Linear buckling analysis with linearly variable axial loading

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

Greetings,

 

I would like to calculate the critical buckling load Fkrit of a linear buckling analysis with the following linearly varying axial distributed load.

The starting load is Fo= 0,1 N which increased ends fixed in a wall after a range of 1000 Elements at F1=100 N.

 

 

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The geometric profile is a thin-walled cross-section with a length of 1000mm.

 

Hypermesh says the result of the lowest eigenvalue takes lambdacr = 7.288 e-03

 

The critical buckling load PCr is defined as:

 

PCr = lambdacr * Pref

 

For a static case corresponds the force magnitude of one Force the Pref value. (As shown in the tutorial linear buckling analysis)

 

I have two questions:

 

1. What would be the best way to implement the linearly variable axial load as equation? I mean distribute the force circumference or use rigids?

 

2. How can i determine the value of the Pref for a linearly varying axial distributed load?

 

The analytical solution for PCr is something about 185 N.

 

 

Thanks in advance

Answers

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited August 2015

    Greetings,

     

    Use force >>equation

     

    Total no. of nodes  : 1001

      use the equation: 0.1* x

    start from 2 nd node

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited August 2015

    Hi,

     

    The above post from Mohan will help you apply linearly varying load on the structure and the rest of the procedure should be the same.