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基于小波理论的悬臂板压电动力控制模式
引用本文:周又和,王记增.基于小波理论的悬臂板压电动力控制模式[J].力学学报,1998,30(6):719-727.
作者姓名:周又和  王记增
作者单位:兰州大学力学系,730000
基金项目:国家自然科学基金,国家教委留学回国人员基金
摘    要:采用Daubechies小波理论的尺度函数变换,建立了由压电片感应器(sensors)的观测电量识别悬臂板结构变形的一一对应显式关系,从而克服了传统模态方法因逆矩阵求解在某些情形下得不到保证而导致观测失效的不足.随后基于小波尺度函数变换,对于悬臂板建立了具有位移与速度信号反馈的压电致动控制动力模式.由于小波尺度函数逼近具有自动滤除高频分量的能力,建立的控制模式将不会出现由观测溢出与控制溢出耦会造成的不稳定性.数值结果表明:控制方法在抑制外界干扰方面要快于传统方法.

关 键 词:小波理论  尺度函数变换  压电结构  动力控制

A DYNAMIC CONTROL MODEL OF PIEZOELECTRIC CANTILEVERED BEAM-PLATE BASED ON WAVELET THEORY
Zhou Youhe, Wang Jizeng.A DYNAMIC CONTROL MODEL OF PIEZOELECTRIC CANTILEVERED BEAM-PLATE BASED ON WAVELET THEORY[J].chinese journal of theoretical and applied mechanics,1998,30(6):719-727.
Authors:Zhou Youhe  Wang Jizeng
Abstract:Based on the scaling function transform of the Daubechies wavelet theory, an oneto-one explicit relation betWeen electric signals measured in piezoelectric sensors and denectionof the plates is established in this paper, which overcomes the deficiency of conventional methodof modal analysis which sometimes leads to failure of measuring deformation of the plate whenthe inverse matrix in the method does not exist. After that, a dynamic control model for thepiezoelectric plates with feedback of negative deflection and negative velocity signals is formulatedby the approximation of the scaling function transform of the wavelet. Due to that the reconstruction function of the scaling function transform has an ability of automatical filtering highorder frequency signals of vibration or disturbance, it is found that the phenomenon of instabilitycaused from the spilling over of measurement and controller, i.e., the controller for suppressingdisturbance of low order frequences excites some oscillations of higher order, does not occur in thiscontrol model. This merit has not been found in a conventional method. The numerical simulations exhibit that the suppression of a disturbance by the method suggested in this paper is fasterthan the conventional method of modal analysis.i) The project supported by the National Natural Science Foundation of China (No.19772014) and by the Fundationof the State Education Commission of China for Oversea Returnees.
Keywords:wavelet theory  scaling function transform  piezoelectric structures  dynamic control  numerical simulations
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