Apply g-load for Topology

Altair Forum User
Altair Forum User
Altair Employee
edited October 2020 in Community Q&A

Dear all,

I'm new to inspire and currently checking the trial to make sure is fulfils our requirements.

I want to apply a 15g g-load to a cabinet that is attached to the ground. The g-load appears perfectly in the Analysis and the displacements make sense.

Unfortunately the topology optimization doesn't recognize the g-loads and breaks showing 'insufficient loads'. Is that a software bug or do I do sth wrong?

Anyone that has a similar example to show me?

Thanks a lot!

Stephan

 

Design and Non-Design space --- G force = 15g upwards on all parts

<?xml version="1.0" encoding="UTF-8"?>model.PNG

Factor of Safety in Analysis works fine

<?xml version="1.0" encoding="UTF-8"?>analyze.PNG

Loads insufficient for TopoOpt --- Error

<?xml version="1.0" encoding="UTF-8"?>TopoOpt error.PNG

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Answers

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited February 2016

    Hi Stephan,

    thanks for your detailed question. There are two things which are influencing your result, you may could do better:

    • You are asking Inspire to create a high efficient design (optimization) for a load which depends on the Volume itself. Just imagine what design you would create If anyone asks you to minimize Mass or maximime stiffness of a designspace which is direcly influenced by gravity itself. The best design would be to have no Mass at all!
      • In ur case you should add more areas of nondesign space around the desingspace, which can't be removed by the optimzation.
    • If you want to minimize mass by setting a factor of safety (fos), it could be possible that there is no solution for your aim.
      • The fos you want to achieve could be too high -> you won't get a result from optimization
      • The fos you want to achieve could be too low -> you have to reduce the minimum thickness constraint, so inspire can create smaller structures which fullfill the objective

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