Dear Brian, Jerry, Loren, Brian, and mid-60s Buick electricians who are handy with modern cars as well,
Have you tried your local Chevy Dealer?
I didn't have a chance to do that, but I made a quick check at an online dealer and got an unpleasant sticker shock. Here is their listing for that bulb:
https://www.gmpartsonline.net/oem-parts/gm-headlamp-bulb-19257058/I purchased new headlight housings from this outfit and they had the Philips bulbs I bought from Amazon. If I go to a dealer, I think I'll end up with the same product but perhaps pay as much as double. Unless GM really gets better bulbs than what Philips sells through other retail channels, that's only a waste of money.
I would also check the voltage on the car when running. If the regulator on the alternator has malfunctioned and the voltage is running high, that could cause pre-mature bulb failure as well.
I did check the voltage and the regulator looks okay.
A less than perfect ground will speed up the demise of halogen bulbs. Had a similar problem on Gail's Saab 93.
I would have to take the housings apart to check on this but this could be a factor. The ground is I believe to the chassis and therefore depends on those worn mounting points. Unfortunately that's why I'm reluctant to take the housings apart since I don't have a bright idea how to fix the worn mounting plate.
I will throw this out there. We also experienced what I considered premature headlamp bulb failure with one of our newer vehicles. It was a 2009 Hyundai .
. . . .
Thanks for the suggestion but the Chevy Cobalt has electronics that controls the headlights completely. Under normal conditions the car decides when it is dark enough to use the headlights and the same electronics keeps the headlights on even after the engine has been turned out to allow you exit the car move away before turning off the headlights.
I don't think this affects the life of the headlight bulbs. Our 2000 Buick Century has the same functionality and she still has the original factory bulbs after over 18 years! It is hard on the battery though.
This may sound odd but do you touch the glass portion of the bulb when putting them in?
Thanks for the warning, but I was also aware of this and I was extremely careful not to touch the glass of the bulbs. Installing headlight bulbs isn't as simple as most people realize!
I'm going to continue looking into this, but it sure is a dizzying problem. This car uses standard 9007 bulbs that are manufactured by many companies. For example, this bulb from Hella is supposed to be brighter and have double the life of typical bulbs:
https://www.amazon.com/HELLA-H83300102-9007-High-Performance/dp/B00O616P4E/There are even LED conversion kits from a number of companies! So what are you supposed to choose!
Oh well, stay tuned as this one is likely to turn into another soap opera of sorts . . . .
Oh well, . . . . Edouard