How can I change the radius of the spiral so it varies along the length from 0 to 1?
y=0:0.5:100; n=length(y); x=cos(y/100*10*pi);z=sin(y/100*10*pi); X=[zeros(1,n);x]; Y=[y;y]; Z=[zeros(1,n);z]; surf(X,Y,Z); alpha(0.5); view(75,15); MATLAB: How to change the radius of the spiral so it varies along the length from 0 to 1
3d plots
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Hi!
I don't understand why the x and y spacing depends on the number of modes/frequencies.
Take a look at the following code:
L_x = 27.4e-3; %membrane width (m)
L_y = 27.4e-3; %membrane height (m)
N_x = 5; %no. of eigenfreqs considered in x dimension
N_y = 10; %no. of eigenfreqs considered in y dimension
N = N_x*N_y; %total no. of eigenfreqs considered
NumX = 50; % number of mapping points in x-direction
NumY = 50; % number of mapping points in y-direction
% create X and Y array in 2d
[X,Y] = meshgrid(... (linspace(0.5*L_y/NumY, L_y - 0.5*L_y/NumY, NumY)), ... (linspace(0.5*L_x/NumX, L_x - 0.5*L_x/NumX, NumX)));% modify X and Y array for 3d
XFull = repmat(X, [1 1 N]);YFull = repmat(Y, [1 1 N]);% create mode array for X
Mx = ones(NumX, NumY, N_y);MxFull = [];for n = 1:N_x MxFull = cat(3, MxFull, n*Mx);end% create mode array for Y
My = ones(NumX, NumY);MyFull = [];for n = 1:N_y MyFull = cat(3, MyFull, n*My);endMyFull = repmat(MyFull, [1 1 N_x]);% modes for each direction
Wx_n = arrayfun(@(x,mx) sin(x .* (mx *pi/L_x)), XFull, MxFull);Wy_n = arrayfun(@(y,my) sin(y .* (my *pi/L_x)), YFull, MyFull);% superposition of modes
W_n = Wx_n .* Wy_n;% plot
figure(1); clasurface(W_n(:,:,23));Something like this
[X,Y,~]=sphere(21);s=sin(0:2*pi/21:2*pi);Z=repmat(s',1,22);figure(12);subplot(1,2,1);surf(X,Y,Z);alpha(0.5);xlabel('x');ylabel('y');zlabel('z');pbaspect([1 1 1])subplot(1,2,2);surf(Z,Y,X);alpha(0.5);xlabel('x');ylabel('y');zlabel('z');pbaspect([1 1 1])
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