Loading...

Using piezoelectric materials to control the dynamic response of a thin rectangular plate under moving mass

Nikkhoo, A ; Sharif University of Technology | 2008

347 Viewed
  1. Type of Document: Article
  2. Publisher: 2008
  3. Abstract:
  4. The governing differential equation of motion for an undamped thin rectangular plate with a number of bonded piezoelectric patches on its surface, and arbitrary boundary conditions are derived using Hamilton's principle. A moving mass traveling on an arbitrary trajectory acts as an external excitation for the system. The effect of moving mass inertia is considered using all the out-of-plane translational acceleration components. The method of eigenfunction expansion is used to decouple the equation of motion into a number of coupled ordinary differential equations. A classical closed loop optimal control algorithm is employed to suppress the dynamic response of the system by determining the required voltage of each piezoactuator at any time interval. In a numerical example for a square simply supported plate under a straight line loading path, the effect of mass velocity and mass weight of the moving load on dynamic behavior of the uncontrolled system is investigated. The results indicate that the inertia effect could be very important, causing different behavior for the system. Also, the number of involved vibrational modes in determining the exact dynamic response of the system is crucial. A number of equally spaced piezo patches are used on plate's lower surface to control the displacement of the plate's center point. The implemented control mechanism proves to be very efficient in suppressing dynamic response of the system. Increasing the area of the employed piezo patches would reduce the required voltage for controlling the response of the system
  5. Keywords:
  6. Active control ; Moving load ; Moving mass ; Piezoelectric patch ; Thin plate ; Algorithms ; Boundary conditions ; Eigenvalues and eigenfunctions ; Equations of motion ; Flight control systems ; Loading ; Ordinary differential equations ; Piezoelectric devices ; Piezoelectric materials ; Plates (structural components) ; Structural design ; Dynamic response
  7. Source: 11th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC-11, Taipei, 19 November 2008 through 21 November 2008 ; January , 2008