I took the liverty to post an answer since I feel I have enough information.
I'll be a bit brief here. Below is the rest of the information I
collected, and I believe the problem has to do with the composite
substance construction of the Airbus A300 rudder. It points to a
potential problem with the A320 series since they also use the same
composite materials for the rudder. This may also apply to the A380
rudder, which also used composites. I could not ascertain if the A340
series also uses a composite rudder, but it is mentioned in the
Wikipedia entry about the aircraft that there are some composite
primary structures. The Whyfiles page says that the wing has a lot of
composite material, and I don't know if the rudder also does. If you
know if the A340 rudder has composite material, you can probably guess
the likehood for its having the same problem as Flight 587 and Flight
JEC Group Website
14 Dec 2001 - United Airlines Finds Flaw in Airbus Plane Tail
Mentions possible flaw with A320 rudder as well.
Luchtzak Aviation | Forums | Latest aviation news | Another Airbus rudder problem??
COBRAE News on Plane Accidents (Adobe PDF)
USATODAY.com - NTSB investigators sound alarm on Airbus rudder - March 26, 2006
CBC News - Safety group makes urgent call for Airbus rudder
inspections - March 27, 2006
The Observer | International | What made an Airbus rudder snap in
mid-air? - March 13, 2005
- This also mentions the possibility that the Airbus A380 might suffer
the same problem, also having a composite tail fin.
Airbus rudder/tail problems? - Above Top Secret Conspiracy Community
Whyfiles: Designing with composites
Good explaination about how carbon fibers might fail.
Transportation Safety Board of Canada - Aviation Safety Recommendation A06-06
Report by the Canadian transport safefy agency about inpecting Airbus rudders.
Airbus A340 - Wikipedia, the free encyclopedia
I assume you're hoping to avoid these Airbus models in the future to
avoid the likelihood of being in the same kind of accident. However,
take note that the Boeing 737 also had a rudder valve problem, but the
problem was addressed. After all, the companies making these planes
will find errors and rectify them as best as they could. In my
opinion, I guess there's no avoiding it if it really is your time to
Google Search terms used:
airbus a320 rudder flaw
airbus a321 rudder flaw
airbus a346 rudder flaw
airbus composite rudder
airbus a340 rudder composition
airbus a340 rudder composite
I hope this was a good answer. If you need something clarified, or
have a problem with the answer, do please post a Request for
Clarification before rating and I'll come back to you as soon as I
can. Thank you.