I've recently had a problem develop with my 1999 Elantra. When I get above 60 mph the steering wheel starts to shake. It doesn't shake continually, but goes into a sequence of shaking for about 5 to 10 seconds and then smooths out to normal for 15 to 20 seconds before going back into the shaking sequence, alternating between shaking and smooth normal operation as long as I stay above 60 mph. I first thought the tires were out of balance, so I had them rebalanced, but the problem remains. The car has 128,000 miles on it. Is this a problem that is common with this model and what do I need to do to fix it? If this is not a common problem, what might be the cause and what will I need to check for repair or replacement? Thanks in advance for your help.