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The enduring mystery of corrugated roads

Driving in New Zealand takes a bit of getting used to. For a start, other than the sparse network of state highways that link the main towns, there are no real roads. Sometimes it’s possible you’ll have to drive a long, roundabout route to get to a destination that’s geographically quite nearby (Milford Sound and Queenstown, for example, are about 70km apart as the crow flies, which translates into a 286km drive).

Along with this, after a couple of days driving you realise that it’s useful to double the amount of time that you might have naturally alloted to get through that long drive. A road may look like a straight line of the map, but the more remote stretches are probably going to be creeping up and down the side of a mountain range, or winding along a narrow coast road or cliff face. All of which is great, that’s why you’re there after all, and you can also take for granted that the views are going to be astonishing. But vast — vast — areas of the country are unserviced, so if there’s somewhere in particular that you really want to go, you might have no choice but to go offroad, or at least onto dirt roads.

Head north from Wairoa towards Lake Waikaremoana and the sealed asphalt quickly gives way to a dirt road. The road is generally clear and dry, and wide enough for two cars to pass comfortably, and the surface is covered with a packed gravel dirt. The thing that makes the roads so difficult to drive on though, is the corrugated surface. Across the width of the road, perpendicular to the direction the road is traveling, are small waves in the surface, like tiny regular speedbumps about an inch tall, right next to each other. The pattern doesn’t seem to change at different stages, remaining consistent for dozens of kilometers of dirt road. And apparently this happens everywhere.

Corrugated road

Image: Washboard road study, University of Cambridge.

Although it’s a commonly known phenomenon, nobody in our van seemed to know what causes the corrugation. We ventured a few guesses (it was a long journey), but none seemed entirely plausible:

Consensus eluded us. Vague guesswork and wild conjecture had failed to deliver the goods yet again. Research time!

Luckily most of the legwork on this one had already been done by one Keith B. Mather of the University of Melbourne, as published in the January 1963 issue of Scientific American. Mather created a controlled laboratory apparatus that allowed him to test the effects of a tyre on a dust road in a number of simulated environments (here’s a video of a similar experiment carried out just last year in the University of Toronto), and cracked it:

It’s based on the fact that you can never make a road perfectly smooth. There will always be tiny little bumps. Once his wheel got up to about 6-7 kph, it would bounce up when it hit a tiny bump. As the wheel came down and hit the sand, it would spray sand both forwards and sideways off the track, leaving behind a little crater. This crater would then be the valley of a corrugation. As the wheel came up out of the valley, it would jump into the air again, and so the pattern of valley-and-mountain would repeat itself.

Making corrugations is a two-stage process – first the corrugations establish a stable pattern, and then they spread along the road.

Mather saw that the first few corrugations to appear on the “smooth” road were quite shallow, and very close to each other. But as the corrugations got deeper, they gradually moved away from each other, until their height and their distance apart had settled into a stable pattern. Once this stable pattern of corrugations was set up, then the entire pattern of corrugation would migrate down the road in the direction of travel of the wheel. In the Australian Outback, engineers have seen corrugations heading in opposite directions on each side of the road from (say) a cattle grid, with each set heading in the direction of travel of the cars.

Despite this apparent resolution, the details of the matter remains robustly debated and discussed. At the very least though, corrugation is in fact caused by tyres, and and is indeed a result of some mad particle-physics-level emergent property of the dirt. Who knew?

2 comments

  1. Thank you, I found this information very useful! Using your blog in my University assignment.

    Posted by Patrick, March 28th, 2010 at 12:36 pm

  2. I LOVE CORRUGATIONS ON ROADS ESPECIALLY TRAVELLING ON LONG JOURNEYS IN NAMIBIA.
    IMAGINE HOW BORING IT WOULD BE WITHOUT THEM -YA RIGHT!
    MY THOUGHTS ARE THAT THEY ARE CAUSED BY WHIRLING.A SHAFT SAY WITH WHEELS ATTACHED,WHIRLS OR VIBRATES LIKE A VIOLIN STRING,WHEN THE NUMBEROF REVOLUTIONS PER MINUTE AT WHICH THE SHAFT TURNS EQUALS THE NATURAL FREQUENCY OF THE PART.
    THE NATURAL FREQUENCY PART IS WHAT I DONT QUITE UNDERSTAND THOUGH.
    IF ANYBODY CAN THROW SOME LIGHT ON THE SUBJECT PLS EMAIL ME clint@silverbulletlighting.com

    Posted by SQUINT, November 27th, 2010 at 11:58 am

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