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Propulsion that does not involve driving wheels
Several threads discuss wheels, friction and traction.
I propose moving a robot around like a swamp boat. A 27" fan on each end, driven by 2 CIM motors each, with steering vanes, might allow for a far greater acceleration than wheels on the ground. You'd still have wheels of course - I am not proposing a hovercraft (or eels) - they would just be mounted as casters, with no function other than supporting the weight of the robot against the playing field. Two fans running in the same direction would push the robot. To slow down, reverse them both (no need to turn around). Run them both blowing outward, maybe you can blow moon rocks away from your trailer as the other alliance lobs them to try to score... Steering is a little bit poor however. For this, we use a horizontal reaction wheel (think bicycle wheel with a heavy rim, spinning parallel to the floor). Driven by two FP motors at about half speed (to allow speed headroom both faster and slower), you would slow it down quickly - conservation of momentum would cause the rest of the robot to spin in the opposite direction. The same effect would occur, but in the other direction, but sharply accelerating the wheel. the wheel would be brought back to idle speed somewhat slower than during a steering maneuver. An alternative to this would be a vertical flywheel (the axle would be horizontal) in the center of the robot which is turned opposite the direction you want to steer the robot. Gyroscopic effect would work to keep the wheel from moving, so the robot beneath it would move instead. This idea is not mine, I give credit to C J Reeves. Thoughts and comments on these ideas are requested, along with other ideas for propulsion not involving driving wheels. Don . |
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Don- were you in my back seat driving back from NH? Uncanny....
will the battery allow it? WC :cool: - tis the question |
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Anyway: The battery will certainly allow four 2.5" CIMs to be driven to near maximum output - our robot does that almost every year. Maybe we'll be near the limit after 2:20, but that also depends upon how it is driven. The real question is whether this will provide more propulsive force than 4 or 6 (or x) wheels on the graound, driven conventionally. Test results will be posted ASAP. |
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In '06 we were contemplating a robot with fans that would sit underneath the goal and attempt to blow the poof balls away. The poof had a bit too much mass, but in this application.... it will be interesting to see how much air movement is required to deflect an orbit ball.
Of course, once you've got the fans, you could also use them to suck air from underneath the robot to increase your traction. Safety is a concern, of course. Jason |
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Also, does it seem conceivable that you could have the fans blowing overtop of your trailer all the time to stop all/some balls from being scored? Does this seem like a cheat of the game?
Antoine Trabulsi Team 2609 |
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We were thinking of using a smaller high speed blower (leaf blower type) but decided that would not be safe because of the high air velocity.
Hopefully someone will build a swamp buggy on ice prototype soon |
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Mathematically, this concept is possible. You'd need some extremely high-volume fans (4000 cubic feet per minute for 50N), and as your trailer filled up you'd lose a lot of your propulsion. The size of the fan required rules out quick reverses, not to mention that the structure of your robot ahead of the fan would reduce its efficiency.
I'm not sure why you'd want your wheels undriven though. You might as well make use of the 26 newtons of frictional force that the wheels provide. There's no good reason to simply have them be casters when they can provide as much propulsion as a big fan. To see someone who ran the numbers, read drkiraco's post here |
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it might work but it would have to be very very powerful, which means heavy most of the time.... |
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we have begun to descus the options of a fan boat type effect, but u have to remember those huge fan boats have very poor acceleration on the water, and from what we saw in the kickoff video the robots could accelerate just with some slipping and stuff. the fan you would use on your robot would be even smaller, and probally have less power to work with you can only pull 40 amps at max. the fans ability seems doubtful to be any better than wheels.
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i was talking about this in another thread. see URL="http://www.chiefdelphi.com/forums/showthread.php?t=71037&page=8"]http://www.chiefdelphi.com/forums/showthread.php?t=71037&page=8[/url] well my idea for this is to mod a off the shelf floor fan (something with a protective cage) to use the CIMs to power the fan blades and then use servo turned fins to "guide" your air flow for steering. Then for your wheels you would just stick them on casters.
then for the power situation but if using my past experience becuse last year we where using 4 CIMS to move a robot (120lbs) on wheels with high friction/wieght and a pnuematic system. this drained most of our battery last year. but if we where to use only the fan idea it would be 1-4 CIMs moving at most 5 pounds of fan blades (im being very heavy). Then with no other major draw of power the batterys most likely won't have a problem with this type of drive train. |
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At Bongle, did the 26 Newtons of frictional force come from each wheel, or from all of the wheels together, and how heavy was the robot? Anyways, a mentor and I had the same idea of having fans blowing like in a swamp boat. We calculated that a battery with an 18AH life would be capable of holding out for the length of the match, with a bit of time left over.
