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初级会员
注册日期: 2009-08-04
年龄: 39
帖子: 1
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有MATLAB高手吗,下面是我的一程序,不过那个迭代循环有问题,请高手们指点下啊,
程序片段: Fi=[x1-F1*x1*(x1^2+x2^2)^((q-1)/2)+F2*x2*(x1^2+x2^2)^((p-1)/2);-x2 +F1*x2*(x1^2+x2^2)^((q-1)/2)+F2*x1*(x1^2+x2^2)^((p-1)/2)]-C; Fxi=[diff(Fi,x1,1) diff(Fi,x2,1)]; x1=0; x2=0; % 迭代公式: for k=1:4 Fi F=subs(Fi); Fx=subs(Fxi); Fxx=inv(Fx); X=subs(X)-Fxx*F x1=X(1); x2=X(2); end 请会的高手赐教,谢了! 程序全部如下: clear all % 基本参数 miu=0.4; m=1500.0; K=2.79e5; C=4.10e3; p=1; q=1; roub=7800; wide=0.2; high=0.01; L=3; Eb=2.1e11; Ab=wide*high; mb=roub*Ab*L; Ib=wide*high^3/12; xc=miu*L; x0=(1/K)^(1/q); omiga0=sqrt(K*x0^(q-1)/m); % ω0 ksi=C*x0^(p-1)*omiga0^(p-2)/(2*m); % ξ % xcx=xc/x0; % roubx=x0*roub/m; i=0; for f=10; i=i+1; omiga=2*pi*f; % kf=sqrt(omiga*sqrt(roum*Am/(Emx*Im))); syms x n=1:1:2; lambdan=pi*(n+0.5)/L; betan=(cos(lambdan*L)-cosh(lambdan*L))./(sin(lambdan*L)-sinh(lambdan*L)); Wn=cosh(lambdan*x)-cos(lambdan*x)+betan.*(sin(lambdan*x)-sinh(lambdan*x)); %获得一个数组最大值取为8 Wn2=diff(Wn,x,2); Kn=int(Eb*Ib*Wn2.^2,0,L); Mn=int(roub*Wn.^2,0,L); Kn=subs(Kn,xc,'x'); Mn=subs(Mn,xc,'x'); Wn=subs(Wn,xc,'x'); omigan=sqrt(Kn./Mn); Omiga=omiga/omiga0; % Ω Omiga Omigan=omigan./omiga0; gamman=m./Mn; % γ gamma % 求迭代公式: syms s x1 x2 % int(exp(-s)*s^(q/2),0,inf); lambdaq=double(2*int(exp(-s)*s^(q/2),0,inf)/(sqrt(pi)*int(exp(-s)*s^(q/2+0.5),0,inf))); % lambda lambda lambdap=double(2*int(exp(-s)*s^(p/2),0,inf)/(sqrt(pi)*int(exp(-s)*s^(p/2+0.5),0,inf))); delta1=sqrt(x1^2+x2^2); % δ delta an=Omigan.^2-Omiga.^2; an1=gamman.*Wn.*lambdaq; an2=2*ksi*Omiga^p*gamman.*Wn.*lambdap; An11=-an1*delta1^(q-1); An12=an2*delta1^(p-1); An21=an2*delta1^(p-1); An22=an1*delta1^(q-1); An=[An11 An12;An21 An22]; % AAn11=An11.*Wn./an; % AAn12=An12.*Wn./an; % AAn21=An21.*Wn./an; % AAn22=An22.*Wn./an; f1=sum(an1.*Wn./an); f2=sum(an2.*Wn./an); % AAn=[sum(An11) sum(An12);sum(An21) sum(An22)]; bn1=lambdaq*Omiga.^(-2); bn2=2*ksi*Omiga.^(p-2)*lambdap; % Bn=[1-bn1*delta1^(q-1) bn2*delta1^(p-1);bn2*delta1^(p-1) -1+bn1*delta1^(q-1)]; F1=bn1+f1; F2=bn2+f2; C=[-Omiga.^(-2);0]; X=[x1;x2]; Fi=[x1-F1*x1*(x1^2+x2^2)^((q-1)/2)+F2*x2*(x1^2+x2^2)^((p-1)/2);-x2+F1*x2*(x1^2+x2^2)^((q-1)/2)+F2*x1*(x1^2+x2^2)^((p-1)/2)]-C; %Fi=(Bn-AAn)*X-C Fxi=[diff(Fi,x1,1) diff(Fi,x2,1)]; x1=0; x2=0; % 迭代公式: for k=1:4 Fi F=subs(Fi); Fx=subs(Fxi); % F=double(F); % Fx=double(Fx); Fxx=inv(Fx); X=subs(X)-Fxx*F x1=X(1); x2=X(2); % F=subs(F,[1,3],'[x1,x2]') end An11=subs(An11); An12=subs(An12); An21=subs(An21); An22=subs(An22); qn1=-An11.*x1/an-An12.*x2/an; qn2=-An21.*x1/an-An22.*x2/an; % Qn=-[An11.*x1/an+An12.*x2/an;An21.*x1/an+An22.*x2/an]; % 功率流公式: delta1=sqrt(X(1)^2+X(2)^2); R0=0; R1=lambdaq*delta1^q; R2=-2*ksi*Omiga^p*lambdap*delta1^p; R=sqrt(R1^2+R2^2); thetafc=atan(R2/R1); thetaw=atan(sum(Wn*qn2)./sum(Wn*qn1)); % θ theta fai=atan(X(2)/X(1)); % φ fai thetaz=fai-thetafc; % deltaz=R/Omiga^2; deltaw=sqrt((sum(Wn*qn2)).^2+(sum(Wn*qn1)).^2); % XX(i)=delta1 Ps(i)=abs(-0.5*Omiga*(delta1*sin(fai)-deltaw*sin(thetaw))); Pb(i)=abs(-0.5*Omiga*R*deltaw*sin(thetaz+thetaw)); end f=logspace(0,3,30); PPs=10*log(Ps/1e-12); PPb=10*log(Pb/1e-12); semilogx(f,PPs,'k-',f,PPb,'b-'); % legend('输入机器功率','输入基础梁的功率','f=[fy fz Mx]=fz*[1;1;1]'); title('Power Flow Through Inclined Isolated System'); xlabel('FREQUENCE(rad/s)');ylabel('Q(dB)'); hold on; % grid end |
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