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MathGroup Archive 2005

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Re: How to assembly a stiffness matrix ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg60086] Re: How to assembly a stiffness matrix ?
  • From: Francesco <emailnonvalida at email.it>
  • Date: Thu, 1 Sep 2005 06:43:18 -0400 (EDT)
  • References: <df3ito$mmo$1@smc.vnet.net> <df65u3$8hh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Thanks a lot, i'm reading just now documentation and it seems a very 
rich package !

Regards,

Francesco

Oliver Ruebenkoenig ha scritto:
> Ciao Francesco,
> 
> we have a lot of open source tools to do that in mathematica.
> You can download the software from:
> http://www.imtek.de/simulation/mathematica/IMSweb/index.html
> 
> If you have questions you might want to join the mailing list under:
> http://elmo.imtek.uni-freiburg.de/mailman/listinfo/ims
> 
> To you question:
> I have a data structure imsMakeElementMatrix and imsAssemble. You fill all
> the element matrices with imsMakeElementMatrix and put them into the 
> imsAssemble command and done you are. The online documentation can be seen 
> here:
> http://www.imtek.de/simulation/mathematica/IMSweb/imsTOC/Numerics%20and%20Algor$
> 
> If you are into finite elements you might enjoy some of our application
> examples at:
> http://www.imtek.de/simulation/mathematica/IMSweb/imsTOC/Application%20Examples$
> 
> For transient problems I can  recommend model order reduction. Assume you
> have a high dimensional system of equations (say 30000 DOFs) you may be
> able to find an approximate system of ( say 20 DOFs !!! ) that has very  
> much the same behaviour and then time integrate that ( which is of course
> _very_ fast ) in the last step you do a re-projection to the original
> system. For online documentation have a look at:   
> http://www.imtek.de/simulation/mathematica/IMSweb/imsTOC/Application%20Examples$
> 
> Please note: The online documentation is slightly dated - some 4 weeks or
> so and not all documentation has all the nice pictures inside...
> 
> We also have some tools to input for example ANSYS generated stuff (mesh,
> element files and so on ) into mathematica.
> 
> Nice export to povray and VTK script are possible.
> 
> Does this help?
> 
> Oliver
> 
> 
> On Wed, 31 Aug 2005, Francesco wrote:
> 
> 
>>I have a structure ( i.e. a crane ). I split the structure in a certain 
>>number of simple elements ( shaft or beam ).
>>For each element i can build a local stiffness matrix of 12x12 element.
>>Then i need to assembly this little matrixes in the big structure 
>>matrix. Dimension of the structure matrix is equale to: ( number of 
>>nodes x 6 ). nodes are cross point between elements.
>>
>>Each element matrix has a specifical location in the big matrix.
>>
>>How i can assembly the big structure matrix, starting by the single 
>>element matrix ?
>>What i want to input is only the dimension of the structure matrix and 
>>the data of each single element matrix. The big structure matrix should 
>>be calculated by Mathematica.
>>
>>Thanks in adavance for help and sorry for my very bad english
>>
>>Regards,
>>
>>Francesco
>>
>>
> 
> 
> 
> Oliver Ruebenkoenig, <ruebenko at imtek.de>
>    Phone: ++49 +761 203 7385
> 


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