I have to respectfully disagree with the always-well-informed C K Dexter Haven on this one:
Seemingly-random phenomena certainly DO produce repetitive patterns in dynamic systems, man-made or natural. As Johnny L. A. noted, everyone knows that wind causes wave-like ripples in sand. Just a small-scale result of a temporarily-stable wind velocity on an almost closed system? Well, the Sahara desert has been studied in regard to this phenomenon, (looking for link to this; sorry for now) and investigators have noted that it happens on multiple scales simultaneously, from mere inches across between cycles, to hundreds of yards. In other words, at your feet is one small pattern of ripples, extending up the face of another, similar pattern MANY levels of scale larger–while these in turn are found in and amongst giant repeating dunes the size of houses, but which have nevertheless been formed with great wave-like regularity and with self-similar morphology. Wind direction and velocity might vary a bit–sometimes quite a bit, but the patterns still emerge, seemingly because of the rough similarity of the size and mass of the sand grains being displaced.
Apparently, the wind picks up each sand grain and carries it downwind a distance which. understandably, varies directly with the sand grain’s mass. Sand grains are fairly regular, so this distance is almost the same every time, let’s call it n-distance, for every grain moved. Very interestingly, the wind speed seems not to affect this relationship, if I remember correctly. A regular harmonic system so far, yes, but even so, why doesn’t a flat desert stay flat?
Understandably, all it takes is ONE disturbance to kick off a rippling pattern’s development, like a stick, or an animal carcass, or even a rogue sand grain too heavy for the wind to pick up. Sand builds up against or is deformed by the pertubation, and the grains which are highest are picked up by passing wind, and deposited n-distance away. More grains are blown into position against the original disturbance, taking their place and ultimately being lofted, again, n-distance away, essentially right on top of the grains displaced earlier. Meanwhile, all these new grains sitting downwind from the disturbance are now sticking up higher than the area where they were deposited. The wind picks them up again, and, you guessed it, deposits them another n-distance away, or 2n from the origin point. And so on, and so forth, forces conspiring to build up a repetitive, harmonic pattern which can flow across hundreds of miles, although we in temperate climes are used to seeing them in only short bursts, due to the disruption of the system and the intervention of streams, embankments, blah blah blah.
I apologize if everyone already knows the above, but I remember being fairly fascinated by it when I ran across the info some time back. In any case, it is for these reasons that I have some curiosity (and doubt) as to whether the culprit really is the harmonics of a car’s SUSPENSION packing down gravel in the formation of washboard roads. It could just as easily be that gravel is being kicked up by the passing cars and distributed “downwind” n-distance, with great harmonic regularity, just like sand grains, but with mass scaled up. and the resultant n-distance scaled down as a result. Gravel is very regularly graded, after all, so it doesn’t seem out of the question to submit it as an analogue to the Saharan sand system.
Anyway, a washboard could conceivably be generated by ONE very-hard-to-discern irregularity or “strange attractor” in the system. After all, it seems pretty hard to predict just where the rippling seems to promulgate from, apparently just popping up in the midst of fairly uniform stretches of gravel. But perhaps one tiny dip or groove kicks the whole gravel-distributing cascade into motion, and if so, that would happen whether cars had particularly harmonically-resonant suspension systems or not. Just my two cents.
Cheers to all you good people,
-Shawn