Hello all,

I would like to know if I can use one name space (step-x) in another name 
space (step-y). So that I can couple the 2 or more steps. 

Thank you.

On Wednesday, June 26, 2019 at 11:30:21 AM UTC+2, Ramprasad R wrote:
>
> Hi Daniel,
>
> Thank you so much for your detailed Explanation. As you said earlier, I 
> have to do the eigen value analysis.  You explanation has given me an 
> approach to start with. I can not thank you enough.
>
> Warm regards
>
> Ramprasad
>
> On Tue, Jun 25, 2019 at 6:27 PM Daniel Garcia-Sanchez <
> danielgarsanc...@gmail.com> wrote:
>
>>
>>
>> On Monday, June 24, 2019 at 11:36:32 PM UTC+2, Ramprasad R wrote:
>>>
>>> Hello Bangerth,
>>>
>>> The terms N_* are the resultant forces in the * direction and these 
>>> forces are calculated using the strains which in turn are calculated using 
>>> the displacements u. So the terms N_* are not constants, rather change with 
>>> each element. And these values directly depend on u.
>>>
>>>
>>>>
>> Hi Ramprasad,
>>
>> I think that you want to do an eigenvalue calculation (step-36)
>>
>> I think that first you have to do an static calculation before your 
>> eigenvalue calculation in order to obtain the values for N_* (step-8)
>>
>> As discussed in your paper, the typical eigenvalue problem for the 
>> elastic equation takes this form, where omega^2 is your eigenvalue and Phi 
>> the eigenvector
>> (K - omega^2 M)*Phi = 0
>>
>> For the buckling case lambda is your eigenvalue.
>> (K - lambda G)*Phi = 0
>>
>> The calculation of K can be found in step-8, step-62 (or other tutorials).
>>
>> I think that in order to calculate G you need the resulting strain of an 
>> static calculation. You can do the static calculation, store the strain in 
>> a temporary buffer and use that data to calculate G. step-18 shows you how 
>> to do this.
>>
>> Once you have K and G, you can do an eigenvalue calculation. step-36 
>> shows you how to do an eigenvalue calculation. Note that in step36 the 
>> stiffness matrix is called A.
>>
>> The equation in step36 is 
>> (D-epsilon M)*Phi=0
>> which is very similar to the buckling equation. 
>>
>> Best,
>> Daniel 
>>
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