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压电分流电路特性及在结构振动控制中的应用研究
Study on the Property of Piezoelectric Shunt Circuit and Its Application to Structural Vibration Control
【作者】 孙浩;
【导师】 杨智春;
【作者基本信息】 西北工业大学 , 固体力学, 2005, 硕士
【摘要】 压电分流阻尼系统作为一种新型的被动控制方法以其结构简单、功耗小、鲁棒性好等优点在振动控制领域得到了广泛的应用,对于电阻型(resistive)、电容型(capacitive)、电感型(inductive)和转换型(switched)压电分流的电路特性以及在振动控制中的应用,在国外已进行了多年的研究,国内此项研究仍处于起步阶段。本文以各种压电分流电路特性及在柔性结构振动控制中的应用为研究目的,开展了对压电分流技术抑制结构振动的理论和实验研究工作。 本文主要进行了以下四个方面的工作: 1.论文对RL串联、RL并联和RL-C并联三种较为典型的压电分流电路用于悬臂梁系统的振动控制进行了理论分析,利用传递函数参数优化方法和极点配置参数优化方法这两种不同的优化方法以系统的传递函数和系统自由响应的衰减系数为优化目标进行参数优化计算,得到不同压电分流电路和参数优化方法下电阻和电感元件的优化值,并对三种压电分流电路的振动控制效果进行了对比分析。然后针对一个柔性悬臂梁的振动控制问题,分别对三种类型压电分流电路的振动控制效果进行了实验研究,验证了理论分析结果的正确性和压电分流阻尼系统应用于结构被动振动控制的可行性和有效性。 2.论文进行了压电分流电路中压电元件的布局优化分析,推导出优化目标,确定了约束条件,在优化计算的算例基础上提出了进行优化分析的主要步骤,为进行多模态压电分流阻尼系统的设计提供了基础。 3.论文以单模态振动控制的压电分流电路为基础组建了多模态压电分流电路,利用反共振电路来避免各种频率振动诱导出的电流之间谐振时的相互干扰问题,并以单模态压电分流电路的参数优化计算为基础,进行了多模态压电分流电路的参数优化计算,确定了各分支压电分流电路中元件的优化值,然后对基本型多模态压电分流电路进行改进,简化了电路结构,提出了一种改进型多模态压电分流电路,提高了压电分流电路的抑振效能。在理论分析的基础上,搭建了采用多压电元件的多模态压电分流电路进行振动控制的实验研究,取得了较好的抑振效果,并讨论了多模态压电分流电路在振动控制实验中存在的问题。 4.针对单模态压电分流电路对振动控制的频率带宽较窄和多模态压电分流西北工业大学硕士学位论文电路结构及参数优化计算较复杂的情况,本文利用由负阻抗变换器改进而成的对振动频率具有一定自适应能力的模拟电感,搭建了RL串联压电分流电路和RL并联压电分流电路,通过对宽频带振动的控制研究,讨论了在此分流电路中采用不同的电阻元件对振动控制效果的影响。 上述工作为进一步将压电分流技术应用到精密机械微振动控制的研究打下了基础。关键词:压电分流振动控制极点配置传递函数参数优化多模态振动频率自适应
【Abstract】 As a new type of passive vibration control technique, piezoelectric shunt damping system has been widely used in the field of structural vibration control because of its simple structure, less power supply and robustness. As inductive shunt damping system does better in vibration control than such shunt systems as resistive shunt system, capacitive shunt system and switched shunt system, the most researches have addressed the application of this shunt system to passive vibration control. But such work is just underway in China.In this dissertation, the application of three classic piezoelectric shunt damping systems using RL series circuit, RL parallel circuit and RL-C parallel circuit to passive vibration control of a aluminum flexible cantilever beam has been investigated theoretically and experimentally. The main research work in this dissertation includes:1. The circuit parameters are optimized according to pole placement technique to increase exponential time decay rate of the free vibration to suppress the transient free vibration of the cantilever beam. And the circuit parameters are also optimized according to the amplitude of transfer function to suppress the steady response of the beam. Some experiments are carried out to verify the feasibility and effectiveness of passive vibration control with three different piezoelectric shunts damping systems, which are in good agreement with theoretical predictions.2. The layout of the piezoelectric components of piezoelectric shunt damping system is optimized. The objective function and constraints of optimization are formulated. On the basis of two optimization illustrations, the main process of optimization in designing the piezoelectric shunt damping system is given, which lays the groundwork for the design of multiple mode piezoelectric shunt.3. According to the single mode piezoelectric shunt, a type of multiple mode piezoelectric shunt circuit is set up, which uses the anti-resonant circuit to make thedifferent frequency current not interfering with each other. The values of electric components of multiple mode piezoelectric shunt circuit are optimized based on the optimization method of single mode piezoelectric shunt circuit. Then this basic multiple mode piezoelectric shunt circuit is improved to simplify its configuration and enhance its shunting efficiency. At last some vibration control experiments are conducted, vibration control results are obtained by using the basic and improved multiple mode piezoelectric shunt circuits based on theoretical investigation. Both of these piezoelectric shunt circuits work well in controlling the vibration of cantilever beam. And some problems worth further research in the experiments are also proposed.4. Considering that the controllable frequency bandwidth of single mode piezoelectric shunt circuit is limited and the configuration of multiple mode piezoelectric shunt circuit is complex, a new kind of simulated inductor is developed from a negative impedance converter, which has the frequency adaptive feature. The piezoelectric shunt damping system which uses RL series and RL parallel circuits consisting of the new simulated inductor and resistance is used to control the vibration. And the effect of different resistance values on the vibration control is studied.The research work of this dissertation is supported by the National Natural Science Foundation of China (Grand number: 50375122).
- 【网络出版投稿人】 西北工业大学 【网络出版年期】2005年 04期
- 【分类号】TM133
- 【被引频次】12
- 【下载频次】445