Page 270 - Mechanics of Microelectromechanical Systems
P. 270

4. Microtransduction: actuation and sensing                       257
             Other  transduction implementations, especially  in  microfluidics,  utilize
         various basic  principles  such as dielectrophoresis, surface-tension,  liquid-
         vapor phase change or microbubbles.

         Problems

         Problem 4.1
              A bent beam thermal actuator needs to be able to deliver its mechanical
          output around an operation point that lies within a domain bounded by
               and               Determine the inclination angle satisfying this
          condition. Known are also the length l, the cross-sectional area A and the
          moment of inertia

          Answer:






          Problem 4.2
             Determine the optimal  value of the  inclination angle  of a bent beam
          thermal sensor that will  maximize the free displacement for a temperature
          increase         Known are the coefficient of thermal expansion
                   the length           and the cross-sectional  dimensions


          Answer:



          Problem 4.3
             A two-beam  polysilicon  thermal sensor is  defined by the  following
          geometric parameters:                           Design the rectangular
          cross-section of this sensor (w and t) which will produce a tip rotation
              under a temperature increase  of         The coefficient of thermal
          expansion is

          Answer:
                         t can be chosen arbitrarily

          Problem 4.4
              A geometric envelope of               is available for the design of a
          thermal actuator  of maximum  bloc force.  In  case the cross-section  of the
          flexible  beams is specified              decide whether a bent  beam
          actuator or a two-beam design constitutes the best solution. (Hint:  Study the
          bloc force ratio).
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