Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

Abstract

In this paper, the problem of vibration suppression of a smart composite plate with bonded piezoelectric patches is considered. A higher order plate model is used for finite element modeling of the plate and the PID controller is used to generate control voltage command to the piezo actuators from the piezo sensors data. Derived formulation and the control algorithm is implemented in a finite element (FE) code and the FE modeling results are verified using available results of previous studies. The effect of control gain on the vibration suppression characteristics is studied. Furthermore, since FE modeling reduces the order of the real problem, the problem of un-modeled residual modes on the so-called spillover effect is investigated.

Adaptive vibration control of piezoelectric cantilever beams with uncertainties

“…Based on the thermodynamics theory, the first kind of piezoelectric equations which can better describe the electromechanical coupling characteristics of piezoelectric materials can be obtained as [7] E t…”

“…C. Qu . W. Liu 1 College of Mechanical and Electronical Engineering, Nanyang Normal University, Nanyang 473061, China E-mail: cuiminyue@sina.com material or embedding piezoelectric material is usually ignored, and a distributed moment is used to express the control effect of piezoelectric layer on the structure [4][5][6][7], which can not accurately reflect the intrinsic mechanical characteristics of the piezoelectric smart structure. The finite element model of piezoelectric structure usually has a high order, which can not be directly used in the design of controller.…”

Numerical and Experimental Investigations on Robust Output Feedback Control for Active Vibration Attenuation of Flexible Smart System

“…These vibrations tend to affect the stability as well as operational efficiency of real-time systems/machines/structures , especially at the dominant resonant frequencies [1], [2]. Hence, active vibration control (AVC) at these low frequencies is of great importance as it ensures the stability as well as the subsequent precise operational ability of real-time systems of various scales [3]- [7]. The simplest and most effective method of actively controlling the system vibrations is via direct output feedback-based proportional control with the measured parameter being strain, displacement, acceleration, velocity, etc., as studied and proved by [8]- [14].…”

Active vibration optimal control of piezoelectric cantilever beam with uncertainties

“…Model reduction is the link between the finite element model and controller design. Moreover, in the following research works , [8][9][10][11] in order to avoid the electromechanical coupling effect, some assumptions are adopted. The constitutive equation of piezoelectric body is directly decoupled by the electrical mechanical quantity, which makes the problem greatly simplified but does not conform to the actual situation.…”