Research On Active Vibration Control Of Thin-Walled Structure Using Piezoelectric Material

Thin-walled structure is popular in car design. It tends to vibrate, and has influence on the in-house comfort. Except traditional vibration control method that either using structure optimization or by attaching damping material to the surface of the base structure, piezoelectric active control has been another choice. Piezoelectric material is very unique, its direct piezoelectric effect ensures the use as vibration sensors, and the inverse piezoelectric effect ensures the use as vibration suppression actuators. When dealing with thin-walled structures like ceiling and doors of automobiles, piezoelectric material was often being made into patches and bonded onto these structures to form the piezoelectric laminates structure. This paper modeling and simulating the piezoelectric laminates structure under active control by matlab programing, corresponding experiments were carried out to testify the reliability of the simulation. And a multi-mode vibration suppression of a four edges clamped rectangular thin plate using piezoelectric active control with its PID parameters tuned by a genetic algorithm was investigated. The content of this paper is as follows:Firstly, according to the piezoelectric laminates structure's physical property, along with the finite element method(FEM) and Hamilton principle, kinetic differential equation of the piezoelectric laminates structure was established. Then the simulation program was carried out using Matlab. In an example of a cantilever beam, model analysis was carried out both computationally and experimentally, it shows that the results in accordance with each other.Secondly, equivalent kinetic differential equation when using PID control was established and being converted into state-space representation in which Matlab could solve more easily. Then a step response of the cantilever beam under P/I/D control was compared. The piezoelectric patches was distributed based on the element strain energy principle and the control voltage was limited within ±10V. As P control has the best effect, corresponding experiment using P control was carried out. Result appears to validate the reliability of the simulation.Lastly, multi-mode vibration suppression of a four edges clamped thin plate using piezoelectric active control was studied. The first two modal were targeted and the piezoelectric patches were distributed and divided into 4 groups, each group adopted independent PID control parameters. Genetic algorithm was programed to tune these all 12 parameters. Finally, comparison and discussion was carried out between the controlled and uncontrolled response.