基于能量准则的板振动控制的LQR法

针对压电层合结构振动的主动控制问题，为了优化控制效果，本文基于现代控制理论提出了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法。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，分析了压电层合板受到初始位移激励和冲击载荷作用下的控制过程，用Matlab进行系统仿真，得到了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，与一般的LQR控制方法相比，能满足系统多方面的设计要求且控制效果更优，从而验证了该LQR方法运用到结构振动主动控制中的可行性。     

压电层合板热屈曲问题的精确分析

本文在作者们以前工作的基础上导出了热压电介弹性稳定性问题的控制微分方程，提出了热压电层合板热屈曲问题的数学和学解法。由于最后所得特征值问题的复杂性，热屈曲临界必须数值求解。文中对不同压电材非压电材料层构成的层合板作了具体计算，考虑了压电性对屈曲温度的影响。     

Periodic contact between piezoelectric materials and a rigid body with a wavy surface

An exact analysis is conducted for periodic, two-dimensional (2D) contact of piezoelectric materials in contact with a rigid body with a wavy surface pressed by uniform stresses at infinity. For three cases of eigenvalue distribution, three harmonic functions automatically satisfying the periodicity conditions are carefully constructed to facilitate the derivation of the solution of the considered problem. The stresses and electric displacements are obtained as infinite series. It is found that for the full contact case, the disturbance stress and electric displacement fields remain only the first harmonic which has the slowest decay in the y-direction. The convergence behaviours of the infinite series are checked, which shows that the external loading p and different positions have a great effect on the convergence behaviours of the infinite series and 400 terms are enough to get accurate solution at each position. Numerical results are presented to justify the validity of the present derivation and show the effect of the external loading on the contact behaviours.     

Identification of hybrid ARX-neural network models for three-dimensional simulation of a vibroacoustic system

Acoustic noise in industrial areas, typically generated by compressors and vacuum pumps, may be mitigated by the combined use of passive and active noise control strategies. Despite its widespread use, the traditional Active Noise Control (ANC) technique requires error feedback and has been proven to be effective only within a small spatial region. When the movement of human ears is required within a large region and error feedback is difficult to be accomplished, new cancelling strategies have to be devised to achieve acceptable levels of spatial coverage. In the pursuit of this goal, this paper proposes a vibroacustic model to predict noise radiated from machinery. The model output is the sound signal of the noise at a given point inside a closed room. The two model inputs are the vibration signal at the noise source and the spatial coordinates of the intended point. Experimental output data were measured at several points inside a region defined by a solid rectangle. A fixed-order ARX model was chosen (AutoRegressive with eXogenous input), and for each spatial point and its corresponding pair of input-output signals, a set of parameter values was estimated. To integrate all these models into a single one, a neural network was employed to associate or approximate each set of parameters to its spatial coordinates. With this approach, the total number of parameters is expected to be greatly reduced, when considering the original separated models. Experimental results are presented and comparisons with other models are established on the basis of least-square error metrics and parsimony of parameters. A qualitative perspective for employing the proposed model in the design of large-region ANC strategies is also offered.     

VIBRATION SUPPRESSION OF A FLEXIBLE PIEZOELECTRIC BEAM USING BP NEURAL NETWORK CONTROLLER

This paper aims at modeling and developing vibration control methods for a flexible piezoelectric beam. A collocated sensor/actuator placement is used. Finite element analysis (FEA) method is adopted to derive the dynamics model of the system. A back propagation neural network (BPNN) based proportional-derivative (PD) algorithm is applied to suppress the vibration. Simulation and experiments are conducted using the FEA model and BPNN-PD control law. Experimental results show good agreement with the simulation results using finite element modeling and the neural network control algorithm.     

In‐situ X‐ray diffraction study of an electric field induced phase transition and giant strain in Na0.5Bi0.5TiO3–x %BaTiO3 lead‐free single crystals

A giant electric field (E) induced strain of ε = 0.60% has been observed for Na_0.5Bi_0.5TiO₃–5.6%BaTiO₃ single crystals under E = 20 kV/cm at 130 °C. In‐situ X‐ray diffraction (XRD) revealed that this induced transition was between pseudocubic and tetragonal structures. Our work provides a potential alternative to lead‐based piezoelectric materials. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Gravimetric And Quantum-chemical Study of Interaction of Monoethanolamine Vapor With Silica Surface

Kinetics of the monoethanolamine vapor adsorption on the surface of silica previously deposited onto quartz plate was examined by the piezoelectric microweighing. With the assumptions which are in accord with the experimental data, the kinetic equation of the process was obtained and thus the adsorption and desorption constants were found. The structure of the possible adsorption complexes was studied in the framework of the quantum-chemical MNDO method and the conclusion was made that the two-center adsorption of the monoethanolamine on the silica surface proceeds as a two-stage process with the participation of both functional groups. The bonding is mainly effected owing to the proton-acceptor properties of amine groups. This revised version was published online in August 2006 with corrections to the Cover Date.     

