【摘要】 对于两端固定输流管道在基础简谐激励下的单模态系统,利用凹槽滤波器对系统的混沌运动进行了控制。首先计算了未扰系统中同宿轨道内部周期轨道的方程,然后分别计算了引入凹槽滤波反馈后,与系统同宿轨道和周期轨道对应的两个Melnikov函数。根据前者Melnikov函数具有简单零点,得到了系统具有稳态周期解的参数条件。最后对受控系统的运动响应进行了数值仿真,发现在适当的参数条件下,通过凹槽滤波反馈控制,能够成功地将系统的混沌运动引导到稳定的周期运动,并且通过改变凹槽滤波器的增益值,可以将系统的混沌响应引导到不同形态的周期运动。更多还原

【Abstract】 The chaotic motion of a pipe single mode system of the fixed supported at two ends under base excitation is actively controlled by introducing the feedback of notch filter.The equations of both homoclinic and periodic orbits of the unperturbed system are derived firstly,and then the corresponding Melnikov functions were deduced.Under the conditions that the Melnikov functions corresponding to the homoclinic and periodic orbits respectively have simple zeros,the parameters satisfying to introduce the chaotic motion of the system into periodic orbits,are obtained.The numerical simulation is carried out for the response of perturbed system,and the simulation results shows that the system chaotic motion can be successfully induced to periodic motion.For different feedback gains of the notch filter,the responses of the system converge on the different stable periodic solutions.更多还原