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压电智能环形板的主动控制 总被引:1,自引:0,他引:1
对在不同位置粘有任意多组压电传感器和压电执行器的轴对称弹性环形薄板的振动控制进行了研究.根据压电执行元件的等效作用量得到了压电智能环板的振动控制方程和传感方程,再利用分离变量法以及由传感器测得的电量和作用在执行器上电压之间的控制模式得到振动方程的全解.实行了对整体结构的主动控制.对不同的压电片布置进行了数值计算.结果表明:当离散分布压电元件布置越密,振动衰减的效果越佳 相似文献
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压电作动器可以把电能转换成机械能,在结构主动振动控制中具有应用背景. 由于压电作动器的布局对振动控制效果影响很大,因此作动器布局优化一直是结构控制研究的关键之一. 为了提高压电结构控制能量的利用效率,本文提出了以提高结构可控性为目标的压电作动器的拓扑优化方法. 基于经典层合板理论对压电结构进行了有限元建模,并采用模态叠加法将动力控制方程映射到模态空间,推导了基于控制矩阵奇异值的可控性指标. 优化模型中,选取可控性指标指数形式为目标函数,将设计变量定义为作动器单元的相对密度,并基于人工密度惩罚模型构造了压电系数惩罚模型,给出了基于控制矩阵奇异值的可控性指标关于设计变量的灵敏度分析方法. 优化问题采用基于梯度的数学规划法求解. 数值算例验证了灵敏度分析方法和优化模型的有效性,并讨论了主要因素对优化结果的影响. 相似文献
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《European Journal of Mechanics - A/Solids》2001,20(3):435-456
In this paper a novel device aimed at controlling the mechanical vibrations of plates by means of a set of electrically-interconnected piezoelectric actuators is described. The actuators are embedded uniformly in the plate wherein they connect every node of an electric network to ground, thus playing the two-fold role of capacitive element in the electric network and of couple suppliers. A mathematical model is introduced to describe the propagation of electro-mechanical waves in the device; its validity is restricted to the case of wave-forms with wave-length greater than the dimension of the piezoelectric actuators used. A self-resonance criterion is established which assures the possibility of electro-mechanical energy exchange. Finally the problem of vibration control in simply supported and clamped plates is addressed; the optimal net-impedance is determined. The results indicate that the proposed device can improve the performances of piezoelectric actuation. 相似文献
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用两种功能材料综合控制智能梁的振动 总被引:3,自引:0,他引:3
给出了用两种材料对梁进行振动控制的综合控制方法。采用多层分布压电层进行精密主动控制时,将压电传感层和压电致动层分割成若干单元来设计压电模态传感器和压电模态致动器,进而实现了梁的模态控制,同时利用形状记忆合金的超弹性特性对梁进行被动控制来抑制梁的大振幅振动,取得了很好的控制效果。 相似文献
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压电复合材料层合板自适应结构的振动控制 总被引:10,自引:0,他引:10
本文针对板壳型自适应结构,研究了压电材料作为作动器的自适应结构的振动控制。利用四节点压电复合材料层合板单元进行自适应结构的有限元动力分析;采用模态控制方法,将结构的各阶模态的阻尼比作为控制目标,并以此计算出各压电片的控制电压,达到控制结构振动的目的。算例给出了数值计算的结果。 相似文献
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利用压电材料固有的正,逆压电效应可以对结构变形和振动进行控制。与外加电场与极化方向平行于板厚度的压电材料的拉伸作动机制相比,外加电场与极化方向垂直的压电材料的剪切作动机制可以在作动器内产生较小的应力,从而降低作动器边界产生分层破坏的危险。本文对于压电材料的剪切作动机制进行研究,应用三阶剪切变形理论建立带剪切型压电激励器的智能层合板模型。采用哈密顿原理导出带剪切型压电激励器的层合板的控制方程。采用空间法得到了各种边界条件组合条件下板的解析解。数值算例对一三层板采用高阶和一阶剪切变形理论进行计算,结果表明两种理论所得的变形曲线很相似。但对于厚度剪切型激励器而言,由于激励器是引起板的剪切变形,而高阶剪切变形理论比一阶剪切变形理论能更好地反映结构的剪切应变能,因此高阶剪切变形理论可以提供板变形的更为精确的解。因此,对于厚度剪切型激励器,剪切变形理论的选取对于板变形结果的好坏有重要的作用。 相似文献
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This paper presents a wavelet-based approach of deformation identification and vibration control of beam-type plates with geometrically nonlinear deflection using piezoelectric sensors and actuators. The identification is performed by transferring the nonlinear equations of identifying deflection into a system of solvable nonlinear algebraic equations in terms of the measurable electric charges and currents on piezoelectric sensors. After that, a control law of negative feedback of the identified signals of deflection and velocity is employed, and the weighted residual method is chosen to determine control voltages applied on the piezoelectric actuators. Due to that the scaling function transform is like a low-pass filter which can automatically filter out high-order signals of vibration or disturbance from the measurement and the controller employed here, this control approach does not lead to the undesired phenomenon of control instability which is generated by the spilling over of high-order signals. Finally, some numerical simulations are carried out to show the efficiency of the proposed approach. 相似文献