(111)取向0.7PMN-0.3PT薄膜机电耦合性能

铁电薄膜由于其优异物理性能,而被广泛应用于微电子、光电子、微机电领域。在铁电薄膜理论研究方面,热力学理论可以有效地预测铁电薄膜的相结构、极化特性和机电性能等,且已在(001)取向铁电薄膜的研究中取得了较好的应用,而对于(111)取向铁电薄膜的研究报道非常少。因此,本文通过对序参量坐标转换的方法,构建了(111)取向薄膜的热力学势能函数及其机电性能计算方法。基于此,研究了(111)取向0.7PMN-0.3PT铁电薄膜的相结构及其机电性能。研究结果表明,(111)取向0.7PMN-0.3PT铁电薄膜的相结构主要存在沿晶轴方向三个极化可互换的对称相:顺电相PE、菱方相R和单斜相M_A(或M_B)。在应变和外电场的调控下,(111)取向0.7PMN-0.3PT薄膜展现出优良的机电性能,在R和M_A相变点处,介电常数ε11、ε22、ε33和面外压电系数d33取得了极大值。在外电场E₃分别为0、50 kV/cm、100 kV/cm和200 kV/cm时,面外介电常数ε33的峰值分别为4 382、2 646、2 102和1 600,面外压电系数d33的峰值分别为303.8 pm/V、241.9 pm/V、219.7 pm/V和195.1 pm/V。应变和外电场能够较好地调控薄膜的机电耦合性能,可为优异机电耦合性能的器件制备提供参考。     

减阻工况下壁面周期扰动对湍流边界层多尺度的影响

通过在平板壁面施加不同频率振幅的压电陶瓷振子周期性扰动,进行了湍流边界层主动控制减阻的实验研究.在压电陶瓷振子最大减阻工况下(80 V和160Hz),使用单丝边界层探针对压电振子自由端下游2mm处进行测量,得到不同法向位置流向速度信号的时间序列.通过对比施加控制前后的多尺度分析,发现压电振子产生的扰动只对近壁区产生影响,使得近壁区大尺度脉动降低,小尺度脉动强度增大,而对边界层的外区则基本没有影响.进一步对大尺度和小尺度的脉动信号进行条件平均,发现压电振子产生的扰动对小尺度脉动的影响在时间相位上并不均匀,小尺度脉动强度在大尺度脉动为正时比在大尺度脉动为负时具有更明显的增加.这表明壁面周期扰动主要通过使大尺度高速扫掠流体破碎为小尺度结构,来影响相应的高壁面摩擦事件,从而达到减阻效果.      

压电纳米板中SH型导波的传播特性

压电纳米材料具有机电耦合性强、功耗低和反应灵敏等独特性能,且能满足工程对压电器件微型化的要求,从而在传感、微纳米机电系统和柔性电子器件等领域展现出了广阔的应用前景. 高比表面积引起的表面效应是压电纳米材料最重要的结构特征之一,其对材料的整体力学性质起着决定性的作用.表面效应会导致应力和电位移在压电表面的两侧出现间跃,故传统的力电场连续性条件将不再适用.考虑表面为不计厚度却拥有独立材料参数的薄层,采用表面压电模型计及表面弹性、表面压电性、表面介电性和表面密度的影响,本文研究了压电纳米板中SH型导波的传播特性,给出了板边界处的非典型力电平衡条件,得到了频散方程的解析表达,并结合数值算例详细讨论了表面材料参数和结构尺寸对对称和反对称频散模态的影响.结果表明:SH型导波在压电纳米板中的传播具有明显的尺寸相关性,即当板厚很小时,表面效应会显著改变其频散行为,而随着板厚的增大,表面效应的影响会不断减弱直至可忽略不计.