and chaos in the system were studied when the angular frequencies increase from change 30rad/s to 100rad/s by steps 0.1rad/s. There are sudden changes from P-1 to P-3,inverse bifurcation from P-2 to P-1 and sudden change from P-3 to P-1 except that double-periodic bifurcation exist. The global and part bifurcation figure and Poincare mapping figure of chaos and the time-history curves of 3 periodic motions were given.