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Chapter 2


         MICROCANTILEVERS, MICROHINGES,
         MICROBRIDGES














         1.     INTRODUCTION


             This chapter  studies the microcantilevers, the microhinges and  the
         microbridges,  which are MEMS  components  that can operate  either
         individually – with no other accompanying structural component – or can be
         incorporated into  more complex configurations. Essentially, all  three
         components are  designed to  deform either  in bending or torsion about  a
         sensitive axis, but in  actuality  they are  also subject  to other  deformations
         (called parasitic because they alter the intended functionality) such as those
         produced  by  axial forces, shearing  forces or  bending  moments about
         directions  other than  the  main sensitive axis.  These  microcomponents are
         one-dimensional members  with  either fixed-free boundary conditions  (such
         as the microcantilevers and microhinges) or fixed-fixed boundary conditions
         (such as the  microbridges).  In other  words, the very  same  geometrical
         configuration can  function in  either one  of the  three  categories  mentioned
         here, subject to  different  boundary conditions  and  overall structure  of  a
          specific mechanism.  They can  operate as  sensors  (the  microcantilevers
         particularly), actuators  (both the microcantilevers and  microbridges) or  as
          simple flexible joints in compliant microdevices (such as the case is with the
          microhinges).
             The three categories are defined here in terms of their relevant stiffnesses
          and/or compliances  according to  the  generic procedure  outlined in the
          previous  chapter. Designs from each  category are  specifically  analyzed and
          discussed based on concrete and  fully-solved  examples. A  section  with
          problems to  be solved  completes  this  chapter.  Although the  prefix micro
          might seem redundant (and sometimes  the structural  dimensions can reduce
          to the  nanometer level,  case  where nano  would work better),  the micro
          denomination  will be  kept  here as  in  microcantilevers, microhinges  and
          microbridges, which is also the terminology used in the specialty literature.
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