Mildly related; Just got back from a road trip on a royal star venture, a 900 lb road barge, here's the story;
Got up in wyoming the third day and got chased over a pass by a cage, we were making GOOD time through the curves, then hit the freeway, hammer down 80MPH east from Buffalo, next services, Gillette about 65 miles. Part way, I started getting a hunting weave, a bit of experiment and it had negative stability, without intervention it would have gone bad. Slowed a bit to 70MPH and kept going all the way to Gillette, pulled off for gas and it was wobbling in the parking lot. The rear tire was near completely flat. Next gas station had air but it was on the rim in 5 minutes. Found a puncture in the tread, I carry a plug kit so 20 minutes later I was good to go. Ran 60 then 70 and soon was back up to 80 and ran the speed limit 1200 miles home. No more weave!