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On blowing balls away from the trailer, could you use pneumatic tubing to direct the force and just dump pressure from a tank to create an air jet of some sort?
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hint: mini turbine-engine :D
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Also you could use a fan to blow above your robot to force it doen and increase traction but maybe thaat is a violation of the rules?
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Interesting idea...
Big fans.. Maybe. Depends on the coating and the weight of the robot. Seems conviecable but you'l have to work out the number of wheels (do we have to use wheels are can we use like little bearing things?) for the least friction... Why a big fan though? By not build a series of duct fans like on the Big RC Jets? Build a nice fat one or custom make a few by gearings the motor out and making it run 2-3 duct fans. That way you could direct the fans. You could either go for downforce or for power.... |
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You may be forced to use the 'rover wheels', but you could concievably create caster attachments for them.
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The instrument could be a bathroom scale or something simple like that, use it to push the robot with and without the fan running.
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I dont think FIRST would let a team have a large,SHARP!, spinning object on the robots, i mean they already get on us about the sharp corners.....
imagine what would happen if there was a collision, and the fan blade shattered and sent pieces flying everywere:ahh: |
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A fan in a cage is no more dangerous than an intricate chain system or some of the launchers we saw last year--at least in my opinion.
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shouldnt. ill see if i can get the team to use the scale for force measuring tomorrow, when we are back in the high school. |
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Why not the best of both worlds? Have two cims driving the wheels and two on a fan set up. You have the same driving characteristics of everyone else with an added speed and some handling boost. The wheels alone can brake so the fans dont have to be reversed.The fans can help turning a little and best of all help blow moon rocks away. If you really get fancy, you could come up with a herding system with the fans and blow them around on the ground like a leaf blower.
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I think RogerHebert is right that you can't use a big fan on top, but what about the idea of pointing a fan (kind of like a leaf blower) over the trailer to deflect balls? Is that legal?
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perhaps this is a question for the Q&A? |
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I'm pretty sure they'd rule that out as something with means to increase traction and therefore would be disqualified. Although adding lead weights on the top woulkd effectively be doing the same thing as far as interactions between the wheels and the surface so maybe there is an argument there.
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The fan on top pushing the robot down is definitly a question for the Q&A... While technically the fan would not be changing the traction, only the Normal Force, and thus the friction, it does get into the whole "lawering the rules" that is frowned apon. If they say we can do it in the Q&A then most certainly go crazy! But until then, it is kind of a dicey issue...
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First of all, there are a lot of great ideas here. Thanks, Don!
Second, the idea of using a fan for downforce (either blowing down from above or creating a partial vacuum below) is Q&A material, but here's my opinion anyway: I think it's legal, as it doesn't change the traction devices - the wheels - but improves their ability to grip. The last sentence in R06 is pretty clear on its intent: Quote:
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To SmurfGirl, I'm sorry, I did misinterpret you. I think using a fan vertically is still legal, but a little useless. Think of all the wasted space (if you wanted an efficient fan) and energy you would sacrifice! Why not just add weight bars!?
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A giant fan on top does not contact the ARENA, it's still the ROVER WHEELS. The other forms of traction are things other than the wheels that contact the ARENA. |
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I don't think that you could use a fan as an effective defense. The shape of the game piece does not make it very resistant to air. Its also kinda heavy, not that heavy, but heavy enough to make it hard to stop.
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Don, you are psychic. I hope to see lots of great and waaaay out of the norm ideas coming into play for this game. There may very well be some classy, Newton-era type devices on display this year.
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For those of you saying that a downforce would be legal:
I'm 99% sure that it's not legal. The wording in the rule is clear: if it increases traction, it's not legal. The idea is to increase the normal force, which increases available frictional force (not friction), which increases traction. That's increasing traction, which is illegal. The other 1% says to ask Q&A when it comes online and see what they say. |
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a prediction: true or false.
