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                                                 Resonant Micromechanical Systems

                                                             Resonant Micromechanical Systems  261
                              fishhook spring

                                                             anchor
                                              y
                                                    x



                              Figure 5.37 Proof mass with fishhook microsuspension.







                                         y
                                                x          anchor



                                                              bent-beam
                                                           serpentine spring
                              Figure 5.38 Proof mass with bent-beam serpentine microsuspension.


                              Fig. 5.38—is symmetric and therefore is insensitive to the planar mo-
                              tion direction.
                                A mechanical resonator  which  utilizes  specific springs enabling
                              planar rotary motion is shown in Fig. 5.39, where both actuation and
                              sensing are performed electrostatically by means of curved comb-type
                              units. The spring microsuspension is a spiral which connects the mobile
                              outer hub to a inner anchor for instance. Other solutions for rotary
                              motion include straight or curved flexure hinges connecting the hub and
                              the central anchor.

                              5.4 Transduction in Microresonators

                              In addition to the compliant structure, operation of microresonators is
                              realized by means of actuation and/or sensing methods, which are to-
                              gether referred to as transduction. In actuation,  a  driving  force  or
                              moment is applied such that the resonator is set into the desired vibra-
                              tional  state. Sensing  is also needed, either stand-alone (as  in pure
                              sensors) or as the tool enabling evaluation of a resonator’s state. Several
                              means of transduction are available in MEMS/NEMS such as thermal,
                              electrostatic, magnetic, electromagnetic, piezoelectric, piezomagnetic,
                              optical, based on induced strain (bimorphs  and multimorphs),  with




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