When knocking pteranodons out, be sure to have a bola, it doesn't take many tranq arrows to knock it out. Once it is down, put spike walls up around it (with a little space so you can go in and out) so it doesn't lose taming efficiency or die.
To kill pretty much anything on these birds, tame a high level, then pump stam to 3k, then the remainder in melee. Barrel roll into alphas etc. But keep eye on Stam. Never regen Stan on ground, know your ledges!
Be sure you whistle (follow) when riding your tame. If you accedntly jump off or get saddle jacked off your bird, he will follow you to the ground and you will have a better chance to recover your tame.
First find the one u want wait till it's flying low or landed and bolo it take very few narcotics arrows to knock out if u hit in the head then defend and and feed whatever kind of meat u would like or dodo kibble for the best and fastest tame.
I will pass this on, as a kind soul in a forum saved me a high lvl ptera with this info. If ever they disappear on you, check way up in the sky above. Seriously, way up, you won't be able to see them from the ground.
I rarely pick anything else to kill with, nearly 300% damage and not much attacks from targets will land. My bird is packed on health stamina and damage. quite simply the best tame ive got by far plus it harvets fairly good amounts of meat.
These are the best flyers hands down. Tame the highest you can with best Melee and you can clear almost all the caves. I raise health, stamina and melee. My friends with args laughed at me when I beouhht my Ptera for a cave run, they stopped laughing quick and started to beg for eggs.