Shimmy vibrations stability chart

I need to obtain the following graphics using the formulas in the image. Just started using Matlab. I will be glad if you help

[Jon]

If you haven't already completed it, please first complete the MATLAB On-Ramp training https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

Then make your best attempt to code a solution to your problem. Attach your code and any specific questions you have regarding the MATLAB implementation.

[burak akkaya]

Good answer! Congratulations👏

[Jon]

If this answered your question, please accept the answer

[burak akkaya]

Of course no

[Jon]

This is a very friendly and polite site. I'm not quite sure how to interpret the tone of your responses, but I'm feeling like maybe your responses are not in keeping with this. If I'm wrong please forgive, me. If not then please try to be respectful. People are only answering questions here as volunteers, motivated by their desire to help others learn more about MATLAB and to share working on interesting problems. In any case, if you want to get help with your problem, you generally have to give it a try, write some MATLAB code and then ask for help with the issues you encounter.

Answer 1

[Garmit Pant]

Hello

It is my understanding that you are trying to reproduce the figure 5 given in the image attached. Given that there is no data available, it is not possible to reproduce the exact graph and model the exact equations. But since you are new to using MATLAB, you can refer to the following to try to plot 2D graphs.

You can plot mathematical equations and other data on 2D graphs using the ‘plot’ function. The following code snippet demonstrates how to plot a simple quadratic equation.

x = linspace(-2,2,100);
y = x.^2 + 5*x + 5;
plot(x,y)
xlabel X
grid on
ylabel Y 

To plot implicit functions, you can use the function ‘fimplicit’. The following code snippet demonstrates how to plot a simple implicit function.

x = linspace(-2,2,100);
F = @(x,y) x.*y + y.^2.*x +5;
fimplicit(F)
xlabel X
grid on
ylabel Y

You can refer to the following documentation pages to further understand the functionalities of the above-mentioned functions:

https://in.mathworks.com/help/matlab/learn_matlab/plots.html?searchHighlight=plot&s_tid=srchtitle_support_results_3_plot

https://in.mathworks.com/help/matlab/ref/fimplicit.html