pic: Omni Design Trial

[Madison]

All other things being equal -- wheelbase, track width, coefficient of friction, etc. -- mecanum wheels and omniwheels function in exactly the same manner. There are no differences. They are mathematically identical.

George is entirely correct in his explanations. End of story.

[Nate Laverdure]

Originally Posted by M. Krass

George is entirely correct in his explanations. End of story.

Obama got Oprah, Huckabee got Chuck Norris, and George1902 got M. Krass.

[Fred Sayre]

Originally Posted by Nate Laverdure

Obama got Oprah, Huckabee got Chuck Norris, and George1902 got M. Krass.

So it is official, George gets the 08 nomination, congrats

[Fred Sayre]

Wait, so when you are rolling forward and there is a sideways force, where is that force coming from? It is the motors. You don't get the applied force for free.

[MrForbes]

Originally Posted by Fred Sayre

Wait, so when you are rolling forward and there is a sideways force, where is that force coming from? It is the motors. You don't get the applied force for free.

You can get an applied force for free, but you can't get that force applied through a distance for free....then it would be work. Sideways force with no sideways velocity = no energy expended, and no work done, in that direction.

At least that's my understanding of physics. I could be wrong.

edit--think about walking...where's the force? where's the work getting done? where's the velocity?

[GUI]

Originally Posted by Fred Sayre

Wait, so when you are rolling forward and there is a sideways force, where is that force coming from? It is the motors. You don't get the applied force for free.

Some of the motors force is used by the wheel trying to move sideways, but the rollers aren't actually turning, so all of the wheel's velocity is transferred to the ground.
The difference between mecanum and omni-wheel based holonomic is that on an omni system the wheels actually do move sideways when driving forward, while on a mecanum setup they don't.

[Madison]

Originally Posted by GUI

Some of the motors force is used by the wheel trying to move sideways, but the rollers aren't actually turning, so all of the wheel's velocity is transferred to the ground.
The difference between mecanum and omni-wheel based holonomic is that on an omni system the wheels actually do move sideways when driving forward, while on a mecanum setup they don't.

The difference you're observing may simply be a function of how much you've tightened the screws on the AndyMark mecanum wheels. We have had a functioning mecanum drive train for more than a year and I swear on my mother that the rollers turn while we're driving forward or backward or sideways or upways or downways or anyways at all.

You cannot transfer velocity to the ground. You can impart a force on the ground and the reaction to that force will make your robot move, but the Earth is a bit heavier than your robot and you're probably not having a significant effect at making it go faster or slower.

If the rollers are not turning, as you suggest, then the wheel is not trying to move sideways. If the wheel is not trying to move sideways (as it cannot possibly discern your intention or what the rest of the wheels are doing) it will not, under any circumstances, strafe. A roller that's not turning cannot magically impart a force sideways.

[MrForbes]

Originally Posted by M. Krass

If the rollers are not turning, as you suggest, then the wheel is not trying to move sideways. If the wheel is not trying to move sideways (as it cannot possibly discern your intention or what the rest of the wheels are doing) it will not, under any circumstances, strafe. A roller that's not turning cannot magically impart a force sideways.

And if you are moving straight ahead, the rollers can't roll. Even if they're loose.

It works both ways.

I'll paint half of each of the rollers and make a movie....

[Madison]

Originally Posted by squirrel

And if you are moving straight ahead, the rollers can't roll. Even if they're loose.

It works both ways.

I'll paint half of each of the rollers and make a movie....

What's the difference between a wheel rolling forward for the sake of going forward and a wheel rolling forward for the sake of strafing and how did you get your rollers to know the difference?

[MrForbes]

Originally Posted by M. Krass

What's the difference between a wheel rolling forward for the sake of going forward and a wheel rolling forward for the sake of strafing and how did you get your rollers to know the difference?

The only difference is that the rollers are rolling relative to the body of the wheel under the strafing condition, so there is "lost motion". In the straight ahead condition there is none, the drive system is quite efficient.

A wheel turning forward is going along the straightaway of the race track...a wheel strafing is going around a curve...usually we try to go as fast as we can on the straightaway, and we have to slow down for the curves. So, a mecanum drive is naturally suited to this game, while an omni drive is not, because it is wasting a lot of motor movement spinning the rollers on the wheels.

The rollers don't care at all. But you might care if you're trying to decide which drivetrain to use, and you are still considering both omni and mecanum holonomic drives.

[Alex.Norton]

The difference is in whether or not they're constrained and allowed to move forward by the motion of the bot. In a mecanum if it is moving forward the rollers won't turn because if they were the wheel would have a lateral velocity (different from force, there is a lateral force). On an omni when moving in the forward direction there is a lateral velocity so the rollers do turn.

However this means that in an ideal situation, when you have no friction in the bearings you will not see ANY difference between the two. You may see a slight difference in top speed because of the angle on the wheels but you will see absolutly no difference in power since no power is used up in heating the bearings.

In the real world you will see that in the forward direction since the mecanum rollers aren't turning there will be a slightly better efficiency and more power will get to the floor, but I would be willing to bet that you couldn't measure the difference cause when your talking about a 321 watt motor, the amount lost to the bearings is inconsiquecial.

[Fred Sayre]

Though incredibly versatile, the standard Mecanum wheel has an unfortunate side effect which reduces its effeciency considerably. Its wide range of mobility is due to the fact that the peripheral rollers translate a portion of the motor force into a force perpendicular or at an angle to that produced by the motor. This means that are large portion of the force in one direction is lost through the translation into a resulting force by the rollers.
...
Losses of effeciency when traveling in a straight line are due to energy lost in a direction normal to that of travel through the peripheral rollers which bleed off available energy as they rotate.



From http://www.araa.asn.au/acra/acra2002...eter-Tlale.pdf

[MrForbes]

Thanks for the explanation, Alex.

[George1902]

Originally Posted by Fred Sayre

From http://www.araa.asn.au/acra/acra2002...eter-Tlale.pdf

Thank you, Fred. I don't know why I didn't think of quoting that paper earlier.

For anyone who's really interested in finding out all the science behind how a mecanum works, that paper is an excellent read.

I remember when I first came across that paper. I went to all of my friends saying, "See!? This is what I've been talking about!"

[MrForbes]

Thanks for the explanation, Fred. We now know that the maximum force that can be transmitted by a mecanum wheel in the forward direction is not as high as with a regular wheel. How does this affect the power transmission? Is there more frictional loss because of the side pointing vector? If so, how could I calculate that?

Also, what about the speed? If the rollers are not rotating relative to the wheel body as in straight ahead driving, is the full speed of the motor applied by the wheels?



The paper is interesting, but doesn't offer any explanation...it seems to be mostly selling the new design.....it would be nice if it had even a little bit of actual theory, and really nice if it had some empirical data to back up the claims.