Active vibration control of circular plates coupled with piezoelectric layers excited by plane sound wave

Khorshidi, Korosh; Rezaei, Esmaeil; Ghadimi, Ali Asghar; Pagoli, M.

doi:10.1016/j.apm.2014.08.007

Cited by 28 publications

(13 citation statements)

References 24 publications

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“…(a) Generate rule base according to P Table; (b) Execute the action according to fuzzy inferences; (c) Calculate the reward R t using equation (21); (d) Update the Q Table using equation (19); (e) Update the temperature T using equation (23); (f) Update the P Table using equation (22) Numeric example…”

Section: Repeatmentioning

confidence: 99%

Online learning fuzzy vibration control of smart truss structure

Jiang

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

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This paper deals with the active vibration control of smart truss structure. First, the electro-mechanical coupled dynamic model of the smart structure is constructed. Then, the first-order ordinary differential equation of the control system is presented. After that, an online learning fuzzy control (OLFC) algorithm is proposed to control the structure vibrations. The OLFC algorithm is composed of a reward function, a Q learning algorithm, a rule base generator and a conventional fuzzy controller. The OLFC algorithm learns the rule base by interaction with the plant, and changes rule base generate policy via evaluative reward signal to realize the learning goal. The algorithm only needs little information about the plant to design the reward function. In order to prove the effectiveness of the proposed control algorithm, control responses are presented and compared with conventional fuzzy control method.

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Section: Repeatmentioning

confidence: 99%

Online learning fuzzy vibration control of smart truss structure

Jiang

2016

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…Maxwell 静电场电位移 D Z 不变的条件。 ZHANG 等 [10] 在文献 [9]模型基础上，分析恒定气体压力对压电驱动器位移的影响。相比电压引起位移量，1 kPa 压力引起的位移量和容积变化量较小。RIHAN [11] 对该模型进行模拟和试验，发现理论结果与试验结果趋势相一致，并分析腔体内压升和流量随压电振膜横向位移变化关系。HUANG 等 [12] 将压电层内各方向弯矩等效转化为径向剪力 Q r ，分析压电层横向位移以及压电层等效刚度和压电层振动频率； KHORSHIDI 等 [13] 给出双层压电附合圆形平板各层力矩的表示法，并分析不同阶频率下的压电位移响应。但压电内场强为正弦函数，并不满足电位移为常量。文献…”

Section: 解压电驱动器横向位移。并分析压电振膜中性层位置和整个压电驱动器的等效弹性模量和等效泊松比的计算方法，但压电内仍为均匀unclassified

“…[12]和文献 [13]的压电模型均从力学角度建立压电驱动器横向位移的数学模型。说明通过分析结构的受力，可预测压电驱动器各点横向位移。参数优化方面，LI 等 [9] 发现圆形压电材料的物理参数和直径对圆形压电驱动效果有明显影响，弹性层横向位移将会随着压电层厚度和粘性层厚度的增加而减少，建议弹性层厚度与压电圆半径比率在 0.02 时，压电振膜有较高的横向位移；范勇 [14] 指出不同厚度的压电致动器，圆形压电的最优半径各不相同，压电层与弹性层的最优半径比和电压无关； WANG 等 [15] 研究压电材料的物理参数 S m /S 11 对压电驱动器静态横向位移的影响，并指出压电驱动器材料的性能会影响整体结构的横向位移； KAN 等 [16] 通过试验发现微泵的性能主要受薄膜厚度和半径的影响，流体流量、被压和输出能量效率将会随着薄膜厚度减少而增加，在材料和结构确定时，存在最优半径比使腔内流体流量和压力最高。现有文献较少从力学角度解释压电驱动器形变机理和场强分布不满足 Maxwell 静电场理论 [17] ，导致压电材料力学分析并不完整，而且没有在总厚度一定的条件下，分析压电厚度和弹性膜厚度对整体结构位移的影响性。有必要将完整的电学条件和力学条件引入到压电驱动器的力学模型中，构建合理的计算压电振膜横向位移方法，并讨论不同参数，特别是厚度，对压电驱动器横向位移的影响。从薄板小挠度形变理论和压电层内电位移在压电厚度内保持恒值等条件出发，由圆平面的广义胡克定理 [18] 建立各层薄膜 r 和 θ 两个方向应变、应力和弯矩关系式，并用压电内电场弯矩和薄膜形变所需弯矩相等条件求解压电驱动器横向位移解析式。在提高压电驱动器横向位移方面，进行参数影响分析与参数优化。 1 压电振膜的理论模型…”

