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# ME5180 - Dynamics | |
## Examples of Numerical Analysis in Dynamics | |
### 0- Intro to Matlab and Numerical integration | |
Matlab-and [Octave](https://www.gnu.org/software/octave/)-review of syntax and numerical integration techniques. In particular, Euler's method and the ode-integration routines ode23 and ode45, Runge-Kutta integration methods. | |
[Intro to Matlab and Numerical Integration](./intro_to_numerical_integration.ipynb) | |
### 1- Double Pendulum Kinematics | |
[double_pendulum.m](./double_pendulum.m) has a script to plot the velocity over time and | |
create an animation of the link positions. [double_pendulum.ipynb](double_pendulum.ipynb) | |
shows the output of the code. | |
### 2- Rotating Pendulum Equations of motion | |
![Rotating pendulum diagram](./figures/rotating_pendulum.svg) | |
A pendulum is fixed to a rotating L-bracket, the solution to the rotating system is given | |
in [rotating pendulum solution](./rotating_pendulum.ipynb) | |
![$\omega$=1 rad/s](./figures/animation_rotating_pendulum/w_1_anim.gif) | |
![$\omega$=5 rad/s](./figures/animation_rotating_pendulum/w_5_anim.gif) |