"the use of a fan to increase the downward force the robot exerts on the floor will not be allowed if it exceeds 120 lb force." you could weight or blow yourself downward up to 120 lb force. weight don't use batteries. But the idea of using fans for horizontal propulsion even though that sounds cool would be noisy beyond description. It would bring the discussion on OSHA noise levels to a whole new level. It would create havoc on the noise front. |
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i really wana see someone build a hovercraft or swamp boat :D
definitely going to be a great year i think it would be legal (vert or horiz fan orientation) but i think Q&A would be a great way to figure it out |
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I think the biggest problem with using a fan to propel a robot is safety. It takes a bit of work to get an FRC bot moving, and with a fan that sould mean moving as much air as possible as quickly as possible. This presents very real dangers to anyone near the field when debris on the field (or even a grain of sand) is blown into their face or body. It's a great idea, but too risky to everyone involved.
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Using a vacuum to create downforce, as long as nothing other than rover wheels are touching the ground should not be illegal or against the spirit of the rules. This would be an innovative solution as you would not be adding anything extra between the physical interaction of the ground and the robot, and as such would not be adding traction. Also the Cof is remaining the same no matter how much downward force is applied, the only thing changing is the normal force which is not friction.
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The biggest problem that arises with a slippery floor is the difficulty in precision maneuvering. Large fans or leaf blowers will allow for even less precision than the wheels, so it doesn't really solve anything (it would look cool, though). The only way to increase your stopping distance, turning radius, etc. is to increase your normal force without increasing your mass, as the post above describes. Other than that, your pretty much stuck with the oil slick.
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Assuming traction and friction to be synonyms, then anything designed to increase normal force is illegal. Friction is the product of the coefficient of friction and the normal force, so increasing either coefficient of friction (explicitly prohibited by wheel requirements) or increasing normal force will increase traction, which is in violation of R06.
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The rule specifically describes ways to change the coefficient of friction like putting rubber on the tires, not changing the normal force. Coefficient of friction is different than friction.
Besides, the only way I can think to change normal force without changing mass is a large fan, which would be impractical and be more pain than its worth. |
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hey you can always wear the wheels in such a pattern that it would be really rough and grippy or ad a chemical that would do that
and for propulsion i have three words pneumatic rocket boosters |
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If you don't like how that affects your shooting/tracking/&c., mount ballast (or your batteries, or your control system) on a piston inside your robot and wiggle that up and down to the same effect. An idea that came over from another thread: an imbalanced two-wheel design. If CoG is forward of wheels so that the trailer (through the hitch) is effectively holding down the back of the robot, then you'll have a higher F_n than solely due to robot weight. |
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Have you considered the safety factor of having a fan powerful enough to propel a ~150 pound robot faster than the wheels can? That's going to be quite a lot of wind. Considering that people are usually standing pretty close to the arena, I could easily imagine someone who is already off balance being pushed over and getting hurt by that. Same with light, unsecured equipment, or maybe tablecloths, barriers, etc. that can easily be blown up or away. And that's ignoring the damage that smaller things kicked up by the fan, or even worse, accidentally fed into the fan could do. It's not something I'd want to risk betting on at this point, lest it violate <S01>. I would wait until the Q&A clears things up.
Not to mention, I doubt that the crowd will appreciate being blown upon. Just a thought. |
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no im saying those wheels have a concave surface so you make you grind out as much of it as you can
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no grinding is one thing practicing all everyday with that set of wheels for three weeks is another thing im just saying use the most worn out set of wheels that you have it will give you an edge
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Too bad. |
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Using the said fan idea is nice, but you would need a skirt to keep an air pillow between the robot and the ground, and to contain the air. This is how current hovercrafts work, and it would provide you with good steering, and manuveurablity, but horrible friction one bump and you would go flying seeing as you have nearly no contact with the ground. Not to mention that you will have trouble picking up balls off the ground, and your skirt will need to be lower then the bumper zone so you can have regulation bumpers.
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Don't try that on my field - I'll have you reinspected.
