Plotting two surfaces in cylindrical coordinates

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Thanos Pol
Thanos Pol 2022-10-7
评论： Gautam Chettiar 2022-10-7
Hello,
I need to plot the following surfaces given by:
,
where ρ is the radius, z is the height and ϕthe azimuth. are constants with .
The first surface denotes a torus.

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回答（1 个）

Gautam Chettiar
Gautam Chettiar 2022-10-7
Ran in:
theta = linspace(0, 10 * pi);
z = linspace(0, 5);
[Theta, Z] = meshgrid(theta, z);
% Set the constants
% c >= a
a = 5;
c = 10;
r = sqrt(c ^ 2 - a ^ 2 - z .^ 2) + c;
[x, y, z] = pol2cart(Theta, r, Z);
mesh(x, y, z);
axis equal
  2 个评论
Thanos Pol
Thanos Pol 2022-10-7
So to print the second surface, I should do the something like the following?(which produces an error)
r=sqrt(tan(theta)*2*a.*z-z.^2+a^2);
[x, y, z] = pol2cart(Theta, r, Z);
mesh(x, y, z);
Gautam Chettiar
Gautam Chettiar 2022-10-7
Ran in:
I implemented it, but I faced the complex datatype issue, so I used abs() to fix it, if its wrong then please choose appropriate parameters for the same:
clc
clear all
close all
theta = linspace(0, 2 * pi);
z = linspace(0, 5);
[Theta, Z] = meshgrid(theta, z);
% Set the constants
% c >= a
a = 10;
c = 10;
phi0 = 0;
r = abs(sqrt(2 * a * z .* tan(theta - phi0) - z .^ 2 + a ^ 2)) ;
[x, y, z] = pol2cart(Theta, r, Z);
mesh(x, y, z);
axis equal

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