I am solving finite element model updating problem. In order to achieve that i am studying inverse Eigen sensitivity method as a updating method. There, i am unable to understand how to calculate sensitivity matrix. Can anyone help me with small numerical example to calculate sensitivity matrix.
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Hi,
First you need to have parameters p that eigen values f depend continously on (aka Young modulus, poisson ratio...). The simplest way to get first order sensitivity matrix s is apply numerical differentiation, such df/dp=s. For this you can use commercial software. Nevertheless, you can also get semi-analytical sensitivity matrix by differentiation of generalized eigen value problem premultiplied by eigenvector. For doing this you need to have an access to finite element stiffness and mass matrices.
Hope it helps a bit.
Petr Henyš Chitaranjan Pany Nils Wagner please find the following attachment to get our exact problem
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