Page 271 - Mechanics of Microelectromechanical Systems
P. 271

258                                                         Chapter 4
         Answer:
             The bloc  force of the two-beam thermal  actuator is up  to  80  times  larger
         than the  bloc  force  of a bent beam  actuator,  for very  small  lengths   of  the
         short leg of the  two-beam  design.

         Problem 4.5
             A transverse  (plate-type)  electrostatic  device is  used as  a  capacitive
         sensor. Design the sensor such that when the mobile plate travels between the
         limit positions           and            the  capacitance variation is  no
         less than a minimum value


         Answer:
                                  the area       Can be chosen arbitrarily;


         Problem 4.6
             Design a  longitudinal  (comb-type) electrostatic  actuator of  given
          sensitivity    that  is  expected to deliver an output force F.

          Answer:




          Problem 4.7
             A rotary  electrostatic  actuator  with a  single gap   produces  a
          maximum torque     which is  1.5 times  less than the desired effective value
              By keeping the existing gap, other conjugate pairs are added radially in
          order to meet the objective.  Find the number of total  gaps (radial  digit pairs)
          that will enable achieving the level of torque needed when



          Answer:
             n = 2

          Problem 4.8
             A microcantilever of given  dimensions                   and
              is  used as an  electrostatic actuator.  Find the  gap  between the
          microcantilever and its mating pad (assuming both have the same length) that
          will produce a tip deflection of    under application of a 80 V voltage.
          The material properties are E =  120 GPa and


          Answer:
   266   267   268   269   270   271   272   273   274   275   276