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Ch31-I044963.fm  Page 151  Tuesday, August 1, 2006  3:06 PM
                            Tuesday, August
                                           3:06 PM
                      Page 151
                                      1, 2006
            Ch31-I044963.fm
                                                                                          151         -  &  •
                                                                                          151
                                              [nm]
                                                                      [nm]
                      [nm]
                   Δ ΔZ Z [nm]              Δ ΔZ Z [nm]             Δ ΔZ Z [nm]
                    3.5  I                   12                      5
                    3.5
                     3                       10
                                                                     4
                    2.5                       8
                             J_
                     2                               Simulation result  3
                                                                           Simulation result
                                              6                            Simulation result
                    1.5
                            Simulation result
                          /  Simulation result   4                   2
                     1
                    0.5                       2                      1
                                                  Fit ( 1∝  b )
                     0                        0
                      0 0  200  400  600  800  1000 1200  0 0  10 10  20  30 30  40  50 50  0
                           400
                        200
                                   1000
                                       1200
                              600
                                 800
                                                            40
                                                     20
                                                                               6
                                                                                  8
                                                                            4
                        l (beam length) [μm]     b (beam width) [μm]  0  2 h (thickness) [μm] 10  12
                        / (beam length) [μm]
                                                 b (beam width) [μm]
                                                                          h (thickness) [μm]
                       Figure2:  Relationship   Figure3:  Relationship  Figure4:  Relationship
                       between  AZ and /        between  AZ and b       between  AZ and h
                  beam  is  efficient  as  compared  with  other  beam  shapes  in  order  to  form  a  long  beam  structure  in  a
                  limited  space.
                  RESONAT FREAQUENCY MEASUREMENT
                  Next, the resonant frequencies  of  Parylene  suspended  structures  are  investigated  experimentally.  Free
                  standing  Parylene  suspended  structures  are  fabricated.  The  process  flow  is  shown  in  Fig.  5.  A  SEM
                  images  of  fabricated  structures  are  shown  in  Fig.  6.  And,  a rotation tip  is  also  employed  in  order to
                  check the actual tensile stress as shown  in Fig.  7 [4], and tensile  stress is proved to be about 30 MPa.
                  Resonant  frequencies  of  the  fabricated  structures  are  measured.  The  structures  are  shaken  by  a
                  piezoelectric  actuator and the out-of-plane vibrations  of  them are observed  by  a LDV  (Laser Doppier
                  Vibrometer).  A  vacuum  chamber  is  specially  developed  in  order  to  decrease  the  influence  of  air
                  damping.  This  vacuum  pressure  is  about  0.8  Pa during  measurement. The measured  structures  are the
                  same as  shown  in Fig.  6. Changing the driving frequency  of the piezoelectric actuator, the amplitude of
                  the  center of  the plate  is  measured.  The result  of the frequency  response  is  shown  in Fig.  8. From the
                  results  of  this  figure,  it  is  found  that  the  resonant  frequency  of  normal  straight  beam  structure  is  24
                  kHz  and  that  of  spiral  shaped  beam  structure  is  12  kHz.  From  simulation  results  (omitted  from  the
                  want  of  space), the resonant frequencies  of these  structures under tensile  stress  of  30 MPa are 26 kHz
                  and  11 kHz respectively. Considering that the experimental resonant frequencies  agree with  simulated
                                      Sputter Si (2|xm)
                                     13npp
                   0)
                    Sputter sacrificial  silicon  and pattern it by  SF ( , gas
                         Anchor  Mass  Beam  Parylene(5u.m)
                   (2)  l^rtfrM
                                                       Mass:1000xl000|im  Mass:1000xl000|am
                     Deposit Parylene and pattern it by O 2  plasma  length  of  beam:  300  (am  length of beam:  1500 urn
                                                       width of beam : 100 Jim  width of beam : 100 nm
                   (3)                                a) The structure with normal  b)  The  structure  with  spiral
                                                       straight beams     shaped beams
                       Etch sacrificial  silicon by XeF 2  gas  Figure 6:  SEM image  of fabricated  structure
                   Figure  5:  Fabrication  process  flow  of
                            suspended structure

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