What would cause my dash to "ding" and say something about my stability and my front passenger tire to lock up on me when I hit a bump in my 2005 Chevy Avalanche?

Jack the front wheels and check for looseness wheel bearings ,ball joints etc.if they are ok dismantle and check.

something called aVDC system should be the culprit, it is a form of electronic stability control. Essentially a sensor . There should be reference to it in the owners manuslsystem that keeps an eye on vehicle stability/safety

Common for front stabilizer bar bushing and links.might be a good idea to get front end checked out, they have been known for breaking strut springs ehich could cause front tire blow out

This is a very typical issue on lifted vehicles being driven on the street. It is important to know that when a vehicle is lifted, the steering and suspension geometry change and characteristics will change as well.
My first concern would be with front wheel alignment. If front caster angles are too severe, the will fight each other over rough surfaces and cause the truck to wander or feel like a shake.
Also, front toe angles are crucial for proper tire wear and stability.
Have the front end aligned and checked. If there are no alignment issues, focus on the shocks and that steering stabilizer. Was the problem there before you installed the stabilizer? If not, check it for proper oil/ gas charge.
Weak or worn shocks will cause the tires to bounce and leave the road over bumps. Since the truck and been lifted, make sure the shocks are the proper length. If they are too short (even by as little as 20mm), they cause rebound problems and make the opposing side overcompensate with a bouncing effect.

perhaps a leaked out shock absorber....you might see an oily film on the lower half of the shock.....simplest place to start. If not that, then the front end should be checked for worn or broken component

It could be either the tie rods holding your front tires in /out, or it could be bad front springs and/or a U joint. However, one thing I've noticed in all my cars is that sometimes the most obvious fix is the easiest overlooked. Check the shape of your tires. if you have bad front tires everytime you hit a batch patch of road it may feel as if the damn steering wheel wants to bust out of your hands. This used to happen in my 2001 tahoe when I first bought it used. (Probably why I got such a killer deal in fact). I simply put on four new tires and the thing runs like it just came off the sales lot (Its a beauty too). Good Luck

Check the 2 contacts on the passenger sliding door. If the door is out of adjustment they will have poor contact and a bump will jar it and turn on the light and chime. Make sure the side door closes securely.

See if you can bounce car and replicate the noise. If you can, you should be able to find it, and put your hand on it. Stabilizer bushing are a place to look, both at the lower a arm and on the frame. If you narrow it down to the strut, it will need to be replaced. The front trans mount also goes bad, try putting it in drive with your foot on the brake and give it some gas and see if the engine moves an excessive amount.

The bumps do initiate the shaking. When my 2006 Ram 2500 4x4 started shaking, I had just had it aligned that morning. A month or so before that alignment, my passenger side outer tie-rod broke while driving down a rock road. I replaced it with a heavy duty MOOG tie-rod end. Anyway, the same day I had it aligned I was driving back home from a job and towing my bobcat behind me. I hit a bump and the truck did the "death wobble" with the front end shaking violently up and down in an alternating fashion (one tire in the air while one tire on the ground and then vice-versa). I changed the tires first (which were worn-out 305/75/17 mud tires). Since the day I bought the truck new in Jan. 2006, I've had larger tires on the truck than the tiny 235/75/17s that came with it and I've done a lot of heavy towing with it and never had a problem until this alignment was done at Sears. I;m still trying to figure out if it was the alignment specs that they used or if the problem coincidentally started that same day. I also changed the steering stabilizer. Neither the new tires nor the stabilizer/damper helped the problem. So I changed the other outer tie-rod end and the upper and lower ball joints (all MOOG with grease fittings). I turns out they were worn out. So, the truck no longer shakes violently up and down when I hit a bump. That problem seems to be in check. However, now when I hit a bump the truck's front end wobbles side-to-side. I can do a few things to recover from it. I can hit the brakes pretty hard and sudden (which can cause an accident on the interstate), or I can **** the steering wheel side-to-side a few times (from 10 o'clock to 2 o'clock) and that stops it immediately...until the next bump in the road. Also, if I let my foot off the accelerator just before hitting a bump and let the truck coast over it instead of power through it, sometimes the truck will ride over the bump without incident. I found out yesterday on a 5 1/2 hour road trip that if I did 80 to 90 miles per hour and powered through every road blemish, the truck rode fine...no shaking at all. I suppose the high speed forces the tires to stay straight when they hit a bump. Lastly, to confuse my problem solving attempts further, sometimes the truck rides like a cadillac (for an hour or so) at regular speeds and no matter what bumps I hit. Then without worning, the front end will loosen up and get that sloppy feeling again and the wobbling comes back at every bump...until the next time it feels like tightening up and driving right again. I have no idea what to do now. I'm going back to Sears today to have them check their alignment. Other than that, all I can think of is to change the rest of the steering components and check the steering box for malfunction. I hope someone can help all of us Dodge owners out off of the road tested info that I've just provided. Dodge doesn't seem to care to address the problems with their trucks front ends, and we need a solution before people get hurt or die. I was almost run over by an 18-wheeler trying to figure out how to handle the shake. I can't afford to buy another truck. So I need to fix this one so I can keep working. If anybody has a concrete solution to these problems, please let us know. I've read 20 different opinions from mechanics on these blogs, but nobody has said yet that they fixed someone's truck with these problems and have since heard from that customer and everything is still working fine. Opinions are helpful sometimes, but they're also confusing when they're conflicting.

first off how many miles are on the car?does it only do it on bumps in the road?