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zenglunwu

新虫 (初入文坛)

[交流] 两种方法解的结果不一样,请哪位大侠解释一下,谢谢!

第一种解法
syms A B C D E F A1 B1 C1 D1 E1 F1 H0 M2 M3 a b c
[A B C D E F A1 B1 C1 D1 E1 F1]=solve('-H0+A/a^2=B+C/a^2', 'D+E/b^2=B+C/b^2', 'D+E/c^2=F', 'A1/a^2=B1+C1/a^2', 'D1+E1/b^2=B1+C1/b^2', 'F1=D1+E1/c^2', 'H0+A/a^2=-B+C/a^2+M2-0.000019*(-B1+C1/a^2)', '-D+E/b^2+M3-0.000019*(-D1+E1/b^2)=-B+C/b^2+M2-0.000019*(-B1+C1/b^2)', '-D+E/c^2+M3-0.000019*(-D1+E1/c^2)=-F', 'A1/a^2=100*(-B1+C1/a^2)-2.75*(-B+C/a^2)', '100*(-D1+E1/b^2)-2.75*(-D+E/b^2)=100*(-B1+C1/b^2)-2.75*(-B+C/b^2)', '100*(-D1+E1/c^2)-2.75*(-D+E/c^2)=-F1', 'A, B, C, D, E, F, A1, B1, C1, D1, E1, F1')
a=0.03;
b=0.02;
c=0.01;
H0=10000;
M2=0
M3=0
eval(A)
eval(B)
eval(C)
eval(D)
eval(E)
eval(F)
eval(A1)
eval(B1)
eval(C1)
eval(D1)
eval(E1)
eval(F1)
ans = -2.064311914376605e-006
ans = -0.24385437050510
ans = -1.000000695151247e+004
ans = -2.716199541293015e+002
ans = 2.637731770953946e-007
ans = 6.036070327523462e-004
ans = -1.000000695151247e+004
ans = -2.716199541293015e+002
ans = 2.637731770953946e-007
ans = 6.036070327523462e-004
ans = -9.999998475757755e+003
ans = -2.655837992560781e+002

第二种解法
syms
M=[1/0.03^2 -1 -1/0.03^2 0 0 0 0 0 0 0 0 0;0 -1 -1/0.02^2 1 1/0.02^2 0 0 0 0 0 0 0;0 0 0 1 1/0.01^2 -1 0 0 0 0 0 0;0 0 0 0 0 0 1/0.03^2 -1 -1/0.03^2 0 0 0;0 0 0 0 0 0 0 1 1/0.02^2 -1 -1/0.02^2 0;0 0 0 0 0 0 0 0 0 1 1/0.01^2 -1;1/0.03^2 1 -1/0.03^2 0 0 0 0 -0.000019 0.000019/0.03^2 0 0 0;0 1 -1/0.02^2 -1 1/0.02^2 0 0 -0.000019 0.000019/0.02^2 0.000019 -0.000019/0.02^2 0;0 0 0 -1 1/0.01^2 1 0 0 0 0.000019 -0.000019/0.01^2 0;0 2.75 -2.75/0.03^2 0 0 0 -1/0.03^2 -100 100/0.03^2 0 0 0;0 2.75 -2.75/0.02^2 -2.75 2.75/0.02^2 0 0 -100 100/0.02^2 100 -100/0.02^2 0;0 0 0 2.75 -2.75/0.01^2 0 0 0 0 -100 100/0.01^2 1]
M1=inv(M);
T=[10000 0 0 0 0 0 -10000 0 0 0 0 0]'
ANS=M1*T
ansA=[1 0 0 0 0 0 0 0 0 0 0 0]*ANS
ansB=[0 1 0 0 0 0 0 0 0 0 0 0]*ANS
ansC=[0 0 1 0 0 0 0 0 0 0 0 0]*ANS
ansD=[0 0 0 1 0 0 0 0 0 0 0 0]*ANS
ansE=[0 0 0 0 1 0 0 0 0 0 0 0]*ANS
ansF=[0 0 0 0 0 1 0 0 0 0 0 0]*ANS
ansA1=[0 0 0 0 0 0 1 0 0 0 0 0]*ANS
ansB1=[0 0 0 0 0 0 0 1 0 0 0 0]*ANS
ansC1=[0 0 0 0 0 0 0 0 1 0 0 0]*ANS
ansD1=[0 0 0 0 0 0 0 0 0 1 0 0]*ANS
ansE1=[0 0 0 0 0 0 0 0 0 0 1 0]*ANS
ansF1=[0 0 0 0 0 0 0 0 0 0 0 1]*ANS
ansA =-2.064311333633759e-006
ansB =-1.000000258676058e+004
ansC =2.637731821910219e-007
ansD =-1.000000258676058e+004
ansE =2.637731830247537e-007
ansF =-9.999999949028745e+003
ansA1 =-0.24385431419503
ansB1 =-2.716199124050910e+002
ansC1 =6.036069695545399e-004
ansD1 =-2.716199124050910e+002
ansE1 =6.036069695545584e-004
ansF1 =-2.655838427095454e+002
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