The large telescopic applications in astronomy require shape control of their mirrors in order to compensate for atmospheric turbulence. Conventional practice in realizing mirror shape change has been through the use of discrete stacks of actuators below the reflecting surface. But, the use of piezoceramic actuators for shape control is attempted. While the concept of a deformable mirror using x-y array actuation is simple, it poses a very challenging problem to analyze theoretically. The focus of this work is to develop a methodology to analyze a x-y array based actuation. The closed form solution developed as a part of this research for a representative array actuator is compared with the computed numerical solution. Various mesh densities, analysis with the voltage as a distributed voltage on the top, and fixed nodal voltage at the top surface are carried out. The distributed voltage model is used for two different electrode configuration studies.
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