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my team is not competing this year so of course i won't try it, besides i was just kidding that would be against the spirit of the rule i mean its obvious that what im proposing is illegal |
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Seriouslly... You have proposed numerable illegal and unethical measures to increase traction. It really isn't funny and appropriate after the 4th time. Although you might not be serious, what happens if a rookie sees this and thinks that this thinking is acceptable in FIRST?
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The 45* would also give some forward movement and traction, but how much and how useful it is, is uncertain. My question is (haven't read the rules yet), is it legal to deflect the balls like that? |
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So while this vertical force is most likely not allowed, the arguement for horizontal forces is not as simple, unless you could argue that it's not perfectly horizontal ... a sneaky team might try to offset their swampboat's thruster to provide a small downforce. I'm guessing that they'll refine the rules to include phrases that say that the wheels must be the locomotive force of the 'bot. |
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This thread is way off topic. The main idea was to drive a robot with horizontal fans. Someone mentioned a vertical fan to increase traction and now everyone is arguing about that. IMHO a hybrid driven wheel and propulsion fan drive system is most defiantly legal and has some interesting advantages.
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<R06>"No other forms of traction devices (wheels, tracks, legs, or other devices intended to provide traction) are permitted Increasing downforce does not provide traction. I know this is a semantics argument, but I think the rules are very carefully worded. Traction is provided by whatever contacts the ground. If it doesn't contact the ground, it cannot provide traction. |
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I think the "fan as downforce" concept is fundamentally flawed, anyway.
So you take a fan producing x newtons. -If pointed horizontally, it could accelerate or decelerate your robot to the tune of x newtons -If pointed vertically, it generates x newtons of downforce, which increases the amount of friction you get by 0.05 * x (mu * normal force increase). This is far less useful than a horizontal fan. |
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I agree with Bongle that using a fans pushing down to increase downforce is a little silly. I don't think it's going to be illegal, however. The super strict readings of <R06> I'm seeing don't seem sensible to me. If you're saying the fan is illegal because it's increasing downforce and thus increasing traction.... Then wouldn't the entire robot be illegal because it's adding additional weight, increasing downforce, and adding traction? The rule specifically says that the intent is for there to be a "low-friction" dynamic. Not a "low-traction/pushing power" dynamic.
Anyways, back to the gyroscope, because I think it's brilliant, and I want someone to try it. I don't know that the appropriate way to use the gyro is as a stiff structure to turn against. It would certainly work, but the dynamics are going to be weird, and I don't know if it's the most efficient use of a gyroscope. Specifically about the dynamics, if you wind up the gyro to a good speed and then try to rotate against it, it's going to generate an overturning moment perpendicular to the axis of rotation of the gyro and the axis your robot is rotating about. Which is going to try to flip your robot front to back, side to side, or something, depending on the orientation of the gyro at any particular moment. (Cool, huh?) I think the better, if more complicated, use would be as a control moment gyroscope. If you remember the old science trick with a spinny chair and a bicycle wheel, you've got the basic idea. Here's some videos to jog memories just in case: Cornell Video Honeywell Video Using a control moment gyro is a little more complicated, as you'll need to keep track of the absolute angle of it, and try to keep it vertical, but the axis of rotation will always be the same relative to your robot's direction of travel, so the over-turning effects will be more predictable. It should really do a very good job of keeping you pointed in the proper direction. I'll have to do some math to work out just what sizes and speeds we'd be talking about to get a useful effect, but it's definitely something I'm seriously considering. |
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As I read through this post, I notice a number of discrepancies that alter some people's view points.
