Modeling Ball and Spinning System

AI Thread Summary
To model a ball and spinning beam system in MATLAB, it's essential to account for centripetal force, which affects the control dynamics. Starting with a ball and beam control system as a reference is recommended, and creating a kinematic diagram will help in deriving the equations of motion. Using Lagrange's method is suggested for formulating these equations, though some users may need to familiarize themselves with it first. Resources like existing Simulink models and kinematic diagrams can provide valuable insights. Properly integrating these elements will lead to a more accurate simulation of the system's behavior.
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?
 
I have Mass A being pulled vertically. I have Mass B on an incline that is pulling Mass A. There is a 2:1 pulley between them. The math I'm using is: FA = MA / 2 = ? t-force MB * SIN(of the incline degree) = ? If MB is greater then FA, it pulls FA up as MB moves down the incline. BUT... If I reverse the 2:1 pulley. Then the math changes to... FA = MA * 2 = ? t-force MB * SIN(of the incline degree) = ? If FA is greater then MB, it pulls MB up the incline as FA moves down. It's confusing...
Hi. I noticed that all electronic devices in my household that also tell time eventually lag behind, except the ones that get synchronized by radio signal or internet. Most of them are battery-powered, except my alarm clock (which runs slow as well). Why does none of them run too fast? Deliberate design (why)? Wrong temperature for quartz crystal? Decreasing battery voltage? Or just a coincidence?
Back
Top