分数阶时滞动力吸振器对主系统振动影响

发布时间：2018-03-16 13:02

本文选题：分数阶导数　切入点：时滞　出处：《广西大学学报(自然科学版)》2016年02期 　论文类型：期刊论文

【摘要】：为了研究分数阶时滞动力吸振器对主系统振动的影响,仿照整数阶导数的时滞动力吸振器的设计原理,提出了一种分数阶导数的时滞动力吸振器吸振理论。通过对高哲法的逆向推导,研究分数阶时滞动力吸振器的固有频率与反馈增益关系的确定方法,该方法可以在频率变化的情况下,允许分数阶时滞动力吸振器的固有频率实时跟踪外激励频率而变化。研究发现在保证主系统和动力吸振器稳定的情况下,在一定时滞范围内,通过增加动力吸振器的时滞量可以减小主系统的振动幅值。通过数据仿真分析证明了这种新方法确实可行,吸振器减振效果明显,振动源在加入新型动力吸振器后振动减少了99%左右,几乎将振动完全吸收;在被动型动力吸振器吸振效果降低时,新型的动力吸振器仍然能达到83%的吸振效果。
[Abstract]:In order to study the effect of fractional delay dynamic vibration absorber on the vibration of the main system, the design principle of delay dynamic vibration absorber based on integer derivative is studied. In this paper, a fractional derivative theory of dynamic vibration absorber with time-delay is proposed. The method of determining the relationship between the natural frequency and the feedback gain of the dynamic vibration absorber with fractional order delay is studied by the inverse derivation of the high philosophy method. The method can allow the natural frequency of the fractional delay dynamic absorber to track the external excitation frequency in real time when the frequency changes. It is found that the stability of the main system and the dynamic vibration absorber can be guaranteed within a certain time-delay range under the condition of ensuring the stability of the main system and the dynamic vibration absorber. The vibration amplitude of the main system can be reduced by increasing the time delay of the dynamic vibration absorber. The data simulation results show that the new method is feasible and the damping effect of the vibration absorber is obvious. After adding the new type of dynamic vibration absorber, the vibration is reduced by about 99%, which almost completely absorbs the vibration, and the new type of dynamic vibration absorber can still achieve the effect of 83% when the effect of passive dynamic vibration absorber is reduced.
【作者单位】：山东理工大学交通与车辆工程学院;
【基金】：国家自然科学基金资助项目(51275280)
【分类号】：TB535

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