1) A rolling wheel has the same coefficient of friction as a static wheel, since as the wheel rolls, each part of the wheel stays in static alignment in respect to the piece of ground that it contacts. Therefore, the coefficient of friction provided by rolling, non-slipping wheels is .06. 2) By having a vertical fan pointing downwards, you simulate additional mass. This increases not traction, but weight. The mass of the robot stays the same, but the weight increases. 3) Unless your fans are a lot stronger than that I am imagining, the falloff for most air flow from the fans is quite sharp, reducing the potential for anyone being knocked over, or being hit by flying debris. Remember the inverse square law people. Thanks for listening to me. As you can see, I just finished a section on friction in my physics class. |
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<R06> ROBOTs must use ROVER WHEELS (as supplied in the 2009 Kit Of Parts and/or their equivalent as provided by the supplying vendor) to provide traction between the ROBOT and the ARENA. Any number of ROVER WHEELS may be used. The ROVER WHEELS must be used in a “normal” orientation (i.e. with the tread of the wheel in contact with the ground, with the axis of rotation parallel to the ground and penetrating the wheel hub). No other forms of traction devices (wheels, tracks, legs, or other devices intended to provide traction) are permitted. The surface tread of the ROVER WHEELS may not be modified except through normal wear-and-tear. Specifically, the addition of cleats, studs, carved treads, alterations to the wheel profile, high-traction surface treatments, adhesive coatings, abrasive materials, and/or other attachments are prohibited. The intent of this rule is that the ROVER WHEELS be used in as close to their “out of the box” condition as possible, to provide the intended low-friction dynamic performance during the game |
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Since we also know that traction is commonly used to refer to static friction/adhesive friction as opposed to kinetic friction/sliding friction, by the very definition of Rule <R06>, to add any sort of metal to the wheels is to increase the traction of the device, and thereby banned. Come January 7th, let us ask the Q and A, and see if indeed this approach is acceptable. |
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m*g*u=m*a gu=a So a robot that is 500lbs wheels will spinout like a robot that is 10lbs. Collisions are a different story, and my thought on that will be left between me and my team for now. |
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With the caveat that my proposal was to use fans horizontally to push air and move the robot and not to push downwards harder (since the effect would be somewhat, as Kevin puts it, silly) I have to say... If increasing the normal force is not legal, then your robot must weigh nothing, since adding ANY weight at all increases the normal force. Clearly, we are allowed robots that weight something... Put another way: There is no difference between adding a 20 pound weight atop a 100 pound robot and adding a fan pushing downwards with 20 pounds of force atop a 100 pound robot. Both "increase traction" by modifying the normal force. And if it is legal on that 100 pound robot, then it is perfectly legal on a 120 pound robot, since the rules define (and inspectors measure) a specific robot weight, not a specific downforce. I hope someone asks Q&A, because I find the whole discussion silly (and will eat crow if wrong), but can also assure you that this is not a consideration for our robot. What we are considering is wheels aided by fans. After all, what would you do with an extra 50% (or so) maneuverability??? |
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Actually, a 500 lb robot will get more frictional force, but on the same account will have a larger inertia, thus retarding it's acceleration. By simulating an increase weight, you will increase the frictional force, but leave the inertia alone, thereby allowing you to accelerate at a faster rate.
120 lb robot will generate roughly 32 Newtons of frictional force, which will then give it an acceleration of .58 m/s^2. A 120 lb robot with an additional 10 Newtons(120 lb is roughly 534 N) will generate roughly 32.5 Newtons of frictional force, which, when related in the F=MA equation, will give you an acceleration of roughly .6 m/s^2. As you can see, this is a very small increase, only leading to about 0.3 m/s or so of end velocity at the end of the run of the entire 54 ft/ 16.5 m. To make this effective, a comparable amount of pressure must be induced to allow a robot to perform significantly better. In a collision, the robot that has the higher rate of speed in this game will probably win out, and because of the low coefficient of friction, the collisions will very likely be semi-eliastic. As to the original post, my personal leaf blower can exert about 10 N when in contact with concrete. I have a feeling that the team with the best manuvability will have a nice system to direct airflow, and power the wheels |
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Frictional force = mu*N, where N = m*g, where g= 9.8 m/s^2= the gravitational constant acceleration You're saying that m*a=mu*m*g, right? m cancels out, leaving a=mu*g. However, the g has been increased by using a fan or something to add downwards force! Guess what? a must increase! And lbs are NOT a unit of mass, they are a unit of force, which is computed by m*g. Increase g and you increase the force. Let's look at your scenario: 500 lbs=32f/s^2*x slugs (slug being the English system's unit of mass) 10 lbs =32 f/s^2*y slugs you are saying that 32f/s^2 * x slugs = 32f/s^2 * y slugs. Cancel out 32f/s^2 and you get x slugs = y slugs. Cancel out the units and x = y. However, because 500/32 = x slugs and 10/32 = y slugs, you get 500/32=10/32, which simplifies to 500=10. This isn't true, is it? |
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Again, I have no problem with adding stuff up to the limit; I have a problem with using some of that to go beyond the limit. |
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I really hate this idea. I don't see how it is practical. Also, I feel like acting against a hit would be a problem. If you get hit while you are maneuvering into position to score, with wheel power you have at least some chance of repositioning yourself. You are using the small amount of traction you can get to your advantage, which is not something I would throw away. With a hovercraft like propulsion, I think the ability to counter-act this is much harder. Not to mention the power requirements, though like Don said, the batteries can run the CIMS at full power for a while. HOWEVER, I think it could be a viable design if you are focusing your robot on only keeping your robot moving and keeping the opposing alliance from scoring, since being hit will send you flying away. |
Triple Bonus?
