Page 96 - Mechanics of Microelectromechanical Systems
P. 96

2. Microcantilevers, microhinges, microbridges                     83
         2.2.3  Solid Trapezoid Design

             The geometry of a trapezoid microcantilever is sketched in Fig. 2.12.

















                      Figure 2.12  Geometry  of  solid trapezoid microcantilever

         The variable width depends linearly on the abscissa x, namely:





         By utilizing this  equation in  the generic  compliance formulation, the
          stiffnesses of  a  solid trapezoidal  microcantilever can  be  computed by
          inverting the  compliance submatrices or  terms. The bending-related
          stiffnesses corresponding to the sensitive axis are:






















          The stiffnesses  that  describe bending  about  the other  bending axis  (the z-
          axis) are:
   91   92   93   94   95   96   97   98   99   100   101