Page 348 - Mechanics of Microelectromechanical Systems
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5. Static response of MEMS                                        335
         The normal  stresses in this case are produced by the two bending moments‚
         and the maximum value occurs again at one vertex being of the form:





























             Figure 5.65 Model of a U-spring: (a) geometry and static loading; (b) cross-section





         Because the cross-section is narrow‚ the tangential stress which is caused by
         the torsion  moment  has  its  expression given  in Eq.  (5.198).The von  Mises
         theory results in:






         which‚ by using Eqs. (5.200) and (5.201)‚ gives
             For this state of stress problem‚ the Tresca criterion becomes:






         The numerical data of this problem results in

         Problems


         Problem 5. 1
             The precision-positioning  microdevice shown in  Fig.  5.66‚  utilizes
         transverse electrostatic actuation  and  a  spiral spring.  The displacement is
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