You can't use fans on the moon since there is almost no atmosphere on the moon. If the goal of the game is to simulate a moon environment, wouldn't it be going against the theme of the competition to use fans?
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![]() m*a=u*m*g becomes a=u*g therefore mass does not matter, now if you are useing downdraft gas then the "mass" part of Fn will not equal the mass of the robot. But that is not what I was talking about. Watch your equations. |
Re: Propulsion that does not involve driving wheels
As a long time participant in FIRST (10 years) I think a few of you are "reverse lawyering" the rule about traction. To me it is pretty clear that the intent of that rule is just what most think, the rover wheels are the ONLY thing that can act against the floor to provide motive force. They actually mention legs, other wheels, etc. I think that a robot with a fan would be a great idea, and something I would look into the feasibility of. I am sure this will be settled soon via the Q and A. What you are talking about doing is done in all motor sports (cars anyway) the car uses down force generated from the aerodynamics of the vehicle to provide extra normal force, and the end result is more traction. If it were properly designed, and guarded I would have no problems with a robot that had normal force increasing devices, but be ready for a lengthy inspection, and have your engineering numbers ready if you designed it yourself, or the data sheet of the fan from the mfg.
To go ahead and comment on various other posts ideas, and take these as you will... WORN WHEELS If a team came in with worn in wheels I dont see a problem, It is the same as a team that has run in a previous regional and not changed their wheels, If you are going to say that you cannot have worn wheels then you would need to make everyone change their wheels every few matches. However the manual does state that the profile of the wheel may not be modified. But one thing to ponder, if we assume these to be ideal surfaces, then the surface area of the contact patch doesn't matter. FANS FOR PROPULSION Dont think of a fan which is normally moving a relatively low volume of air and relatively low velocity. Think of a helicopter rotor, by using this you can get an off the shelf product, that has been tested to certain rpm limits, and the best part, instead of reversing the rotation of your "fan" you only have to change the collective pitch of the rotor blades, (done with a servo on model helicopters). I have not tested the numbers myself, however there are reports that a heli with a 27.6" rotor diameter was lifting itsself as well as generating 5lbs of upward force, this while consuming about 420W via a brushless motor. However you would need casters to turn if this was all you had, which could result in a wild ride when you had a collision. FAN FOR DOWNFORCE To me, a fan blowing up alone would help, however you would most likely see more of an effect if you were to use your fan to generate a low pressure area under the robot. The force in this case being pressure differential multiplied by the area of the robot under this low pressure. Assuming you could affect the entire underside of a full legal size robot with a lower pressure you would have 1064in^2 of area, with something this large, the differential would not have to be much to have a rather large increase in force. For instance a random fan mfg. I looked at quoted 50cfm at 2inches of water (.072PSI), this doesn't sound like much, but over the full area of the bottom of the a fore mentioned maximum dimension robot you would achieve an extra 76lb of downward force, assuming a 120lb robot and a coefF of .05 that would be 6lb of linear force before the blower, and another 3.8 if you could establish -2IWG of pressure under the robot meaning you get 63% more force if you can establish the low pressure. Take all of this with a grain of salt, plenty of off the cuff calculations there, and food for thought. I also think a good traction control system would be worth its weight in gold!!! |
Re: Propulsion that does not involve driving wheels
