[mems-modsim] Re: MEMS-modsim Digest, Vol 12, Issue 3

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2006/6/9, mems-modsim-request at memsnet.org <mems-modsim-request at memsnet.org>:
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> Today's Topics:
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>   1. Gyro Simulation (Rana Iqtidar Shakoor)
>   2. Re: Gyro Simulation (Evgenii Rudnyi)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Wed, 7 Jun 2006 21:05:43 -0700 (PDT)
> From: Rana Iqtidar Shakoor <ranajee_74 at yahoo.com>
> Subject: [mems-modsim] Gyro Simulation
> To: mems-modsim at memsnet.org
> Message-ID: <20060608040543.10858.qmail at web50604.mail.yahoo.com>
> Content-Type: text/plain; charset=iso-8859-1
>
> Dear All,
> Hi,
> Basically i am a Mechanical Engineer and working on
> Capacitative Microgyro. i need to draw its equvalent
> circut diagram. Is there any paper who can help me out
> in this regards. i am confused that how we draw an
> equivalent circut diagram for a device which have
> multiple degree of freedom.
> For SDOF i am using C Tilmans paper " Equivalent
> circut representation of Electromechanical transducers
> I; Lumped-parameter sytem".
> what would be the startegy for Mulitple DOF? if we
> will have to draw the equivalent circut for each DOF
> seperatly then will we integrate all those diagrams
> into one single diagram to see the collective effect
> or not? if yes then how we will integrate these
> diagrams and if not then what we will do?
>
> Regards,
>
> Iqtidar,
> PhD fellow,
> Pakistan Institute of Engineering & Applied Sciences,
> Islamabad,
> Pakistan
>
>
>
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> ------------------------------
>
> Message: 2
> Date: Thu, 8 Jun 2006 08:42:19 +0200
> From: Evgenii Rudnyi <rudnyi at imtek.uni-freiburg.de>
> Subject: Re: [mems-modsim] Gyro Simulation
> To: mems-modsim at memsnet.org
> Message-ID: <346441d54236cefa2e3850b183fd53b6 at imtek.uni-freiburg.de>
> Content-Type: text/plain; charset=US-ASCII; delsp=yes; format=flowed
>
> > Basically i am a Mechanical Engineer and working on
> > Capacitative Microgyro. i need to draw its equvalent
> > circut diagram. Is there any paper who can help me out
> > in this regards. i am confused that how we draw an
> > equivalent circut diagram for a device which have
> > multiple degree of freedom.
>
> Start with some discretization methods, for example, the finite element
> method. After it, you have a system of ordinary differential equations
> (ODEs. By comparing this system with ODEs for a circuit, you can see
> that mathematically they are similar. This way you can obtain an
> equivalent circuit model.
>
> Some problem is the dimension of a finite element model. It can be
> quite high. Solution - use model reduction:
>
> http://www.imtek.uni-freiburg.de/simulation/mor4ansys/
>
> For an example on how it is working for a microgyroscope, look at
>
> http://www.imtek.uni-freiburg.de/simulation/mor4ansys/pdf/
> lienemann04MSM.pdf
>
> Well, I should say that how to deal with capacitive effects is an open
> question as this make the problem nonlinear. The example above is for
> pure structural problem. Some approach is the linearization around an
> operation point, see an example for an RF resonator:
>
> http://www.imtek.uni-freiburg.de/simulation/mor4ansys/pdf/
> deltin06eurosime.pdf
> http://www.imtek.uni-freiburg.de/simulation/mor4ansys/pdf/
> deltin06scee.pdf
>
> Best wishes,
>
> Evgenii
>
> P.S. We have a list for model reduction benchmarks
>
> http://elmo.imtek.uni-freiburg.de/mailman/listinfo/benchmark
>
> and there is a mor4ansys list as well
>
> http://groups.google.com/group/mor4ansys/
>
> You are welcome to subscribe.
>
>
>
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> End of MEMS-modsim Digest, Vol 12, Issue 3
> ******************************************
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