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xiaowei619

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clc
clear all;
syms eigen;
E = 2.1*10^5;
u = 0.3;
d = 7.8*10^-6;
G = E/2*(1+u);
rout = 66;
rin = 54;
m = rin/rout;
A = pi*(rout^2-rin^2);
L = 26;
I = pi*(rout^4-rin^4)/4;
k = 6*(1+u)*(1+m^2)^2/((7+6*u)*(1+m^2)^2+(20+12*u)*m^2);
ssqu = E*I/(k*A*G*L^2);
rsqu = I/(A*L^2);
bsqu = d*A*L^4/(E*I)*eigen;
Q = bsqu*(ssqu+rsqu)/2;
yib = sqrt(0.25*bsqu^2*(ssqu+rsqu)^2-bsqu*(bsqu*ssqu*rsqu-1));
afa = sqrt(Q+yib);
bda = sqrt(-Q+yib);
lam = (afa-bsqu*ssqu/afa);
det = (bda+bsqu*ssqu/bda);
D11 = (afa-lam)*(cos(afa)-cosh(bda));
D12 = (lam-afa)*sin(afa)+lam*afa*(bda-det)*sinh(bda)/(bda*det);
D21 = -lam*afa*sin(afa)+(afa-lam)*det*bda*sinh(bda)/(det-bda) £»
D22 = lam*afa*(cosh(bda)-cos(afa));
solve(D11*D22-D12*D21);
δ֪±äÁ¿eigen£¬·½³ÌD11*D22-D12*D21=0;
solveÀïÃæÓÃeigenµÄʽ×Ó´ø½øÈ¥Ã²ËÆÒ²µÃ²»µ½½á¹û£¿
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[ Last edited by xiaowei619 on 2014-3-4 at 11:24 ]
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