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                                                 Resonant Micromechanical Systems

                                                             Resonant Micromechanical Systems  243









                                        6                                         10
                              ω  II , te  /ω  II , b e  4 2
                                         0
                                        0.5
                                                                                c w


                                                   c l
                                                                      2
                                                                    5
                              Figure 5.16 Torsion-to-bending resonant frequency ratio according to model II predictions
                              (paddle microbridge).










                                         20
                                                                                    5
                              ω III  / ω  III  10
                                , te
                                     , b e
                                           0
                                          0.5
                                                                                 c w


                                                    c l
                                                                         2
                                                                       5
                              Figure 5.17 Torsion-to-bending  resonant  frequency according to model III  predictions
                              (paddle microbridge).

                                Model  I and Model III  can also be compared by studying their
                              resonant responses in bending and torsion in a manner similar to that
                              used to compare the predictions by the first two models  for paddle
                              microcantilevers. Figure 5.18 is the three-dimensional plot of  the
                              bending resonant frequency ratio, whereas Fig. 5.19 is the plot of the
                              torsional resonant frequency.






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