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Max frictional force = μ*N, N = the normal force. So far so good, right? N = m*g, where m = the mass of the object (robot) and g = either 9.8 m/s^2 or 32 f/s^2 depending on your system of measurement. Am I not correct? For the condition where nothing is slipping or about to slip, Ffs <= μ*N. When the object is about to slip, Ffs = μ*N. When the object slips, you get into Ffk, or the force of kinetic friction. I'm still correct in this, right? By your equations, you are assuming that the wheel is about to slip. That is, F=m*a (the standard force equation) == μ*N. But wait! Where, oh where, does Ffs come in? It is the force exerted by the static friction, so it is m*a also, I'm assuming. Please correct me if I am wrong here. Now, on to business. Ffs = m*a = μ*m*g, assuming a flat plane. I think this is quite reasonable considering the application and that you're about to slip your wheels. So, m cancels. a = μ*g. You are correct. The mass does not matter. HOWEVER: you add a fan using your available mass (which doesn't matter) which adds additional force going downwards, correct? mu is constant due to the rules, so we can set that aside. That leaves g and a. a = g. g is a component of the normal force, under N = m*g. The normal force is equal and opposite to the weight m*Ag , such that W (weight) + N = 0. So far so good, right? When you add the force Ffan going downwards (or upwards), you now have W + N + Ffan = 0. Ffan would be added to either W or N if the fan were pushing down, and you have W+Ffan = -N or N + Ffan = -W. Your full new equation, therefore, would read: m*a = μ*m*g + Ffan. (Frictional Force = Normal force times mu plus Fan force) Correct me if I am wrong here. Fan force is dependent on area and speed, is it not? There is not a mass component there, because it is already accounted for. So you can no longer divide out mass. (basic algebra) As for your other comment, YOU also need to watch your equations. Unless you can point out what is wrong with my response to your example of a 500 lb and a 10 lb robot, that stands. I could also run it in metric if I wanted to. |
Re: Propulsion that does not involve driving wheels
I noticed that the question was raised as to whether the 26 N was for each wheel or all combined. That's a physics answer I'll nab: it does not matter. Increased surface area does not affect the frictional force. Only normal force and the coefficient of friction affects. So, more wheels I believe will produce same friction output. I believe.
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Re: Propulsion that does not involve driving wheels
Let us get away from the mass of the robot times the gravity, and consider just the weight, since it comes in force measurements, and is much easier to calculate with. :)
Maximum Static Friction = Coefficient of Friction times the normal force/weight If you increase the normal force, either by adding more mass, or by applying force in the form of a downdraft caused by a fan, then the Maximum Static Friction becomes larger. That's Algebra. 0.06 * 10 < 0.06 * 20 Now wheels that roll without slipping should ideally roll without friction, but as we all know, that's false. Rolling friction equals coefficient of friction times the normal force. This coefficient can also be the same as the one used in the static friction. As the tread touching the ground is at rest relative to the ground this makes it true. If you can refute this, please point me to where you found this. I found all of my equations inside of Physics for Scientists and Engineers 5th edition, Extended Version page 118-127 |
Re: Propulsion that does not involve driving wheels
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Lets lay down some facts is u of static friction which FIRST has at 0.06 for static inline. the Fn is going to be mg asumming the robot is flat on the ground. 120 lb = 54.43 kg Fn = 54.43 * g Fn = 533.41 N now lets calculate the maximum frictional force that can be exerted by wheels before they slip on the surface (static friction as the wheel does not "leave the surface") Fu = Fn * u Fu = 533.41N * 0.06 = 32N now lets find out the maximum acceleration because we must be equal to or less then Fu. Fu = ma where a is the acceleration parallel to the surface 32 = 54.43 * a a = 0.58 m/s/s low lets try that with a robot at 10kg Fn = 10 * g =98N Fu = 98N * 0.06 = 5.88 N 5.8 = 10 * a a = 0.58 Now Lets try it with the equation that I derived a=u*g a = 0.06 * 9.8 = 0.58 m/s/s So with no wind propulsion which I said in my first response. mass does not mater in terms of acceleration. Quote:
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This is important to make clear as intuition for most people is wrong here. |
Re: Propulsion that does not involve driving wheels
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Re: Propulsion that does not involve driving wheels
Comphappy, I see where we really differ, now that you have explained where you and I differ. What you call "u" (the coefficient of friction) is normally hand-written as "μ", which is the Greek letter "mu". I used "mu" to designate this letter, while you use "u". I then used a "*" to designate multiplication.
