Posted by Dodd Stacy at 1/15/2001 2:01 PM EST
Engineer on team #95, Lebanon Robotics Team, from Lebanon High School and CRREL/CREARE.
In Reply to: Re:Tank Treads
Posted by Ted Jones on 1/15/2001 12:33 PM EST:
: Our team discussed tank treads vs. wheels this weekend, and I came to a realization. Since friction is relatively independent of surface area, it appears tank treads would not buy you much in this competition. Friction is based on the normal force (weight) multiplied by the static friction coeficient. The static friction coef. is based on the nature of the two materials that are interacting, in this case the wheel/tread and the low-pile carpet that is the playing field. So, if surface area is not a factor, then I don’t see how tank treads gain much over wheels in terms of maximizing traction. So why does the US Army have tank treads? Because Army tanks are designed to drive over soft, unprepared surfaces. The tread distributes the vehicles weight over a larger area, which deforms the ground less. This keeps the vehicle from getting bogged down in the mud. Think of a car in the snow, or mud, or sand, essentially any soft surface. For the competition then, I can’t really justify using a tank tread system, unless you want to climb over obstacles that are lower than the top of tread. That, BTW, is another benefit of treads.
: Given the time we have to design/build/test/fix and ship, I would spend more time finding an optimum wheel treatment to maximize traction. I plan on having our team conduct some experiments using a wheelchair wheel, a known weight, and the sample carpet, to find experimentally the static friction coefficients of various configurations. Once the coef is found, you can estimate the maximum pulling power of your robot, given its weight and power available.
: Hope this helps,
: Ted
The traction limit, in the world of FIRST, is defined by the point at which carpet damage occurs. This is some combination of the maximum shear stress and the “sharpness” (on a very small scale) of the wheel or tread surface. If any “tufts” or carpet are observed on the floor after robot traffic, the FIRST officials will be scrutinizing the robots - I can assure you from experience - for telltale signs of carpet thread wound up around your axles or stuck to your wheels or treads.
I will also tell you that the “carpet damage test” that will be applied to your machine during tech inspection can be arbitrarary, unrealistically severe, and can disqualify your bot from competition - period. There is no way around this. My advice - from direct experience with aggressive wheels - is to take spares with you that are a notch or two less abrasive/aggressive, to expect very direct scrutiny during practise if your wheels/treads LOOK particularly aggressive, and to expect no slack in FIRST’s judgement re carpet damage. And never mind if there are other bots that make it in with much more aggressive carpet interface than yours - it’s not uniform, and tough for you.
So, classical physics may say that contact area doesn’t matter in determining frictional force, that it’s all in the static friction coefficient. And those of us who drive in the snow may know that small, narrow, “sharp” tires that exert high contact pressures are the key to traction in the winter. But treads or tracks with low contact stress and low surface shear stress in transmitting a fixed Friction Force = mu x Normal Force are easiest on the carpet and hence more likely to pass tech and not get flagged off the field.
This is a tough area and a classic issue of engineering balance. Good luck, and watch for fiber wisps on your machine as you get down to practising. And follow Andy Baker’s excellent advice to load up your running drive platform to full weight and drive it hard when you are looking for signs of carpet damage.
Dodd