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Ch29-I044963.fm  Page 141  Tuesday, August 1, 2006  3:05 PM
                      Page 141
                                      1, 2006
                                           3:05 PM
                            Tuesday, August
            Ch29-I044963.fm
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                  FEM (FINITE ELEMENT METHOD) ANALYSIS
                  In  order to determine  the position  of piezoresistor,  FEM analysis  is carried  out.  When the  force  of  10
                  gf is applied to the pillar tip of the sensing element, the results of distortion of a diaphragm  is shown in
                  Fig. 4. Figure 4 (a) shows the distribution  of strain in the horizontal  direction, when the force  of  lOgf
                  is  applied  in  the  vertical  direction.  Figure  4  (b)  shows  the  distribution  of  strain  in  the  horizontal
                  direction,  when  the  force  of  10 gf  is  applied  in the  horizontal  direction.  It  is proved  that the  strain  is
                  maximal  at the  edge of the diaphragm.  Therefore,  the four  piezoresistors  are designed to  be  located as
                  close as possible to the edge of the diaphragm.

                                                  ANSYS                               ANSYS
                                                         STEP=1

                                                        fcBsSM
                    SHX  =.40DE-03                                                 I
                            I  Pressure  is applied
                              in vertical  direction              Pressure is applied in
                           c                   )              K   horizontal direction  )
                                            Co mpressive
                    Compressil-e    ®       r              Tensile               Compressive
                       stress                  stress       stress                  stress
                              Strain of horizontal                 Strain of horizontal
                    Back  side  direction  is shown      Back side  direction is shown
                            i
                                                                                   — - •
                                (a)                                     (b)
                                   Figure 4: FEM result  of distortion of a diaphragm.

                  FABRICATION  PROCESS

                  The  micro-machining  fabrication  process  of  a tactile  sensing  element  is  shown  in  Fig.  5.  The
                  microstructure  detecting  a  force  is  practically  fabricated  as  follows:  a  SOI  wafer  is  prepared,
                  which  consists  of  a  silicon  layer  (called  as  active  layer)  of  100  urn,  a  silicon  dioxide  layer  of
                  lum  (called  as box  layer), and a silicon  layer of 500  u.m (called  as support  layer) (see Fig. 5®).
                  A  diaphragm  is  fabricated  by  anisotropic  wet  etching  of  the  active  layer  using  KOH  solution
                  (see  Fig.  5©).  Piezoresistors  are  produced  by  implanting  p-type  boron  ions  into  the  n-type
                  silicon of the diaphragm  using an ion implantation apparatus (see Fig. 5®). A pillar is  fabricated
                  by  dry  etching the  support  layer  using  a deep ICP-RIE  apparatus  (see Fig. 5©).  ICP-RIE  was
                  performed  by  Bosch  process  and  their  condition  are  shown  in  Table  1  [9J.  Aluminum  is
                  evaporated  and  patterned  for  electrodes,  which  connect  the  piezoresistors  to the  bonding  pads.
                  The wafer  is diced  to  square  chips,  and  each  chip  is  set  on  a print  board.  The bonding pads  of
                  the  chip  are  connected  to  the  print  board  pads  by  aluminum  wires  using  a  wire  bonding
                  apparatus.


                  THE DESIGN OF EVALUATION CIRCUIT

                  The  direction  of applied  forces  and  the position  of piezoresistors  are  shown  in  Fig.  6.  When  force  is
                  applied  to  the  pillar  in  the x  direction,  the  distortion  appears  as  shown  in  the  upper  right  of  Fig.  6.
                  When  force  is applied  to the  pillar  in the z  direction, the  distortion  will  appear  as  shown  in the  lower
                  right of Fig. 6. This distortion  can be detected  by four piezoresistors arranged  as shown  in Fig. 6 [8].
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