Page 355 - Mechanics of Microelectromechanical Systems
P. 355

342                                                         Chapter 5
         Answer:
                        (Eq. (4.7)),          (for a guided-fixed beam); buckling
             possible

         Problem 5.15
             A microplate supported by two carbon nanorods of circular cross-section
         is used  to  sense  external magnetic fields by means of  a  current  loop‚ as
         shown in  Fig.  5.76.  Find the  maximum torsion  angle  that  would  keep the
         stresses in the nanorods under an allowable limit  Known are the radius of
         the nanorods circular cross-section‚ r‚ their length l and the shear modulus G.














                      Figure 5.76  Magnetic  microsensor with  torsion nanorods

          Answer:




          References

          1. W.  Geiger  et  al.‚  Decoupled  microgyros and  the design  principle DAVED‚ Sensors  and
          Actuators A‚ 95‚ 2002‚ pp. 239-249.
          2. R. Sattler‚ F. Plotz‚ G. Fattinger‚ G. Wachutka‚ Modeling of an electrostatic torsional
          actuator: demonstrated with an RF MEMS switch‚ Sensors & Actuators A‚ 97-98‚ 2002‚ pp.
          337-346.
          3. A.P. Boresi‚ R.J. Schmidt‚ O.M. Sidebottom‚ Advanced Mechanics of Materials‚ Fifth
          Edition‚ John Wiley & Sons‚ Inc.‚ New York‚ 1993.
          4. S.P.  Timoshenko‚  Theory of Elastic Stability‚ McGraw-Hill  Book  Company‚ New  York‚
          1936.
          5. J.M.  Gere‚ S.P.  Timoshenko‚ Mechanics of  Materials‚ Third Edition‚ PWS-KENT
          Publishing Company‚ Boston‚ 1990.
          6. W.F. Chen‚ E.M. Lui‚ Structural Stability.  Theory and Implementation‚ Elsevier‚ New York‚
          1987.
          7. A. Chajes‚ Principles of Structural Stability Theory‚ Prentice Hall‚ Englewood Cliffs‚ 1974.
          8. R.D.  Cook‚  W.C. Young‚ Advanced  Mechanics  of  Materials‚ Macmillan Publishing
          Company‚ New York‚  1985.
          9. A.C.  Ugural‚ S.K.  Fenster‚ Advanced Strength and Applied Elasticity‚ Third Edition‚ PTR
          Prentice Hall‚ Englewood Cliffs‚  1995.
          10. 1. J.P. den Hartog‚ Advanced Strength of Materials‚ Dover Publications‚ New York‚ 1987.
   350   351   352   353   354   355   356   357   358   359   360