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弹性板振动的多模态主动控制 总被引:2,自引:0,他引:2
采用多对压电片对板振动的多阶模态进行主动控制。为了改善结构振动控制的效果,本文对选用结构振动能量和控制信号能量作为控制目标函数的LQR控制算法作了初步研究。首先,按能量准则推导了控制目标函数中权系数矩阵(Q矩阵和R矩阵)的理论计算公式,为权系数矩阵的选取提供了一定的理论依据。然后,运用该算法,在研究了单对压电片进行振动主动控制的基础上.本文深入分析了压电层合板振动的多阶模态控制的问题,用Matlab进行系统仿真,得到了压电层合板受到初始位移激励下板中心点的位移和控制电压大小随时间变化的曲线。数值模拟的结果表明,该方法能达到更有效控制结构振动和减小控制能量消耗的目的.进一步验证了该方法能达到有效控制结构振动和减小控制能量消耗的目的。 相似文献
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《Comptes Rendus de l'Académie des Sciences》2000,328(7):547-553
This paper focuses on the design of distributed control related to distributed mechanical systems. Sensors and actuators are assumed to be numerous and periodically distributed. The problem adressed in this paper is: “Can we find a way to approximate an optimal control law with a distributed electronic circuit?” A solution to this problem is proposed in the framework of vibration control of a thin plate using piezoelectric actuators and sensors. 相似文献
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Spacesmictures,aircraftstrUctures,satellitesandsoonarerequiredtobelightinweightduetotherequirementofoperation.TheyarealsolightlydampedbecauseofthelowinternaldampingofthematerialsusedintheirconstrUction.Thus,theywillgeneraiClargeamplitudevibration,whichmayreducetheprecisionofoperationandaffectthePerformanceofoperation.Itisessentialtousesuitablecontrolsystemtocontrolthevibrationofsimctures.Sincethesesmicturesaredistributedparametersystemshavinganinfinitesetofvibrationmodes,thecontrolsystemwith… 相似文献
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非线性压电效应下压电弯曲执行器的动力分析 总被引:3,自引:1,他引:3
研究压电弯曲执行器在强电场作用下的非线性动力行为.考虑电致伸缩和电致弹性的非线性压电效应,导出了压电悬臂执行器变刚度的弯曲振动控制方程.利用非定常振动的渐近理论,讨论了弯曲压电执行器的动力特征.根据目前的非线性模型可以计算压电悬臂执行器的固有共振频率与电场的变化关系.结果表明压电执行器端头挠度谐振幅度随作用电场振幅的增大而增大,以及力学品质因数随电场振幅的增大而减少,并且与实验结果非常吻合.通过数值比较得到在电场频率随时间变化非常缓慢的情况下非定常振动问题可以近似地用定常振动来处理. 相似文献
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机敏柔性梁的振动主动控制 总被引:1,自引:0,他引:1
提出了用于机敏结构中振动主动控制的仿人控制算法,对压电阻尼技术进行了理论和实验研究,给出了传感器,执行器和受控结构之间的关系,用PZT作执行元件实现了柔性梁振动主动控制系统,给出了实验结果。 相似文献
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压电层合板结构振动控制的有限元法 总被引:11,自引:0,他引:11
利用有限元方法模拟压电结构的振动控制,从Hamilton理论出发推导出具有压电传感器及激励器的层合板的电耦合动力方程,应用Lyapunov及负速度反馈控制算来实现振动的控制。 相似文献
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The piezoelectric materials are used to investigate the active vibration control of ordered/disordered periodic two-span beams. The equation of motion of each sub-beam with piezoelectric patches is established based on Hamilton's principle with an assumed mode method. The velocity feedback control algorithm is used to design the controller. The free and forced vibration behaviors of the two-span beams with the piezoelectric actuators and sensors are analyzed. The vibration properties of the disordered two-span beams caused by misplacing the middle support are also researched. In addition, the effects of the length disorder degree on the vibration performances of the disordered beams are investigated. From the numerical results, it can be concluded that the disorder in the length of the periodic two-span beams will cause vibration localizations of the free and forced vibrations of the structure, and the vibration localization phenomenon will be more and more obvious when the length difference between the two sub-beams increases. Moreover, when the velocity feedback control is used, both the forced and the free vibrations will be suppressed. Meanwhile, the vibration behaviors of the two-span beam are tuned. 相似文献