In the Symbolic Math Toolbox, such restrictions are called assumptions on variables. For example, the system does not know if these variables are positive or negative, if $r_1 0$, $r_2>0$, $R_1>r_1$, and $R_2>r_2$. This is because the variables $r_1$, $r_2$, $R_1$, and $R_2$ can be any complex number, unless we explicitly restrict their values. Nevertheless, we need to add one more step: specify relationships between symbolic parameters.
Basic Example: Cross Section of an Elliptical Tube You can find the source code for these plots at the end of the article. We start with a basic case involving only numeric parameters, and then make the computations more general by introducing symbolic parameters.Īll plots used in this article have been created in the MuPAD Notebook app. In this article, we use capabilities of the Symbolic Math Toolbox to compute area moments for cross sections of elliptical tubes. For example, area moments of inertia play a critical role in stress, dynamic, and stability analysis of structures. If you are interested in using MATLAB and the Symbolic Math Toolbox in teaching some basics in mechanical engineering, this might be of interest to you.Ĭomputing area moments of inertia is an important task in mechanics. In a Nutshell: What Is This Article About?
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