Integrating a matrix with symbolic values

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Lars Smit
Lars Smit 2018년 10월 24일
답변: Areej Varamban Kallan 2018년 10월 31일
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?

답변 (1개)

Areej Varamban Kallan
Areej Varamban Kallan 2018년 10월 31일
Hi Lars,
Please see the answer in this link to understand the method of performing double integration on symbolic arrays.

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