MATLAB: How to create double axis for one graph - matlab

I am trying to create a plot of failure strength vs material stiffness. However, the stiffness can be given as either [Pascal] or [Shore A] - I would like to use both in a double axis plot.
I've tried using plotyy but it will not allow me to have one line plot, nor does it allow the non-linear relation between Pascal and Shore A. I would like to plot one of them and then manually add the spacing between the others ticks.
Preferably I would like the stiffness on the x-axis, but y-axis can do if it is easier.
Any help is most welcome!
Example picture of what I'm trying to do

This may help you when you need double x-axes and double y-axes plot, but if you need single y-axes and two x-axes you can modify accordingly:
This example shows how to create a graph using the bottom and left sides of the axes for the first plot, and the top and right sides of the axes for the second plot.
Create the data to plot.
x1 = 0:0.1:40;
y1 = 4.*cos(x1)./(x1+2);
x2 = 1:0.2:20;
y2 = x2.^2./x2.^3;
Use the line function to plot y1 versus x1 using a red line. Set the color for the x-axis and y-axis to red.
Note: Starting in R2014b, you can use dot notation to set properties. If you are using an earlier release, use the set function instead, such as set(ax1,'XColor','r').
figure
line(x1,y1,'Color','r')
ax1 = gca; % current axes
ax1.XColor = 'r';
ax1.YColor = 'r';
Create a second axes in the same location as the first axes by setting the position of the second axes equal to the position of the first axes. Specify the location of the x-axis as the top of the graph and the y-axis as the right side of the graph. Set the axes Color to 'none' so that the first axes is visible underneath the second axes.
ax1_pos = ax1.Position; % position of first axes
ax2 = axes('Position',ax1_pos,...
'XAxisLocation','top',...
'YAxisLocation','right',...
'Color','none');
Use the line function to plot y2 versus x2 on the second axes. Set the line color to black so that it matches the color of the corresponding x-axis and y-axis.
line(x2,y2,'Parent',ax2,'Color','k')
The graph contains two lines that correspond to different axes. The red line corresponds to the red axes. The black line corresponds to the black axes.
Source:
http://www.mathworks.com/help/matlab/creating_plots/graph-with-multiple-x-axes-and-y-axes.html

Related

How to control the default distance between ticks of the Y axis?

Here is a simple MATLAB code. How to control the default distance between ticks of the Y axis? I want to make it smaller to fit in my paper. Hint: I update the post with 2 picture that shows what I mean (they are the same but the distance between the y axis ticks is smaller in one picture that the other.
x = linspace(-10,10,200);
y = sin(4*x)./exp(x);
plot(x,y)
xlim([0 10])
ylim([-0.4 0.8])
You can control the tick by using the gca object of the plot. Here is an example for xtick. Change 'xtick' to 'ytick':
plot(x,y);
set(gca, 'xtick', [-10:2:10]);
If you want to change the x-axis tick labels with new labels, then you can change the values of the labels as follows:
% specify the ticks first where you want to change
xticks([0 2 4 6 8])
% change the corresponding labels to the required ones
xticklabels({'-1', '-2', '-3', '-4', '-5'})
You can modify the height of the graph, maintaining the number and values of the tick marks, which makes the distance between tick marks smaller.
To do so, set the figure window’s 'Position' property (this is equivalent to dragging the edges of the window to make the figure smaller), and setting the locations of the tick marks manually to prevent MATLAB from reducing their number. For example:
h = gcf; % figure handle
a = gca; % axes handle
ticks = get(a,'YTick');
pos = get(h,'Position');
pos(4) = pos(4) * 0.75; # reduce the size
set(h,'Position',pos);
set(a,'YTick',ticks)
You should also note the PaperPosition, PaperSize and other Paper... properties of the figure, as they are used when printing (also to file). You might want to manually set those properties before creating a PDF or EPS from the graph.
Here is even a simpler way then what #Cris suggested:
ax = axes;
ax.YTickMode = 'manual';
ax.Position(4) = ax.Position(4)*0.75;
by setting the YTickMode to manual you prevent Matlab from updating the ticks upon resizing of the axes. Then you change the hight of the axes by setting the position property directly.

