Page 201 - Mechanics of Microelectromechanical Systems
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188                                                         Chapter 4
         Example 4.1
             A bent beam thermal actuator has a rectangular cross-section defined by
         the width w and the thickness t. Known are the following material properties
         which correspond to polysilicon: E = 130 GPa and                For a
         temperature increase  of          analyze  the  influence of the  geometry
         defining the bent beam on the free displacement.

         Solution:
             Figures 4.5  and  4.6 are two plots  showing the  variation of the output
         displacement in  terms of the  defining  geometry. For the  simulation of Fig.
         4.5 it has been considered that      and



















           Figure 4.5 Free displacement in a bent beam as a function of beam length and inclination
                                          angle






















              Figure 4.6  Free  displacement in a bent beam as a function of cross-section width

              The simulation of Fig. 4.6 took the same numerical values‚ except for w‚
          which is the variable here‚ and for       and       It can be seen that
          the free displacement decreases in a non-linear fashion when the inclination
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