Integrating a matrix with symbolic values

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Lars Smit
Lars Smit am 24 Okt. 2018
For a finite element method I have to perform a double integration to find the stiffness matrix. First using a function 'matrices' I set up the matrix 'stiffness'. This is an 8x8 matrix with the ymbolic values of 's' and 't' in it. I would then like to integrate w.r.t to both variables over a region of -1 to 1.
D = E*[1,v,0;
v,1,0;
0,0,0.5*(1-v)];
x6 = [0 1 2 0];
y6 = [0 0 2 1];
syms s
syms t
[J,A,M,B] = matrices(s,t,x6,y6);
stiffness = te*transpose(B)*D*B*det(J);
stuff = @(s,t) stiffness
K = integral2(stuff,-1,1,-1,1)
This gives me the following error: Input function must return 'double' or 'single' values. Found 'sym'.
How can I integrate this matrix with symbolic values?

Antworten (1)

Areej Varamban Kallan
Areej Varamban Kallan am 31 Okt. 2018
Hi Lars,
Please see the answer in this link to understand the method of performing double integration on symbolic arrays.

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