Quote:
Originally Posted by Shankenstein
This IS state-space. People like to use that term to indicate magic.
Variables take specific states, which interact based on a set of differential equations (some complex some simple).
What are your states? You can consider either the ground or the car body to be fixed... it's just perspective (although it matters that you pick one and stick with it). We care about tire deflection (x) and shock displacement (y). Thus the states are:
Q =
[ x ]
[ y ]
[ x' ]
[ y' ]
[ x'' ]
[ y'' ]
Your state space matrix will have diagonal elements to define the derivatives:
Q' =
[ 0 0 1 0 0 0 ] * Q
[ 0 0 0 1 0 0 ]
[ 0 0 0 0 1 0 ]
[ 0 0 0 0 0 1 ]
[ 0 0 0 0 0 0 ]
[ 0 0 0 0 0 0 ]
You can fill in the rest of the elements using the force balance equations in any level of complication you desire... but stiffness and damping components will appear, scaled by mass.
Solving the state space version is the same as solving the diff-eq version is the same as solving the numerical version. I'm sure you know all this, but it's good to lay it out there for the forum to glance over.
Good luck with the Master's btw. Where are you planning to go to school (or are already there)?
|
I am
literally the worst at controls. It doesn't help my controls prof got canned the semester after I had him since he didn't pass his reviews. I passed that class by the skin of my teeth. As for matrix math, I blame dyslexia... which I don't have...
I've been accepted to Cranfield University's Advanced Motorsports Engineering program in England. I was also accepted to Oxford-Brookes Masters in Motorsports Engineering, also in England, but I turned down their offer in favor of Cranfield. I may defer though...
Quote:
Originally Posted by SubieNate
@ Shankenstein @ EarlQHan @ plucas
I have a copy of Matlab and I'm a relatively decent (if rusty) coder. If we want to collaboratively use it as a tool to model our suspension mathematically I'd be more than happy to help.
Cheers
Nathan |
I'd be game. Nathan, I'm also going to shoot you a PM about composites...