Front end of my 87 jeep cherokee shakes bad when i hit a bump

it is stablize bar or steering box Heavy Duty Jeep Steering Stabilizer

Vibration from about 40-60 mph is usually attributed to wheel balancing, but the onset when you hit a bump seems to indicate play in the steering linkages (tie rods etc) or suspension members and stabiliser bar rubbers but you had that all checked out, that brings us back to the wheel balancing.

My friend, you have very serious wear in the front end of your vehicle as evidenced by the severe vibration when you hit a bump. The front end steering equipment in your Jeep is very complex requiring special tools and expertise to properly repair. Please get your 1995 Jeep looked at soon by a front end alignment specialty shop in your area. This is a very dangerous condition.

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have the struts checked

you are getting an oscillation .you need to put the front tires on the back and try it again as it could be bad tires.
if it is still the same,put the vehicle on a hoist and check the tire/rim play side to side and up and down.
turn the wheel and check for bearing noise.
common things are wheel balancing,tires,tie rod ends,worn axles and bearings.

Pitman arm and tie rod ends and bail joints.The three main causes of front end shake after hitting a bump.There's so much slop that when you hit a bump it shakes violently from one end of the slop to the other.Very dangerous!You need to get this fixed now!
Get someone to turn the steering wheel while holding onto a front wheel and just watch for stuff that moves.Turn left and right and you'll see what's the worst for wear.The connections at the steering box arm(Pitman) and at the wheels(Tie rods) will be what moves the worst.Hope this helps?Autozone has a kit for the pitman for $100,probably be $600 at a shop.

Have your front end checked,I believe you have small u-joints in your front axles and they go bad.I dont believe they can be greased.

Check wheel balance,
check steering linkages for loosness - such as tie rod ends, steering rack linkages etc,
check driveline for worn/loose joints and bearings.

I had the same problem and it was a small shock sitting horizontally called the steering stabalizer your something close to that. Eazy fix.

Jason

this is known as death wobble because it feels like you are going to die but slowing down will end it.

The cause for death wobble are:

1. Worn or loose tie rod ends on your steering linkage.
2. Worn or loose trackbar bushings or tie rod ends on the trackbar itself.
3. front end needs alignment.
4. and many others but the common reasons are listed above.

try to realign the front end. If it doesnt help, then you do indeed have worn steering / suspension components.