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中文核心期刊

时变参数时滞减振控制研究

The research of time delay vibration control with time - varying parameters

  • 摘要: 时滞动力吸振器对谐波激励有着良好的减振控制效果,但对随机激励的减振控制效果却并不明显,具体表现为时滞动力吸振器对随机激励的减振控制效果与被动吸振器几乎相同。针对上述问题,本文提出了一种新的时变参数时滞减振控制方法。在原有时滞减振控制方法的基础上,首先将时滞增益系数由定值形式变为时间函数形式,然后通过时变优化得到多组时滞控制参数并使其以一定时间周期循环作用于减振控制过程,通过这种方法进一步改善了时滞动力吸振器减振性能。本文最后以二自由度时滞动力吸振器减振模型为例,以主系统的振动响应为仿真对象,运用精细积分法求解了具有时变时滞参数的时滞动力学方程,以此得到了在谐波激励和随机激励作用下主系统振动的时域仿真结果。研究结果表明,在时变参数时滞动力吸振器的控制下,主系统无论是受谐波激励作用还是受随机激励作用,其振动位移、振动速度和振动加速度均比在定值参数时滞动力吸振器控制下时有大幅的减少,时滞动力吸振器的减振性能有了明显的改善。

     

    Abstract: The time delay dynamic vibration absorber has good vibration control effect on harmonic excitation, but it has no obvious vibration control effect on the random excitation, which is shown that the vibration control effect of the time-delay dynamic absorber is almost the same as that of the passive vibration absorber. In view of the above problems, this paper proposed a new method of time varying time delay parameter vibration control. On the basis of the original time delay vibration control method, firstly, the time delay gain is changed from fixed value form to time function form, then, the time-varying time delay control parameters are obtained by time varying optimization, and they are applied to the vibration control process in a certain time cycle. By this method, the vibration control performance of the time-delay dynamic absorber is further improved. Finally, this paper takes the Two-degree-of-freedom damping system with time-delay feedback control as the target system, the vibration response of the primary system as the simulation object, using the Precise integration method to solve the dynamic equations with time varying time delay parameters, and obtained the time domain simulation results of the vibration of the primary system under influence of harmonic excitation and random excitation respectively. The results show that, compared with the fixed parameter time delay dynamic vibration absorber , when the primary system under the control of time-varying parameters time delay vibration absorber, its vibration displacement, vibration speed and vibration acceleration are all greatly reduced, whether it is subjected to harmonic excitation or random excitation. The vibration control performance of the time-delay dynamic absorber has been greatly improved.

     

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