利用MATLAB如何求解如下非线性方程组,(续)fai=pi/2; f=36.2*10^3 w=2*pi*f a=2*10^-6;b=2*10^-6;v=2.5*10^-3% m/s[t1,t4]=solve('a*cos(w*t1)-a*cos(w*t4)+(t4-t1)*v=2*pi*v/w','b*cos(w*t1+fai)-b*cos(w*t4+fai)=0','t1','t4');出现以下问题
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![利用MATLAB如何求解如下非线性方程组,(续)fai=pi/2; f=36.2*10^3 w=2*pi*f a=2*10^-6;b=2*10^-6;v=2.5*10^-3% m/s[t1,t4]=solve('a*cos(w*t1)-a*cos(w*t4)+(t4-t1)*v=2*pi*v/w','b*cos(w*t1+fai)-b*cos(w*t4+fai)=0','t1','t4');出现以下问题](/uploads/image/z/11499437-29-7.jpg?t=%E5%88%A9%E7%94%A8MATLAB%E5%A6%82%E4%BD%95%E6%B1%82%E8%A7%A3%E5%A6%82%E4%B8%8B%E9%9D%9E%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%2C%EF%BC%88%E7%BB%AD%EF%BC%89fai%3Dpi%2F2%3B+f%3D36.2%2A10%5E3+w%3D2%2Api%2Af+a%3D2%2A10%5E-6%3Bb%3D2%2A10%5E-6%3Bv%3D2.5%2A10%5E-3%25+m%2Fs%5Bt1%2Ct4%5D%3Dsolve%28%27a%2Acos%28w%2At1%29-a%2Acos%28w%2At4%29%2B%28t4-t1%29%2Av%3D2%2Api%2Av%2Fw%27%2C%27b%2Acos%28w%2At1%2Bfai%29-b%2Acos%28w%2At4%2Bfai%29%3D0%27%2C%27t1%27%2C%27t4%27%29%3B%E5%87%BA%E7%8E%B0%E4%BB%A5%E4%B8%8B%E9%97%AE%E9%A2%98)
利用MATLAB如何求解如下非线性方程组,(续)fai=pi/2; f=36.2*10^3 w=2*pi*f a=2*10^-6;b=2*10^-6;v=2.5*10^-3% m/s[t1,t4]=solve('a*cos(w*t1)-a*cos(w*t4)+(t4-t1)*v=2*pi*v/w','b*cos(w*t1+fai)-b*cos(w*t4+fai)=0','t1','t4');出现以下问题
利用MATLAB如何求解如下非线性方程组,(续)
fai=pi/2;
f=36.2*10^3
w=2*pi*f
a=2*10^-6;
b=2*10^-6;
v=2.5*10^-3% m/s
[t1,t4]=solve('a*cos(w*t1)-a*cos(w*t4)+(t4-t1)*v=2*pi*v/w','b*cos(w*t1+fai)-b*cos(w*t4+fai)=0','t1','t4');
出现以下问题:警告:Warning,solutions may have been lost
警告:Explicit solution could not be found.
补充:t1,t4均小于1/(36.2*10^3),接近0.
利用MATLAB如何求解如下非线性方程组,(续)fai=pi/2; f=36.2*10^3 w=2*pi*f a=2*10^-6;b=2*10^-6;v=2.5*10^-3% m/s[t1,t4]=solve('a*cos(w*t1)-a*cos(w*t4)+(t4-t1)*v=2*pi*v/w','b*cos(w*t1+fai)-b*cos(w*t4+fai)=0','t1','t4');出现以下问题
solve是求符号解,这个方程情况较多,Matlab解不了.我现在手头没有matlab,你试试数值解函数fsolve.
此外,这个方程可以手工做一步,再求数值
由第二个方程知,sin(w*t1)=sin(w*t4),得w*t1=2*k*pi+w*t4,或w*t1=2*k*pi+pi-w*t4.第一种情况有无穷解,第二种情况再求数值解.