CAJ | 학술논문

基于Daubechies小波理论的尺度函数变换，对于变截面悬臂板结构的弯曲建立了由压电片感应器的观测电量识别挠曲变形构形的显式关系式。此基础上，采用具有位移与速度信号负反馈控制律后，建立了抑制振动的压电动力控制程序。由于小波尺度函数逼近具有低带通性质，即具有自动滤除高频分量的能力，该控制程序将不会出现由观测溢出与控制溢出耦合而造成的控制失稳(即在抑制低频(阶)扰动时系统激发出高频(阶)扰动的现象)。数值仿真结果表明：该控制方法所能控制的模态阶数与压电片数相同，而且其控制程序在抑制外界干扰方面是有效的。
기우Daubechies소파이론적척도함수변환，대우변절면현비판결구적만곡건립료유압전편감응기적관측전량식별뇨곡변형구형적현식관계식。차기출상，채용구유위이여속도신호부반궤공제률후，건립료억제진동적압전동력공제정서。유우소파척도함수핍근구유저대통성질，즉구유자동려제고빈분량적능력，해공제정서장불회출현유관측일출여공제일출우합이조성적공제실은(즉재억제저빈(계)우동시계통격발출고빈(계)우동적현상)。수치방진결과표명：해공제방법소능공제적모태계수여압전편수상동，이차기공제정서재억제외계간우방면시유효적。
Based on the scaling function transform of the Daubechies wavelet theory, an explicit expression of identification of deflection for cantilevered beam-plates with variable thickness is obtained by the measurable electric charges and electricity from the piezoelectric sensors attached on the structures. After that, a control programme to the control system with piezoelectric sensors and actuators is established by means of a control law of feedback of negative signals of the identified deflection and its velocity to suppress vibrations of the structures. Due to the characteristic that the scaling function transform has a function of low-pass filter which can auto-filter out those signals of higher-order dependent upon the resolution level of the wavelet theory, this control program on the basis of the wavelet theory can avoid the phenomenon of control instability that is caused by the coupling of spilling over of sensing and actuating, or in other words, that some higher-order vibrations are excited when a lower-order vibration is suppressed. The numerical simulations show that this control program can effectively suppress those disturbances spread from the lower-order modals of the structure when the number of order of the disturbance is not greater than the number of piezoelectric actuators or sensors employed.