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lvseshijie

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syms m w l k G Pp Pf E Ip Ap
l=20;k=0.5306;E=210*10^9;Pp=7900;G=80.769*10^9;m=180.047;Ip=0.01981;Ap=0.02023;
a=m*w^2*l^2/(k*Ap*G);B=w^2*l^2*Pp/E;r=m*w^2*l^4/(E*Ip);h1=sqrt((a+B)/2+sqrt(r+(a-B)^2/4));h2=sqrt((a+B)/2-sqrt(r+(a-B)^2/4));c1=h2^2*cos(h1)+h1^2*cos(h2);c2=h2^2*sin(h1)/h1+h1^2*sin(h2)/h2;c3=cosh(h1)-cos(h2);c4=sinh(h1)/h1-sin(h2)/h2
A=[c1-B*c3 -c2+(a+B)*c4;-r*c4 c1-a*c3]
det(A)

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