Ploting temperature evolution in a multi-layer tyre

Question

Jan Soller 2023-10-24

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https://ww2.mathworks.cn/matlabcentral/answers/2037916-ploting-temperature-evolution-in-a-multi-layer-tyre

编辑： Mathieu NOE 2024-2-8

temperatureData.xlsx

Hello,

I'm looking for a graphical representation of temperature changes in a tyre. My simulink gives me the real time temperatures of my 300 layers in a spreadsheet called "temperatureData" but I'm now trying to represent the 300 layers of the tyre according to their temperature using a colour scale as shown in the image above. I've tried several methods but I can't get anywhere. If anyone has an idea or a code proposal that might be suitable I'd be happy to discuss it and see what they come up with !

I'm also copying an excel of the temperature as an example (a shorter version).

Thank you in advance for your help.

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Answer 1

Mathieu NOE 2023-10-24

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https://ww2.mathworks.cn/matlabcentral/answers/2037916-ploting-temperature-evolution-in-a-multi-layer-tyre#answer_1339661

在 MATLAB Online 中打开

maybe this ?

I assumed your data has columns = layers and the rows spans the angular position between 0 and 2pi

as a result , a nice donut but does it represents really a tire?

A =readmatrix('temperatureData.xlsx');
[m,layers] = size(A); % rows = angular position (0 to 2pi), columns = layers
da = 2*pi/m;
angl = (0:da:2*pi-da)'*ones(1,layers);
% tire defined by inner radius ri and outer radius ro (units ??)
ri = 100;
ro = 200;
r = ones(m,1)*linspace(ri,ro,layers);
% create X,Y meshes
X = r.*cos(angl);
Y = r.*sin(angl);
% plot
surf(X,Y,A);
shading interp
view(2)
axis square

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Mathieu NOE 2023-10-30

编辑：Mathieu NOE 2024-2-8

在 MATLAB Online 中打开

hello Jan

try this, it will generate a MP4 video file (demo.mp4)

as your time axis is very long the video file generation can take a while, be patient !

A =readmatrix('temperatureData.xlsx');
[time,layers] = size(A); % rows = time stamps (seconds) , columns = layers
% tire defined by inner radius ri and outer radius ro (units ??)
ri = 100;
ro = 200;
nb = 100; % number or radii to plot
r = ones(nb,1)*linspace(ri,ro,layers);
da = 2*pi/(nb-1);
angl = (0:da:2*pi)'*ones(1,layers);
% create X,Y mesh
X = r.*cos(angl);
Y = r.*sin(angl);
% fix colorbar min/max values 
minA = min(A,[],'all');
maxA = max(A,[],'all');
%==============================================================================================
% Prepare the video file.
  vidObj = VideoWriter('demo.mp4','MPEG-4');
  open(vidObj);
  numberOfFrames = time; % maybe consider decimation / resampling to speed up the video process
  
for ci = 1:numberOfFramesa
   cla reset;
    s = surf(X,Y,ones(nb,1)*A(ci,:));
    s.EdgeColor = 'none'; % hide the edges
    title(['Time index = ' num2str(ci), ' seconds '] , 'FontSize', 15);
    colorbar('vert');
    caxis([minA-5, maxA+5]);
    shading interp
    view(2)
    axis square
	drawnow;
     % Write each frame to the file.
     currFrame = getframe(gcf);
     writeVideo(vidObj,currFrame);
    
end
  % Close the video file.
  close(vidObj);

Jan Soller 2023-10-30

编辑：Jan Soller 2024-2-6

Hello Mathieu,

Thanks a lot for your help, it is exactly what I was searching for and the result looks really impressive!

Adding the video recording is also just perfect, as I can accelerate it in post-processing.

Thanks again and I wish you all the best,

Mathieu NOE 2023-10-30

my pleasure !

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Ploting temperature evolution in a multi-layer tyre

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