solving coupled differential system
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Hello. I am trying to solve two coupled differential equation as below:
m1x"+m2ry"=-k1(2x1-x2-x0)
m2x"+Ay"=-k2x1+Ky-f
Note: m1,m2,k1,k2,x2,x0,A,k2,K,f are known
thanks alot
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John D'Errico
on 25 Apr 2020
Edited: John D'Errico
on 25 Apr 2020
Why was it necessaryu to ask this question twice? I've closed the other one you asked.
Answers (1)
Radu Trimbitas
on 25 Apr 2020
Dear Saman,
If set x=u(1), x'=u(2), y=u(3), y'=u(4) and
M=[1,0,0,0; 0, m1,0,m2; 0,0,1,0; 0, m2,0,A], then the system becomes
[u(2); -k1*(2*x1-x2-x0); u(4);-k2*x1+K*u(3)-f];
M could be seen as a mass matrix and can be introduced using option Mass in odeset function, see the attachment.
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