Car shimmies over bumps

Out of balance tires, or tread wear, or you hit something that has miss aligned your front steering system.

have your front-end checked, could be bad strut, shock-absorber, worn bushing @ control-arm, not good, unsafe, this could cause that bumping noise you hear, seek repair ASAP. avoid pot holes ! good luck

Upper or lower ball joints bad.

I not sure if I fully understand your question. Are you asking should your car be bouncing more when you hit a bump or pot hole?

Well this is how struts and shocks are suppose to work: Struts and shocks are suppose to assist in providing a smooth ride, when you hit a bump or pot hole the struts and shocks absorb the force so you won't feel the full impact when driving. A good set of struts and shocks will eliminate excessive bouncing when driving or when you come across bumps and other mishaps in the road. So inconclusion if your car is not doing a whole lot of bouncing when you are driving that is a good thing, because that means your struts and shocks are doing their job and that means there is nothing wrong with them.

You could only need the Bump Stops that are rubber and prevent the shocks from hitting the chassis.

OR you may need shocks

OR just the strut bearing at the top of the strut if the struts are not leaking.

look at the rubber grommets and end rubber on the stabilizer bar .. also check the top of the strut tower (under hood). they sometimes rust out allowing some free motion and eventually complete failure .. look for even slight motion there when the car is rocked ..

This usually indicates a problem with the suspension components. Check for play in front end suspension, 1st thing I would check would be the steering damper, it's often overlooked, and could be the cause. If that checks out ok, jack up and check for play in wheels, which could be caused by worn ball joints, tie rod ends, wheel bearings. A lot of possibilities, generally play in any components can trigger the shaking you're experiencing when hitting a pot hole or bump. Good luck!

Check the fan motor, it is probably going out. Next time it should be running but is not, tap on the fan motor lightly and it may start. If it does, then replace the motor.