Page 109 - Mechanics of Microelectromechanical Systems
P. 109

96                                                          Chapter 2
             By  applying a procedure  similar to  the one used to find the  out-of-the-
         plane compliances for half the triangular microcantilever,  the  displacements
         at the mid-point 3 in Fig. 2.20 (b) can be expressed as:










         The compliances of Eq.  (2.106)  are:

































          Example 2.10
             A rectangular  microcantilever and  a triangular  one,  both hollow, provide
          identical tip experimental data for   and   Assuming the two designs have
          identical  geometries and material properties, determine the force   which is
          sensed by  each configuration. Consider the  following numerical  values:
                                                           E= 130 GPa, G = 0.8
          E.

          Solution:
              The force detected by a hollow rectangular microcantilever is calculated
          by means of Eqs.  (2.91) and (2.92) which enable solving  for the unknowns
             and     The  tip  force  is
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