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Ch31-I044963.fm  Page 152  Tuesday, August 1, 2006  3:06 PM
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               results, the FEM simulation  taking  account  of intrinsic  tensile  stress  in this  study  is thought to have
               good validity. It is surely  confirmed  theoretically  and experimentally  that the a spiral  beam  is  effective
               for  lowering  the  resonant  frequency  of  /,.,  which  leads  to  the  sensitivity  of  accelerometer  of
                    2
               l/(2^) .
                                                      Amplitude [nm]
                                                      Amplitude [nm]
                                                         10 10
                                                                The structure with normal
                                                          9
                                                                straight beams
                                                          8
                                                          7
                   From  rotation  angle,  it  is  proved  6
                   actual tensile stress is 30 MPa        5  The structure with spiral
                Figure 7: Optical  microscope  view  image of  4 shaped beams
                       Rotation Tip
                                                          3
                                                               Theoretical     Theoretical
                                                          2
                                                               11kHz           26kHz
                                                          1
                                                              12kHz          24kHz
                                                          0
                                                                       20
                                                          10     15 15  20    25
                                                                 Freaquency[kHz]
                                                                 Freaquency[kHz]
                                                       Figure 8: Result of frequency  response
               CONCULUSION
               An  accelerometer  made  of  Parylene,  which  comprises  a  proof  mass  and  support  beam,  has  been
               developed  now. In this  study,  the  stiffness  and the resonant  frequency  of suspended  microstructures
               under tensile stress are investigated. The summary  is as follows:
               1)  It is proved by FEM simulation that the stiffness  is decreased in proportion to the first  power of the
                 beam length, while it is decreased in proportional to the third power of it under no stress  according
                 to the theory of strength of materials. Therefore, the structure with spiral beam is proposed.
               2)  Free  standing  Parylene  suspended  structures  are  fabricated  by  a  micromachining  process.  The
                 vibrations  of these  structures  are observed  by  using  a LDV and resonant  frequencies  of them are
                 obtained.  It  is found  that the resonant  frequency  of the  structure  with  spiral  beams  is  lower  than
                 that  with  straight  beams,  which  shows  the  effectiveness  of  spiral  beams  for  obtaining  high
                 sensitivity  of accelerometer.


               ACKNOWLEDGEMENT
               This  work  was mainly  supported  by  JSPS  (Japan  Society  for the Promotion  of  Science).KAKENHT
               (16310103). This work was also partially  supported by MEXT (Ministry  of Education,  Culture, Sports,
               Science  and Technology).  KAKENH1 (17656090),  "High-Tech  Research  Center"  Project  for  Private
               Universities: Matching  Fund  Subsidy  from  MEXT, 2000-2004  and 2005-2009, the Kansai  University
               Special Research Fund, 2004 and 2005.

               REFERENCE

               [1]  Tai  Y. C.  (2003).  Parylene  MEMS:  Material,  Technology  and  Application.  Proc.  20th  Sensor
               Symposium,  1-8.
               [2]  Aoyagi  S.  and  Tai  Y.  C.  (2003).  Development  of  Surface  Micromachinable  Capacitive
               Accelerometer Using Fringe Electrical Field. Proc. Transducers'03,  1383-1386.
               [3]  Harder  T. A., Yao T. J.,  He  Q.,  Shih  C.  Y. and  Tai  Y. C. (2002).  Residual  Stress  in  Thin-Film
               Parylene-C. Proc. MEMS'02, 435-438.
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