论文部分内容阅读
采用Chebyshev多项式法和Floquet理论相结合来预测铣床运行中的颤振和分岔。得到了稳定性极限形图,可以准确地预示机床的稳定性。通过系统的特征值分析得到此系统发生了倍周期分岔和Hopf分岔。系统由稳定的平衡点通过倍周期分岔收敛到稳定的极限环运动,由Hopf分岔转化到概周期运动。庞加莱截面的数值结果也证实了概周期运动的发生。
The Chebyshev polynomial method and Floquet theory are combined to predict flutter and bifurcation during milling operation. The stability of the limit chart, can accurately predict the stability of machine tools. The eigenvalue analysis of the system shows that the system has periodic doubling bifurcation and Hopf bifurcation. The system converges to a stable limit cycle by a doubling period bifurcation from a stable equilibrium point and from Hopf bifurcation to almost periodic movement. The numerical results of the Poincare section also confirm the occurrence of almost periodic motion.