Modeling Ball and Spinning System

Click For Summary
SUMMARY

The discussion focuses on modeling a ball and spinning beam system in MATLAB, emphasizing the need to account for centripetal force, which differentiates it from the traditional ball and beam control system. Participants recommend starting with a Simulink model of the standard ball and beam system and suggest using Lagrange's equations for deriving the equations of motion. The importance of creating a kinematics diagram is highlighted, with references to existing models and diagrams provided for guidance. The conversation underscores the necessity of understanding kinematics and dynamics in this context.

PREREQUISITES
  • Familiarity with MATLAB and Simulink
  • Understanding of Lagrange's equations
  • Knowledge of kinematics and dynamics principles
  • Concept of centripetal force in rotational systems
NEXT STEPS
  • Research how to implement Lagrange's equations in MATLAB
  • Explore existing Simulink models of the ball and beam control system
  • Study kinematic diagrams specific to rotating systems
  • Investigate the effects of centripetal force on system dynamics
USEFUL FOR

Engineers, control system designers, and students in mechanical or aerospace engineering looking to model dynamic systems involving rotational motion and centripetal forces.

EngBoy
Messages
2
Reaction score
0
How should I go about modelling a ball and spinning beam system in matlab? It's similar to the ball and beam control system except the beam spins like a propeller so the control system has to account for the centripetal force.

Any reference papers?
 
Engineering news on Phys.org
Ever done a Simulink model of the ball and beam control system? If not, start there. In case you haven't done any work yet on this, you'll have to draw some sort of diagram and get your equations of motion and kinematics right. I would suggest using Lagrange for that. Give us some more details on the work you've done already and maybe we can help.
 
I believe I have found some Simulink models of the ball and beam control system and I've got them working in matlab. I'm working on the kinematics diagram of the ball and spinning beam system now but wouldn't it just be the same as the regular ball and beam system just with centripetal force? I'm not sure how to use Lagrange yet so I need to spend some time on it, but if I was going to start with the kinematic equations, I would use a diagram similar to this one right ?

https://www.fsb.unizg.hr/acg/ball_and_beam_model.html
or
http://www.control.lth.se/documents/2004/5736.pdf

And centripetal force would just be a force that is applied on the ball parallel to the beam but in the direction away from the center right?
 

Similar threads

Replies
4
Views
2K
Replies
24
Views
3K
Replies
2
Views
2K
  • · Replies 60 ·
3
Replies
60
Views
6K
  • · Replies 14 ·
Replies
14
Views
9K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 22 ·
Replies
22
Views
5K
Replies
1
Views
2K