Page 350 - Mechanics of Microelectromechanical Systems
P. 350

5. Static response of MEMS                                       337
          Problem 5.4
             The microaccelerometer with two flexure microhinges of Fig.  5.67  uses
          double capacitance readout  (parallel  capacitance).  Find the  acceleration
          knowing that the maximum capacitance variation is             and the
          voltage generated externally is U = 0.1 V. The microaccelerometer mass is
                        Also known are
          (the capacitive area), as well as the parameters of the flexure microhinges:
                               E =  155 GPa. (Hint: The total capacitance change is
          the sum of the capacitance variations at the two gaps).











                    Figure 5.67  Microaccelerometer with double capacitance readout
          Answer:



          Problem 5.5
              A microdevice as the  one shown  in  Fig.  5.68 is  composed of  an
          electrostatic  longitudinal  actuator and two beam suspensions, all connected
          by a  central shuttle  mass. The  microactuator has  the  following  defining
          parameters:                             (the number of gaps),
                   and the parameters of one microbeam  are:
              E =  160  GPa.  Find the longitudinal  displacement of the  shuttle  mass
          when a voltage U = 80 V is applied to the electrostatic actuator unit.

















                Figure 5.68 Microdevice with electrostatic actuation and beam suspensions

          Answer:
   345   346   347   348   349   350   351   352   353   354   355