Begin README: Mass Spring Damper
The Symbolic Math Notebook app and the Symbolic Math Toolbox are demonstrated using a mass spring damper example. The example is simple but gives a flavor of the capabilities of the toolbox.
- Find the related webinar: Using Analytical Tools to Gain Insight and Speed Up Numerical Analysis in MATLAB here
Mass spring damper solved in the Symbolic Math Notebook - I
The analytical solution is derived first, followed by the critical damping case using the limit function. The system is then solved in the Laplace domain. Finally the phase plot is obtained.
Mass spring damper solved in the Symbolic Math Notebook - II
This takes another look at the mass spring damper by plotting the time and frequency plots for a specific case and includes an animation.
Mass spring damper solved using Symbolic in MATLAB
The eigenvalues are extracted by converting to a first order system. Then the poles are derived. it is shown that the poles are exactly identical and since the real parts of the eigenvalues/poles are always negative, the system is always stable.