MATLAB: Plot function of 3 variables

plot

Hi,

I have a question.

How I can plot function of determinant of Jacobian array with 3 variables?

function:

cos(th2) * sin(th1)^2 * cos(th2+th3) * sin(th2) - sin(th1)^2 * sin(th2+th3) * cos(th2)^2 + sin(th1)^2 * cos(th2+th3)^2 * sin(th2) - cos(th2+th3) * sin(th1)^2 * sin(th2+th3) * cos(th2) + cos(th2) * cos(th1)^2 * cos(th2+th3) * sin(th2) - cos(th1)^2 * sin(th2+th3) * cos(th2)^2 + cos(th1)^2 * cos(th2+th3)^2 * sin(th2) - cos(th2+th3) * cos(th1)^2 * sin(th2+th3) * cos(th2)

th1, th2 and th3 are variables

Thanks a lot

Best Answer

Three variables plus one result = 4 dimensions. To represent the 4th dimension you will need to use color or transparency or shading or marker size or marker shape.

Related Solutions

MATLAB: How to solve a non-linear equation system as function handle with fsolve

qini = zeros(1,6);             % Initial guess
ci = fsolve(@funec,qini)       % fsolve with the function handle, unknown variables and initial guess
                               % done many variations here, none of them worked
function ec = funec(x);
q1 = x(1);
q2 = x(2);
q3 = x(3);
q4 = x(4);
q5 = x(5);
q6 = x(6);
ec =[...
    sin(q6)*(cos(q1)*cos(q2)*sin(q3)*sin(q4) - cos(q4)*sin(q1) + cos(q1)*cos(q3)*sin(q2)*sin(q4)) - cos(q6)*(cos(q2 + q3)*cos(q1)*sin(q5) + cos(q5)*sin(q1)*sin(q4) + cos(q1)*cos(q2)*cos(q4)*cos(q5)*sin(q3) + cos(q1)*cos(q3)*cos(q4)*cos(q5)*sin(q2)) - 3097002709122497/18014398509481984
    cos(q6)*(cos(q1)*cos(q4) + cos(q2)*sin(q1)*sin(q3)*sin(q4) + cos(q3)*sin(q1)*sin(q2)*sin(q4)) + sin(q6)*(cos(q2 + q3)*sin(q1)*sin(q5) - cos(q1)*cos(q5)*sin(q4) + cos(q2)*cos(q4)*cos(q5)*sin(q1)*sin(q3) + cos(q3)*cos(q4)*cos(q5)*sin(q1)*sin(q2)) - 6124274932042799/36028797018963968
    - sin(q2 + q3)*cos(q5) - cos(q2 + q3)*cos(q4)*sin(q5) - 139701203459709/140737488355328
    70*cos(q1) + 360*cos(q1)*sin(q2) - 65*sin(q1)*sin(q4)*sin(q5) + 380*cos(q1)*cos(q2)*cos(q3) - 380*cos(q1)*sin(q2)*sin(q3) + 65*cos(q1)*cos(q2)*cos(q3)*cos(q5) - 65*cos(q1)*cos(q5)*sin(q2)*sin(q3) - 65*cos(q1)*cos(q2)*cos(q4)*sin(q3)*sin(q5) - 65*cos(q1)*cos(q3)*cos(q4)*sin(q2)*sin(q5) + 19869/50
    sin(q6)*(cos(q1)*cos(q4) + cos(q2)*sin(q1)*sin(q3)*sin(q4) + cos(q3)*sin(q1)*sin(q2)*sin(q4)) - cos(q6)*(cos(q2 + q3)*sin(q1)*sin(q5) - cos(q1)*cos(q5)*sin(q4) + cos(q2)*cos(q4)*cos(q5)*sin(q1)*sin(q3) + cos(q3)*cos(q4)*cos(q5)*sin(q1)*sin(q2)) + 2202239090516653/2251799813685248
    cos(q2 + q3)*cos(q6)*sin(q4) - sin(q6)*(sin(q2 + q3)*sin(q5) - cos(q2 + q3)*cos(q4)*cos(q5)) + 7591943296130745/288230376151711744
    cos(q2 + q3)*cos(q1)*cos(q5) - sin(q5)*(sin(q1)*sin(q4) + cos(q1)*cos(q2)*cos(q4)*sin(q3) + cos(q1)*cos(q3)*cos(q4)*sin(q2)) - 102014544375725/18014398509481984
    70*sin(q1) + 360*sin(q1)*sin(q2) - 380*sin(q1)*sin(q2)*sin(q3) + 380*cos(q2)*cos(q3)*sin(q1) + 65*cos(q1)*sin(q4)*sin(q5) + 65*cos(q2)*cos(q3)*cos(q5)*sin(q1) - 65*cos(q5)*sin(q1)*sin(q2)*sin(q3) - 65*cos(q2)*cos(q4)*sin(q1)*sin(q3)*sin(q5) - 65*cos(q3)*cos(q4)*sin(q1)*sin(q2)*sin(q5) - 1563/20
    cos(q6)*(sin(q2 + q3)*sin(q5) - cos(q2 + q3)*cos(q4)*cos(q5)) + cos(q2 + q3)*sin(q4)*sin(q6) - 2129854249224409/18014398509481984
    cos(q6)*(cos(q1)*cos(q2)*sin(q3)*sin(q4) - cos(q4)*sin(q1) + cos(q1)*cos(q3)*sin(q2)*sin(q4)) + sin(q6)*(cos(q2 + q3)*cos(q1)*sin(q5) + cos(q5)*sin(q1)*sin(q4) + cos(q1)*cos(q2)*cos(q4)*cos(q5)*sin(q3) + cos(q1)*cos(q3)*cos(q4)*cos(q5)*sin(q2)) - 8872946535830847/9007199254740992
    cos(q2 + q3)*cos(q5)*sin(q1) - sin(q5)*(cos(q2)*cos(q4)*sin(q1)*sin(q3) - cos(q1)*sin(q4) + cos(q3)*cos(q4)*sin(q1)*sin(q2)) - 8718732974408059/72057594037927936
    360*cos(q2) - 380*cos(q2)*sin(q3) - 380*cos(q3)*sin(q2) - 65*cos(q2)*cos(q5)*sin(q3) - 65*cos(q3)*cos(q5)*sin(q2) - 65*cos(q2)*cos(q3)*cos(q4)*sin(q5) + 65*cos(q4)*sin(q2)*sin(q3)*sin(q5) - 39571/100];
end

