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I need assistance in writing a code to solve iteratively this non-linear problem that I have broken down in the example below;
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Q1 = [ 25, 10, 15, 20; 10, 12, 18, 23; 12, 15, 17,19; 15 20, 16, 28 ];
F1 = [ 6;7;12;7];
F2 = [ 48;64;72;75];
iter = 0;
N = 100; % maximum number of iterations
uold = u0;
QA = Q1;
F1 = RF1;
F2 = RFM; % max load capacity
u0 = u1;
dF = 0.2;
[row,col] = size(u);
tol = 0.0001;
syms 'u'
R1 = F2 - F1;
u2 = inv(Q1)*R1;
u3 = u0 + u2;
F3 = F1 + dF;
R2 = F2 - F3; % unbalanced force must be equal to 0 in order to converge
Q2 = F3\u3;
u4 = inv(Q2)*R2;
u5 = u3 + u4;
F4 = F3 + dF;
R3 = F2 - F4;
Q3 = F4\u5;
u6 = inv(Q3)*R3;
u7 = u5 + u6;
F5 = F4 + dF;
R4 = F2 - F5;
Q4 = F5\u7;
u8 = inv(Q4)*R4;
u9 = u7 + u8;
F6 = F5 + dF;
R5 = F3 - F6;
4 个评论
Steven Lord
2021-11-26
Let's take a step back. You've posted a bunch of code but no explanation of the problem you're trying to solve. Start at the beginning and explain in words (no code) the problem you're trying to solve. Assume we don't know much about your field of study (because for at least some of us, that's probably a valid assumption.) Once we know that we'll have the context that may allow us to help you write / improve the code.
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