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               behavior  and  performance  of  systems  consisting  of  rigid  or  flexible  parts  undergoing  large
               displacement motions  [Ozdalyan, B. and Blundell M.V. (1998)].

               PURPOSE

               Vibration  control  of vehicle  suspensions  systems  has  been  a very  active  subject  of research,  since  it
               can  provide  a very  good  performance  for  drivers  and  passengers  [Yao, G.Z.  (2002)]. Recently,  many
               researchers  have  investigated  the  application  of  magnetorheological  (MR)  fluids  in  the  controllable
               dampers  for  semi-active  suspensions.  This  work  has  the  purpose  of  characterize,  identify  the
               mathematical  model  and  simulate  the  behavior  of  a  magnetorheological  fluid  in  car  suspension
               systems.


               METHODOLOGY

               To  reach  the  purpose  previously  pointed  out,  firstly,  the  characterization  is  made  by  means  of
               experimentation  and  by  using  a prototype  damper.  The  displacement  of  the  damper  is  measured  by
               stages  meanwhile  known  compression  forces  are  applied  under  the  influence  of  different  magnetic
               fields.  Subsequently, the constitutive  model  is developed throughout the mathematical  identification  of
               the relationships Force-Displacement,  and Equivalent Damping Coefficient-Displacement.  Polynomial
               expressions  are  derived  in  function  of  electrical  current  as  independent  variable  and  displacement,
               force  and velocity  as dependent variables. Finally, the  simulation  is carried  out in two parts. Part one;
               uses a program  in which  the constitutive  model  is used  in  order  to adjust  the damper resistance  based
               on the  necessary  current  and  according to  different  modes  of behavior  that  can  simulate  several  kinds
               of road.  And  part two; the  damper  resistance  is read  by the  module  ADAMSVTEW  of MSC  ADAMS
               software  in which  a suspension  system has  been modeled  for  describing  the  damper  displacements  at
               different  virtual road conditions.


               SYSTEM  DESCRIPTION

               The MR  fluid  used  for this analysis,  shown  in Figure  1, is mainly  a dispersion  of  iron  powder 99.9%,
               as the  soft  magnetic material, in a carrier oil, and it was developed  at ITESM, Campus Monterrey. The
               iron particles  size distribution  has a mean  value  of  15.53um  with  standard  deviation  of 2.624um.  The
               particles  are irregularly  shaped  and the mass fraction  of the solid phase is 60%. The kind  of oil used is
               commercial  engine  oil.  The  total  period  of  precipitation  exceeds  40  days,  without  movement.  The
               viscosity  of the MR  fluid  varies  from  800 cP to  150,000  cP according to magnetic  field  applied. And,
               under  the  influence  of  a magnetic  field  the  liquid  phase  separates  from  particles  after  more  than  24
               hours.  The  system  used  for  the  experiments  is composed  by the  following  components  and presented
               in Figure 2.The  damper is aprototype  made of aluminum with 0.112 m of length,  0.014 m of diameter
               and  3.6  xlO" 6  m 3  of  capacity.  The  common  oil  used  inside  the  damper  has  been  replaced  with  the
               magnetorheological  fluid, which under no current presents a similar behavior as the original  fluid.








                            (a)                                      (b)
                                                                     (b)
                            Figure  1: (a) Magnetorheological  fluid  and (b) prototype  damper.
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