Page 303 - Mechanics of Microelectromechanical Systems
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290                                                         Chapter 5
         By following  a  similar approach,  the  amplification for  the  case  where the
         axial deformations are neglected is:




         The relative error between the amplifications given  in  Eq.  (5.76) versus Eq.
         (5.75) can be expressed as:





         and Fig.  5.22 is a plot showing this error as a function of the flexure’s cross-
         sectional width.





















           Figure 5.22  Relative  errors in the amplification of the microdevice of Fig. 5.21  (b) when
          axial and bending deformation are considered versus the case when only bending deformation
                                      is accounted for

          Example 5.13
             Compare the final positions of the two  amplification  devices shown in
          Figs. 5.21  (a)  and  (b)  when the  flexure hinge has  constant square cross-
          section.  Consider  that                            and E =  160 GPa.
          Also compare the amplifications produced by the two devices.

          Solution:
             The needed compliances  are:
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