Ordinary Differential Equations and Dynamic Systems in Simulink

This video discusses solving ordinary differential equations in Simulink. In this video we will illustrate how to do the following:

1. Develop a differential equation describing the dynamics of a nonlinear system.
2. Investigate various methods in Simulink to solve these systems (individual blocks, state space, and transfer functions).
3. Simulate the response of these systems to inputs and initial conditions.
4. Modify the system to include nonlinear dynamics.

Before watching, please ensure you have viewed the following videos:

[panterapantera]

Sir, this video is so great. It is exactly what I was looking for. Your explanations are simple and understandable. I am 23 and just started with matlab few days ago. I watched few other videos before I ran on to you, those were not as nearly as good as yours. Stuff like this is the reason why I want to learn matlab. I am definitely going to watch all of your videos. Keep up with the good work. I would really like to see more videos like this. You are master at matlab, big thanks for sharing your knowledge with us.

[stalinibanez]

This video is so easy to follow that only in a few minutes I was able to model a MDoF system of 4 masses and obtain the results of displacements for each mass. The results match perfectly with the solution obtained using the Newmark beta method.
Now I will continue trying something more complex.
Thank you very much. This video was very helpful.

[anthonyz]

This is a great refresher on state space; I remember learning it in my controls and dynamics system course back in undergrad and didn't get a full grasp of it. However, this video clarifies it a lot on top of modelling it. Great content.

[selamhendrix]

The side by side comparison is very helpful. Good video to help understand how to implement simulink.

[Kay-dxvm]

If I were my professor, I would just play this video in my class. For a 75 mins class meeting, I still have 30 mins to answer student questions or do some more examples. This video is amazing. We covered everything you mentioned in this video but I did not really understand the relationship between transfer function and the everything else.

[rowellcastro]

AA516: Thank you for this tutorial Professor! I had only minimal exposure to simulink before this video and the previous tutorial video. Now, I am pretty confident on navigating through simulink.

[anthonynguyen]

AE501 - I have only used simulink for electrical engineering coursework before, but I did not know how to use simulink for a variety of applications outside of EE. Great video as always!

[mofukeryeah]

that was the most interesting and helpful matLAB class with examples i've ever seen, congrats for your great job, you will help a lot of engineering students with these videos!

[PlutoPlanet]

Really helpful video. It really helped my understanding of the different options available with Simulink when you modeled the same system in three different block diagrams, and showed the same output from each.

[zachjuveli]

You have made this incredibly practical and educational!

[tadm]

This was the best video by far that I'd seen. I was having trouble understanding how all of these models relate to each other, especially the transfer function.
Thanks my friend :)

[elijahleonen]

AE501: Very interesting example with the pendulum. Very helpful for ODE in Simulink!

[karlbalitaan]

This is a helpful video to visualize the differences between a linear and non-linear model! Thanks Chris!

[alviehaider]

AE 501 My emplyer uses simulink to solve complex free body diagrams and this was a good video into understanding the concept and use of it

[ivancordero]

Great video. I love how simple it was to implement non-linear behavior

[LorraineB_]

I really enjoyed this video. I have never implemented a state space or transfer function in Simulink so I found this video very useful. Thank you.

[paulpietrowicz]

AE501- Ive taken many Simulink courses years ago, you make this seem way easier than when I first put these tools into the toolbox. Thanks! Now If i can model this spring pulley mass system in the HW as easy as you made it seem in Simulink...

[petermay]

AA516: Easy to follow, cool to see comparison between different approaches!

[lienchang]

I’ve always had trouble solving ODEs with Simulink especially with state space representation but this video really helped me out a lot!!
-Lien

[sidraman]

Very easy to understand. A great resource for solving ODE's via Simulink.