时滞减振技术在非线性振动系统中的应用

发布时间：2018-05-24 16:01

本文选题：减振 + 非线性　；参考：《西安电子科技大学》2014年硕士论文

【摘要】：时滞减振是一种新兴的减振技术,具有实时调节、减振频带宽、减振效果好、减振器结构简单等优点。由于时滞动力系统相当的复杂,其理论不算成熟,并且多数的研究大多是线性系统,对于非线性系统的时滞减振研究还很少。本文主要研究的是时滞减振技术在非线性振动系统中的应用,着重分析了时滞与反馈增益系数对系统减振的影响。本文首先以一个单自由度振动系统为研究对象,在振动系统上作用简谐外激励,然后利用时滞反馈控制来研究其对系统振动的影响,对系统的运动微分方程进行摄动分析,采用多尺度法求出非线性振动系统的近似解析值,又利用Routh-Hurwit判据分析了系统的稳定性,接着分析了系统的非线性刚度系数和阻尼系数对系统主共振的幅频曲线的影响,最后分析了在时滞反馈控制状态下,时滞和反馈增益系数对系统主共振的幅频曲线的影响。在上述研究的基础上,给系统耦合上一个辅助机构,求得主共振和1:1内共振共同发生时的平衡解,接着研究了时滞反馈控制对自参数减振系统的影响,时滞和反馈增益系数在某个区间能够减小主系统的振动,并且在调节反馈增益系数的基础上再进行时滞调节,能最大程度的减小系统的振动,利用时滞反馈控制可以最大程度的减小主系统的振动,相比于无时滞动力吸振器振动分别达到了20%,35%,55%。本文最后还研究了非线性饱和控制器控制悬臂梁的一阶振动模态,分析了时滞对减振频带漂移和频带宽度的影响,从而利用时滞控制系统的减振频带漂移问题。本文主要研究的是时滞减振技术在非线性振动系统中的应用,结果表明时滞减振技术对非线性振动系统有着显著的减振效果,且控制简单方便。
[Abstract]:The time-delay damping is a new vibration absorption technology, which has the advantages of real-time adjustment, frequency bandwidth, good damping effect and simple structure of vibration absorber. Because of the complexity of dynamic systems with time-delay, the theory is not mature, and most of the studies are linear systems. In this paper, the application of time-delay damping technology in nonlinear vibration systems is studied, and the effects of time delay and feedback gain coefficient on the vibration reduction of the system are emphatically analyzed. In this paper, a single degree of freedom vibration system is first studied, and a simple harmonic external excitation is applied to the vibration system. Then the effect of time-delay feedback control on the vibration of the system is studied, and the perturbation analysis of the differential equation of motion of the system is carried out. The approximate analytical value of the nonlinear vibration system is obtained by using the multi-scale method, and the stability of the system is analyzed by using the Routh-Hurwit criterion. The influence of the nonlinear stiffness coefficient and damping coefficient of the system on the amplitude-frequency curve of the main resonance of the system is analyzed. Finally, the effects of time delay and feedback gain coefficient on the amplitude-frequency curve of the main resonance of the system are analyzed in the state of time-delay feedback control. On the basis of the above research, an auxiliary mechanism is coupled to obtain the equilibrium solution when the resonance of the winner and the resonance within 1:1 occur together, and then the influence of the feedback control with time delay on the self-parameter damping system is studied. The time delay and feedback gain coefficient can reduce the vibration of the main system in a certain interval, and then adjust the time delay on the basis of adjusting the feedback gain coefficient, so that the vibration of the system can be minimized to the greatest extent. The vibration of the main system can be minimized by using the time-delay feedback control. Compared with the dynamic vibration absorber without delay, the vibration of the main system can reach 20 / 35 / 55 / 55 respectively. Finally, the first order vibration mode of a cantilever beam controlled by a nonlinear saturation controller is studied, and the influence of time delay on the frequency band drift and band width is analyzed. In this paper, the application of time-delay damping technology in nonlinear vibration systems is studied. The results show that the time-delay damping technique has a remarkable effect on nonlinear vibration systems, and the control is simple and convenient.
【学位授予单位】：西安电子科技大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TB535.1

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