Vertical lines for Bode plots in Matlab

I have graphed a Bode plot for my transfer function, and I was wondering if there is some way to insert either horizontal or vertical lines to show a specific value for the gain/phase angle or frequency?
I have found with the following code I can draw a horizontal line on the phase angle graph:
x = linspace(10^-1,10^2,100);
for bleh = 1:length(x)
y(bleh) = -30.9638;
end
bode(num, den)
hold on
plot(x,y)
But this does not seem to apply in the gain graph, nor does my limited knowledge (and only way that makes sense to me) of vertical lines. I tried:
y1 = get(gca,'ylim');
w1 = 1.2;
bode(num, den)
hold on
plot(x,y,[w1 w1],y1)
But I only get the one horizontal line as was done from the above code.
Is this a possibility?
(Using R2017a, if that matters.)
I'm not sure I've understood you question, nevertheless, I propose the following.
When there are more one axes in a figure, as it is the case of the bode diagram, if you want to add something in a specific axes (or in all) you have to specify, in the call to plot the handle of the axes.
So, to add lines in the bode diagram, you have first to identify the handles of the two axes: you can do it in, at least two way:
using the findobj function: ax=findobj(gcf,'type','axes')
extract them as the Children of the figure: ax=get(gcf,'children')
Once you have the handles of the axes, you can get their XLim and YLim that you can use to limit the extent of the line you want to add.
In the following example, I've used the above proposed approach to add two lines in each graph.
The horizontal and vertical lines are added in the middle point of the X and Y axes (problably this point does not have a relevant meaning, but it is ... just an example).
% Define a transfer function
H = tf([1 0.1 7.5],[1 0.12 9 0 0]);
% PLot the bode diagram
bode(H)
% Get the handles of the axes
ax=findobj(gcf,'type','axes')
phase_ax=ax(1)
mag_ax=ax(2)
% Get the X axis limits (it is the same for both the plot
ax_xlim=phase_ax.XLim
% Get the Y axis limits
phase_ylim=phase_ax.YLim
mag_ylim=mag_ax.YLim
%
% Define some points to be used in the plot
% middle point of the X and Y axes of the two plots
%
mid_x=(ax_xlim(1)+ax_xlim(2))/2
mid_phase_y=(phase_ylim(1)+phase_ylim(2))/2
mid_mag_y=(mag_ylim(1)+mag_ylim(2))/2
% Set hold to on to add the line
hold(phase_ax,'on')
% Add a vertical line in the Phase plot
plot(phase_ax,[mid_x mid_x],[phase_ylim(1) phase_ylim(2)])
% Add an horizontal line in the Phase plot
plot(phase_ax,[ax_xlim(1), ax_xlim(2)],[mid_phase_y mid_phase_y])
% Set hold to on to add the line
hold(mag_ax,'on')
% Add a vertical line in the Magnitide plot
plot(mag_ax,[mid_x mid_x],[mag_ylim(1) mag_ylim(2)])
% Add an Horizontal line in the Magnitide plot
plot(mag_ax,[ax_xlim(1), ax_xlim(2)],[mid_mag_y mid_mag_y])
Hope this helps,
Qapla'

MATLAB: a better way to switch between primary and secondary y-axis?

I'm aware of plotyy but in my opinion it's not as intuitive as for example typing subplot(2,3,1) and from that point one working in that particular subplot's environment...
Suppose I have the following data:
a=rand(20,1);
a_cumul=cumsum(a);
I would like to do a plot of a_cumul on the primary (left hand) y-axis and a bar chart of a on the secondary (right hand) y-axis.
I'm well aware that I can do:
plotyy(1:length(a_cumul),a_cumul,1:length(a),a,'plot','bar')
But this is cumbersome and what if I want to for example plot to the secondary y-axis only and not plot to the primary y-axis? In short, I'm looking for whether a solution like this exists:
figure;
switchToPrimaryYAxis; % What to do here??
plot(a_cumul);
% Do some formatting here if needed...
switchToSecondaryYAxis; % What to do here??
bar(a);
Thanks a lot for your help!
Basically plotyy:
creates two superimposed axes
plots the data specified as the first two params on the first axes
plots the data specified as the last two params on the second axes
set the second second axes color to none making it "transparent" so allowing seeing the graph on the first axes
moves the yaxislocation from the standard position (left) to right
You can create a figure, then two axes make make any plot on the two axes by selecting then with axes(h) where h is the handler of the axes.
Then you can write a your own function performing the axes adjustment.
Script to create figure, axes and call the function to adjust the axes
% Generate example data
t1=0:.1:2*pi;
t2=0:.1:4*pi;
y1=sin(t1);
y2=cos(t2);
% Create a "figure"
figure
% Create two axes
a1=axes
a2=axes
% Set the first axes as current axes
axes(a1)
% Plot something
plot(t1,y1,'k','linewidth',2)
% Set the second axes as current axes
axes(a2)
% Plot something
plot(t2,y2,'b','linewidth',2)
grid
% Adjust the axes:
my_plotyy(a1,a2)
Function to adjust the axes - emulating plotyy behaviour
The function requires, as input, the handles of the two axes
function my_plotyy(a1,a2)
set(a1,'ycolor',[0 0 0])
set(a1,'box','on')
% Adjust the second axes:
% change x and y axis color
% move x and y axis location
% set axes color to none (this make it transparend allowing seeing the
% graph on the first axes
set(a2,'ycolor','b')
set(a2,'xcolor','b')
set(a2,'YAxisLocation','right')
set(a2,'XAxisLocation','top')
set(a2,'color','none')
set(a2,'box','off')
Hope this helps.

