MATLAB之vpasolve函数求解

pulbieup · 发表于 2021-5-28 14:11

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x

把phi1范围设置成0：pi*36：2*pi，输出不同phi1下的omiga

写循环，每步对一个phi值进行求解，程序如下：

clear; clc;
syms omega2 omega3
L1 = 9; L2 = 25; L3 = 40; L8 = 37.48;
omega1 = 0.4*pi;
phi1Set = [0:pi/20:2*pi];
Omega2 = zeros(size(phi1Set));
Omega3 = zeros(size(phi1Set));
for ii = 1:1:numel(phi1Set)
phi1 = phi1Set(ii);
phi8 = 0.914*pi;
A = 2*L3*(-L8*sin(phi8)+L1*sin(phi1));
B = 2*L3*(-L8*cos(phi8)+L1*cos(phi1));
C = -L1^2-L3^2-L8^2+L2^2+2*L1*L8*cos(phi1)*cos(phi8)+2*L1*L8*sin(phi1)*sin(phi8);
D = 2*L2*(-L8*sin(phi8)+L1*sin(phi1));
E = 2*L2*(-L8*cos(phi8)+L1*cos(phi1));
F = L1^2+L2^2+L8^2-L3^2-2*L1*L8*cos(phi1)*cos(phi8)-2*L1*L8*sin(phi1)*sin(phi8);
phi2 = 2*atan((D+sqrt(D.^2+E.^2-F.^2))./(E-F));
phi3 = 2*atan((A+sqrt(A.^2+B.^2-C.^2))./(B-C));
x = [-L2*sin(phi2),L3*sin(phi3);L2*cos(phi2),-L3*cos(phi3)];
y = omega1*[L1*sin(phi1),-L1*cos(phi1)];
omega = y/x;
eq1 = -L2*omega2*sin(phi2)+L3*omega3*sin(phi3)-L1*omega1*sin(phi1);
eq2 = L2*omega2*cos(phi2)-L3*omega3*cos(phi3)+L1*omega1*cos(phi1);
sol = vpasolve([eq1,eq2],[omega2,omega3],[0,2*pi]);
Omega2(ii) = double( sol.omega2 );
Omega3(ii) = double( sol.omega3 );
end
plot(phi1Set,Omega2,'r-',phi1Set,Omega3,'b-','LineWidth',2);
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NingW · 发表于 2021-5-28 15:27

MATLAB之vpasolve函数求解

jiulquq · 发表于 2021-5-28 15:28

MATLAB之vpasolve函数求解

younicp · 发表于 2021-5-28 15:28

MATLAB之vpasolve函数求解

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