MATLAB: Multiplication of matrices with Multiple variables

Not sure how you are getting the 'same value'. Your code as it is will not run in the first place.

Try this:

%case I
th1 = 0;
th2 = 0;
th3 = 0;
th4 = 0;
th5 = 0;
th6 = 0;
display('Case 1');
T1 = [cos(th1) 0 -sin(th1) 0; sin(th1) 0 -cos(th1) 0; 0 -1 0 0; 0 0 0 1];
T2 = [cos(th2) -sin(th2) 0 (260*cos(th2)); sin(th2) cos(th2) 0 (260*sin(th2)) ; 0 0 1 0; 0 0 0 1];
T3 = [cos(th3) 0 sin(th3) (-30*cos(th3)); sin(th3) 0 -cos(th3) (-30*sin(th3)) ; 0 1 0 0; 0 0 0 1];
T4 = [cos(th4) 0 sin(th4) 0; sin(th4) 0 -cos(th4) 0; 0 1 0 270; 0 0 0 1];
T5 = [cos(th5) 0 sin(th5) 0; sin(th5) 0 -cos(th5) 0; 0 1 0 0; 0 0 0 1];
T6 = [cos(th6) -sin(th6) 0 0; sin(th6) cos(th6) 0 0; 0 0 1 90; 0 0 0 1];
T = T1 * T2 * T3 * T4 * T5 * T6;
display(T);
%case II
th1 = pi/2;
th2 = 0;
th3 = pi;
th4 = 0;
th5 = 0;
th6 = 0;
display('Case 2');
T1 = [cos(th1) 0 -sin(th1) 0; sin(th1) 0 -cos(th1) 0; 0 -1 0 0; 0 0 0 1];
T2 = [cos(th2) -sin(th2) 0 (260*cos(th2)); sin(th2) cos(th2) 0 (260*sin(th2)) ; 0 0 1 0; 0 0 0 1];
T3 = [cos(th3) 0 sin(th3) (-30*cos(th3)); sin(th3) 0 -cos(th3) (-30*sin(th3)) ; 0 1 0 0; 0 0 0 1];
T4 = [cos(th4) 0 sin(th4) 0; sin(th4) 0 -cos(th4) 0; 0 1 0 270; 0 0 0 1];
T5 = [cos(th5) 0 sin(th5) 0; sin(th5) 0 -cos(th5) 0; 0 1 0 0; 0 0 0 1];
T6 = [cos(th6) -sin(th6) 0 0; sin(th6) cos(th6) 0 0; 0 0 1 90; 0 0 0 1];
T = T1 * T2 * T3 * T4 * T5 * T6;
display(T);

Works fine. If you want an optimized code and dont want to repeat the T1 to T6 equations, you can write them in a function and just call the function multiple times.

Best Answer

Related Solutions

MATLAB: How to solve a non-linear equation system as function handle with fsolve

MATLAB: Multiplication of matrices with Multiple variables

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