Section: 解压电驱动器横向位移。并分析压电振膜中性层位置和整个压电驱动器的等效弹性模量和等效泊松比的计算方法，但压电内仍为均匀unclassified

Analytical Deflection Model and Parametric Optimization of a Circular Diaphragm-type Piezoactuator

Liang¹

2018

JME

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Abstract：With the theory of thin diaphragm deformation and the piezoelectric constitutive equation, under the constant voltage conditions, an analytical model on deflection of a circular piezoelectric actuator is proposed to investigate the stress distribution of the actuator. Based on the geometric parameters and material properties of the literatures, the model results agree with the literature experimental data and simulations within 10%. Furthermore, the accuracy of model results is also validated by experiments with the maximal offset less than 7%. Thus, the model results are used for studying the impacts on piezoelectric actuator displacement in the different parameters, which include the voltage, the radius ratio and the thickness of piezoelectric layer and elastic layer. The results show that: the displacement of circular piezoelectric actuator linearly varies with the voltage, and the optimized radius ratio of piezoelectric layer and elastic layer is 0.75 to obtain the maximal center displacement of circular piezoelectric actuator. Moreover, when the voltage, material properties and radius ratio are fixed, the impacts on the displacement of circular piezoelectric diaphragm under the different thickness of piezoelectric layer and elastic layer are analyzed. With the fixed thickness of the multi-layer, the optimal thickness ratio of piezoelectric layer and elastic layer is obtained by analytical model results. By analyzing the different influences of these parameters, the structure design of a circular piezoelectric actuator is guided and optimized.

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“…Naturally, the optimal control problems of the Petrowsky systems are also studied. Some approaches are discussed to solve the problems about the optimal control of vibration systems [11][12][13][14][15][16][17][18][19][20][21][22][23]. In [11][12][13], the methods of multiplier and operator semigroups are applied to solve the optimal control problems of some general Petrowsky systems.…”

Section: Introductionmentioning

confidence: 99%

“…In [14][15][16], a functional analysis approach is used to obtain the necessary conditions for controllability and approximate controllability of the vibration systems. Sometimes the approximate controllability of a vibration system can also be solved through the convergence of a sequence of standard control problems as in [17]. In [18], the optimal control of discretely connected parallel vibration beams is discussed by the means of the Galerkin coupled with parameterization.…”

Section: Introductionmentioning

confidence: 99%

The Time-Optimal Control Problem of a Kind of Petrowsky System

et al. 2019

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In this paper, we consider the time-optimal control problem about a kind of Petrowsky system and its bang-bang property. To solve this problem, we first construct another control problem, whose null controllability is equivalent to the controllability of the time-optimal control problem of the Petrowsky system, and give the necessary condition for the null controllability. Then we show the existence of time-optimal control of the Petrowsky system through minimum sequences, for the null controllability of the constructed control problem is equivalent to the controllability of the time-optimal control of the Petrowsky system. At last, with the null controllability, we obtain the bang-bang property of the time-optimal control of the Petrowsky system by contradiction, moreover, we know the time-optimal control acts on one subset of the boundary of the vibration system.

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Active vibration control of circular plates coupled with piezoelectric layers excited by plane sound wave

Cited by 28 publications

References 24 publications

Online learning fuzzy vibration control of smart truss structure

Online learning fuzzy vibration control of smart truss structure

Analytical Deflection Model and Parametric Optimization of a Circular Diaphragm-type Piezoactuator

The Time-Optimal Control Problem of a Kind of Petrowsky System

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