Actuator/sensor modeling for vibration of FGM solid circular plate using Reissner-Mindlin plate theory

作者：Mehrabadi S Jafari^*; Kargarnovin M H; Najafizadeh M M

来源：Zeitschrift fur Angewandte Mathematik und Mechanik, 2010, 90(4): 287-308.

DOI：10.1002/zamm.200900319

• Functionally graded material
• actuator/sensor modeling
• neutral plane
• RMPT
• CPT

In this paper, the vibration of a constant thickness circular plate made of functionally graded material (FGM) is controlled by implementing two piezoelectric layers as a sensor and an actuator. Assuming that the material properties of FGM plate vary only in the thickness direction according to the power law manner, the governing differential equations are derived based on the Reissner-Mindlin plate theory (RMPT). Moreover, in a parallel work another set of differential equations are also derived using classical plate theory (CPT). Then for two different kinds of plate boundary conditions these coupled differential equations are solved using separation of variable technique and obtained results out of two different theories are compared. Moreover, the effect of exact position of neutral plane, the effects of the power index, feedback gain, aspect ratio of radius-to-thickness, thickness of the sensor and actuator layers on the principle natural frequency of the compound plate are studied. Finally, the effects of power index and feedback gain on the higher vibrational modes of the system are investigated.

• 出版日期2010-4