Page 301 - Mechanics of Microelectromechanical Systems
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288                                                         Chapter 5

























          Figure 5.21 Lever-based displacement amplification with flexure hinge: (a) flexure parallel
                             to lever; (b) flexure perpendicular to lever

             As  detailed in Chapter  1,  the rotation angle (slope) and  horizontal
          displacement at  point 3  (the  tip of the flexure hinge) of the design  in  Fig.
          5.21 (a) can be found when the compliances of the  flexure are known  in  the
          form:








          The rigid lever is tangent to the deformed flexure hinge at the junction point
          3, and therefore the position of the lever’s free tip can be calculated as:








          Similarly, the  displacement at  point 2  about the  force  direction can  be
          calculated as:





          such that the displacement amplification becomes:
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