I have edited my last post to reflect hand-written usage. Please go through again and tell me if I am still wrong. As for why metric matters, I am simply much more familiar with the mass/weight units in metric. I couldn't even tell you what the units for slugs (the English system version of kilograms) are. |
Re: Propulsion that does not involve driving wheels
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My team, (948) is currently dabbling in the possibilities of a fan helping to pull our robot down. As a rough estimate, we know that the base of our robot can be ~1000 in^2. If we can generate even .5 psi difference, that's an additional 500 pounds to "add" to our normal force. If we can get that is another question however, and one we are trying to answer. To help increase the potential of a fan's use, we thought that adding a skirt along the inside of the bumper that comes within a quarter inch of the ground could help to contain our "pseudo-vacuum". |
Re: Propulsion that does not involve driving wheels
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A fan or vacuum is not necessarily violating any rules, but when it is used to add traction (deliberately), then I would call intent and have it removed. |
Re: Propulsion that does not involve driving wheels
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Here I would say that traction is your coefficient of friction, (which is fixed by not tampering with the wheels or letting anything touch the ground) whereas the fan is affecting Normal Force. Yes the force of friction is changed, but not because of any change in traction. |
Re: Propulsion that does not involve driving wheels
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Re: Propulsion that does not involve driving wheels
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<R11> states that, At the start of, and during, the MATCH the ROBOT shall fit within the dimensions listed below: Maximum Width- 28 inches (71.12 cm) Maximum Depth- 38 inches (96.52 cm) Maximum Height- 60 inches (152.40 cm) Maximum Weight- 120 pounds (54.43 Kg) <R16> backs this by stating that, Once the MATCH has started, the ROBOT may assume a PLAYING CONFIGURATION that is different from the STARTING CONFIGURATION. The ROBOT must be designed such that the PLAYING CONFIGURATION of the ROBOT shall not exceed the dimensions specified in Rule <R11>. Weight is one of these stated dimensions, right?? I believe that if the same rule pertaining to this was still in effect from last year, then it would DEFINITELY be worth the shot...and if you will recall, last year's <R11> is the exact same, but <R16> varies by stating that once the MATCH has started, the ROBOT may assume a PLAYING CONFIGURATION that exceeds the size dimensions specified in Rule <R11>. While in the PLAYING CONFIGURATION, the ROBOT may expand up to a maximum horizontal dimension of 80 inches (e.g. all parts of the ROBOT must fit within an imaginary 80-inch-diameter upright cylinder). There are no height limits for a ROBOT in its PLAYING CONFIGURATION at any time after the start of the MATCH. With this being said, I would think that this wonderful concept has deemed itself invalid due to one simple fact- if at ANY MOMENT IN TIME you place scales under your machine and they read more than 120 lbs (excluding battery and bumpers of course), IT'S ILLEGAL! And if this concept were put into play and this isn't true? It's completely useless...Just bolt a piece of steel to it...it's much more energy efficient! ;) I hope that this is beneficial to all, and I'm wishing all of US some luck this season! |
Re: Propulsion that does not involve driving wheels
In last years competition, team 1771 used an extremely effective robot with a funnel and a fan at the end used to create a vacuum to pick up the game element. I've heard that they used two Fisher Price motors and a timing belt to achieve the fan's movement. I've also heard that it gave them 350 pounds of vacuum force, if you could apply that to your robot, you would be able to increase the normal force from 120 pounds to probably around 420 pounds under best conditions possible. Though, that's being very kind to the suction.
That said, this idea is still is testing, our team might try working on a prototype just to see if it is possible, but if it is, I don't see why judges would disqualify us. The fan would still be bulky, and suck up a large amount of our battery life, two possibly life killing consequences. Heres a link to 1771's impressive robot on youtube. http://www.youtube.com/watch?v=QeQSGmFnKAE |
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120 lb Robot 60 lb Robot |
Re: Propulsion that does not involve driving wheels
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However, the Q&A could reject air-reaction concept for all purposes as being against the spirit of the game, since there is no air on the moon. |
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Re: Propulsion that does not involve driving wheels
One greatest mentor, Ralph, had the gyroscope/flywheel idea. And our head student builder, Josh, had the airboat idea. We actually built a prototype air boat and drove it in the pool.:D
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