Page 287 - Mechanical design of microresonators _ modeling and applications
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                                                 Resonant Micromechanical Systems

                              286   Chapter Five
                                           flexure hinge



                              resonant beam
                                                          seismic mass



                                    anchor


                              Figure 5.61 Resonant beam microaccelerometer with side supporting flexure hinges.

                                Another solution for sensing an  external acceleration  through
                              bending-generated modification of the relevant resonant frequency is
                              sketched in Fig. 5.61 and was utilized by Burrer, Esteve, and Lora-
                                     28
                                                         29
                              Tamayo  and Roszhart et al.,  for instance. The beam microresonator
                              is located in  the  center and  is flanked by two side flexure hinges
                              supporting the seismic mass, which will move under the action of an
                              external acceleration. This action will produce bending of the central
                              beam, which will alter its resonant frequency.
                                          30
                                Tudor et al.  propose utilizing a double-ended tuning fork instead of
                              the simple beam resonator in Fig. 5.61. The particular solution with a
                              double-ended tuning fork presents the advantage that the externally
                              applied acceleration can be monitored by means of Coriolis effects (as
                              shown in the previous section of this chapter) in addition to the normal
                              change in the resonator’s resonant frequency.
                                           31
                                Huang et al.  proposed utilizing one single supporting flexure hinge
                              and two side beam resonators, as sketched in Fig. 5.62. This specific
                              design could be tailored to sense external acceleration which is applied
                              either in plane (case where the seismic mass will move laterally) or out
                              of the plane.
                                                                          32
                                A similar design  was mentioned by Esashi   and is sketched in
                              Fig. 5.63. The seismic mass this time is supported by two side torsion
                              hinges, whereas the beam resonator remains in a central position. Its
                              clamping point to the seismic mass goes up or down out of the plane of
                              the structure, and therefore the beam resonator bends upward or
                              downward, which modifies the resonant frequency.
                                            33
                                Burns et  al.   microfabricated and  tested a resonant microbeam
                              accelerometer  for sensing out-of-the-plane  acceleration. Figure 5.64
                              sketches  the  top  view  of the accelerometer which comprises four
                              resonant beams and has a seismic mass supported by flexure pairs at
                              its corners.





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