考虑压电控制电路失谐的叶盘结构振动控制方法研究

【作者】 李林；

【导师】 王艾伦；

【作者基本信息】 中南大学 ， 机械设计及理论， 2011， 硕士

【摘要】 基于压电阻尼技术的振动控制方法是目前叶盘结构振动控制方法研究中最常用的方法。然而,已有的相关研究都是以“控制电路系统是谐调系统”这一基本假设为前提,实际上由于电路元件的制造误差及环境影响等因素,压电控制回路不可能是谐调的,针对这一问题,本文研究考虑压电控制电路失谐的叶盘结构振动控制方法。主要工作如下：1.以适用于多能域建模的功率键合图方法为工具,建立叶盘结构—压电回路耦合系统的键合图模型。先以单叶片—单压电支路模型为对象,根据Hamilton原理建立叶片—压电片运动方程,推导了压电片的等效离散模型以及等效能量转换系数的表达式,然后建立叶盘结构—压电回路耦合系统的键合图模型,并得到系统动力学状态方程。2.研究叶盘结构在叶片刚度确定性失谐下,控制电路失谐对系统动力学特性的影响规律,探讨电容、电感及电阻的不同失谐量以及失谐分布形式对控制效果的影响,对比分析几种不同失谐形式的压电回路控制下叶盘结构的振动特性。同时,搭建了四叶片叶盘结构—压电回路系统试验台,对理论分析结果进行了实验验证。3.针对简单遗传算法存在着收敛速度慢及容易产生“早熟”现象的问题,本文对遗传算法选择算子和变异算子进行了改进。然后,基于改进遗传算法,对压电控制回路分别进行了两模式和四模式优化,对比分析了两种优化电路的控制效果以及花费比,得到效益与花费比值最大的控制电路。并且通过分析优化失谐控制电路控制下叶盘结构最大振幅频率响应,以及电路优化后叶盘最大振幅对叶片刚度失谐强度的敏感性,对优化后的压电控制电路的控制效果进行了评价。本文完善了基于压电阻尼技术的叶盘结构振动控制方法的理论,为这种振动控制方法在工程中的应用提供理论参考。值得说明的是,本文的振动控制方法同样适用于一般循环周期结构的振动控制。更多还原

【Abstract】 Vibration control method using piezoelectric shunt damping system is a common method in the researches of mistuned bladed disk vibration control, in these research papers piezoelectric networks are ideally considered to tune, which is not realistic because of manufacturing error of circuit elements and environmental impact. Aiming at solving this issue, vibration control of mistuned bladed disk structure considering circuit mistuning is studied in this paper. The main research contents read as follows:1. A dynamic model of bladed disk structure with coupled piezoelectric network was established base on bond graph, which is an effective tool for modeling of system with multi-energy domains. This paper firstly takes a model of single blade-single shunted circuit as research subject, derived the equations of motion of the blade with piezoelectric network using the Hamilton’s principle, then obtained the equivalent discrete model and expression formula of the energy transformation coefficient of the piezoelectric patch. Finally, bond graph model of bladed disk structure with coupled piezoelectric network was established, and system state equation was given.2. The effect of piezoelectric network mistune to system’s dynamics characteristic was studied when blades’stiffness is deterministic mistuned. The influences of circuit parameters (capacitance, inductance and resistance) mistuning and distribution pattern of mistuning to vibration control effect were investigated. And vibration characteristics of the bladed disk structure under the control of several different mistuning piezoelectric circuits were analyzed comparatively. In addition, a four blades bladed disk-piezoelectric network test bench was built to validate the correctness of theoretical analysis.3. In order to avoid the defect of slow convergence and "immature convergence" existing in the traditional genetic algorithm, the simple genetic algorithm’s selection operator and mutation operator were improved. Then piezoelectric network was optimized based on improved genetic algorithm, the ratio of control effect to cost was separately analyzed when each circuit parameter has two values and four values, and the maximum ratio network which can be considered to the best circuit was achieved. Then through analyzing the maximum amplitude-frequency response of bladed disk and susceptibility of maximum amplitude to blade stiffness under the control of optimizing piezoelectric network, the control performance of the optimizing piezoelectric network was evaluated.The research production of this dissertation improve the theories of vibration control method of mistuned bladed disk structure using piezoelectric shunt damping system, and these results can provide theoretical reference for the engineering application of this method. In addition, this vibration control method can also be applied to general mistuned periodic structures.更多还原