PDE Toolkit - what is d when m is non-zero?

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Sattik Basu
Sattik Basu on 21 Jan 2022
Commented: Sattik Basu on 25 Jan 2022
To solve the following equation
we need to input values of m,d,c,a and f.
I have been able to input m,c,a,f, however, for d, there is a special rule. The following is from Matlab's own support pages.
It says "Generally, d is either proportional to results results.M, or is a linear combination of results.M and results.K". M and K are matrices obtained after the assembleFEMatrices (i.e., after discretization).
Now, to say the least, this is confusing, as I do have the values of the d matrix (2x2 symmetric matrix in my case). Any insights would be appreciated.
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Sattik Basu
Sattik Basu on 21 Jan 2022
Thank you Torsten, I think that is indeed the final option.

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Answers (1)

Ravi Kumar
Ravi Kumar on 21 Jan 2022
When m is non-zero in a structural problem, d-matrix (coefficient) could represent a damping matrix. That is the most common use case. Hence, the documentation describes how to compute d, proportional damping matrix, as a combination of global mass and stiffness matrix.
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Sattik Basu
Sattik Basu on 25 Jan 2022
Yes, I am working on validating the answers as we speak. It's always a "state-space" like approach that matlab is comfortable with.

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