Linear and Non-linear axis in Matlab

I'm the MatLab newbie and I need some help to create a linear and non-linear axis in one chart.
I need to make chart with 2 different X-axes. One X-axis displays 1000/T at the bottom and the second X-axis displays a T at the top of the chart.
Example figure:
Do you have any idea how to solve this problem in MatLab?
Thanks.
This can be done by simply creating a second axes object at the same place as the first. Let's first create some data:
x1 = 1:0.1:3.5;
x2 = 1./x1;
y = (0.5*(x1-2)).^3;
Now we can create a normal plot with the first axes, and get the axes handle:
plot(x1,y,'-r');
ax(1) = gca;
Then we create the second axes object, at the same position as the first, and make the color none so it is transparent and the plot from below is still visible. As this adds a second Y axis too, we simply remove the Y ticks of the second axis.
ax(2) = axes('Position',ax(1).Position,'XAxisLocation','top','Color','none');
set(ax(2),'YTick',[]);
Now lets just format the second X axis as we like. Let's set the limits to the minimum and maximum of the x2 vector, and make it logarithmic:
set(ax(2),'XLim',[min(x2),max(x2)]);
set(ax(2),'XScale','log');
Now we still have the problem that the XTicks of ax(1) are also displayed at the top, and the XTicks of ax(2) are displayed at the bottom. This can be fixed by removing the box around the existing axes and creating a third axis without any ticks but with a box.
box(ax(1),'off');
box(ax(2),'off');
ax(3) = axes('Position',ax(1).Position,'XTick',[],'YTick',[],'Box','on','Color','none');
Now finally we can link the axes to be able to zoom correctly
linkaxes(ax);
And that should be it...
There is documentation for having a graph with two y-axes on the Mathworks website . .
http://de.mathworks.com/help/matlab/creating_plots/plotting-with-two-y-axes.html
It should be trivial to covert the concepts to the x-axis.

How to merge different plot but same y axis in matlab

I'm always see this kind of graph in XRD plot:
and i'm wondering how they do that?, if you have different XRD plot and assuming having the same y axis, can matlab do this? thanks.
Here is a way to do it.You can customize it as you want, but this should hopefully get you going.
First create an axes and change its position/size inside the figure, shifting it upward to make room for the 2nd axes as well as removing the x and y labels that you don't want. Then create a 2nd axes with specified position/size to make it fit below the 1st one.
Sample code:
clear
clc
%// Generate dummy data
x = 1:2:100;
y1 = rand(1,numel(x));
figure;
%// Make an axes and set its position
haxes1 = axes('Position',[.1 .1 .8 .7],'Color',[1 1 1])
%// Plot 1st curve
plot(x,y1,'Parent',haxes1)
%// Remove box and labels
box off
set(gca,'XTickLabel','','XTick',[],'YTick',[])
hold on
%// Get current axes position. You set it so you could get the parameters
%// directly as well.
axes1Pos = get(gca,'Position');
%// Shift 1st axes upward
set(gca,'Position',[axes1Pos(1) 2.6*axes1Pos(2) axes1Pos(3) axes1Pos(4)])
%// Change the poisition/size of the 2nd axes to fit below the 1st one
haxes2 = axes('Position',[axes1Pos(1) axes1Pos(2)/2.5 axes1Pos(3) axes1Pos(4)/2.5]) ;
%// Use linspace to generate colored points to use with scatter.
c = linspace(1,10,length(x));
%// Add 2nd plot and keep only x label
scatter(x,rand(1,numel(x)),40,c,'filled')
set(gca,'YTick',[])
box off
%// Place a ylabel for both axes
text(-4, 1.7,'Super nice y label','rotation',90,'FontSize',16,'HorizontalAlignment','center')
Sample output:
There are other ways to do this as well.
Hope that helps!