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\[Alpha] = Sqrt[rn*(rn + Sqrt[fx/d])]; \[Beta] = Sqrt[rn*(Sqrt[fx/d] - rn)]; md1 = {{\[Beta]^2 + u*rn^2, 0}, {0, \[Alpha]^3 + (u - 2)*rn^2*\[Alpha]}}; md3 = {{\[Beta]^2 + u*rn^2, 0}, {0, \[Alpha]^3 + (u - 2)*rn^2*\[Alpha]}}; ma1 = {{\[Alpha]^2 - u*rn^2, 0}, {0, \[Beta]^3 - \[Beta]*(u - 2)*rn^2}}; ma3 = {{\[Alpha]^2 - u*rn^2, 0}, {0, \[Beta]^3 - \[Beta]*(u - 2)*rn^2}}; md = ArrayFlatten[{{md1, 0}, {0, md3}}]; ma = ArrayFlatten[{{ma1, 0}, {0, ma3}}]; mdni = Inverse[md]; ms = mdni.ma; mp = {{0, -Coth[\[Alpha]*b], 0, 1/Sinh[\[Alpha]*b]}, {-Cot[\[Beta]*b], 0, -1/Sin[\[Beta]*b], 0}, {0, 1/Sinh[\[Alpha]*b], 0, -Coth[\[Alpha]*b]}, {-1/Sin[\[Beta]*b], 0, -Cot[\[Beta]*b], 0}}; mr = ms.mp; mf = IdentityMatrix[4] - mr; df = FullSimplify[Det[mf]]; Solve[df == 0, fx] ¹ý³Ì¶¼Ã»ÓÐÎÊÌ⣬×îºóÏ£ÍûÊÇÒ»¸öfx=¡£¡£¡£µÄ±í´ïʽ£¬ÆäÖÐnÊÇÕýÕûÊý£¬b,d,rn,u¶¼ÊÇʵÊý ÓÃsolveÒ»Ö±½â²»³öÀ´£¬ÊDz»ÊÇÒòΪdf==0¿ÉÄܸö³¬Ô½·½³Ì£¬Åöµ½ÕâÖÖÔõô°ì |
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