After recieving your initial Skyforge weapon from Eorlund, can you forge or purchas another?

You can forge Draugar weapons and armour once you complete the companions quest line, also you can buy weapons and armour from Eorlund.

You can buy it from the Eorlund. I personally think Nord Hero is better.

I haven't completed the Companions or MQ yet, but from what I've heard the Skyforge (and the ) act as normal forges for the player.

The Skyforge can make Nord Hero weapons and Draugr armor.

Nah, would be nice but I like the Nord Hero stuff as well.

Only problem for me is I hate the way Nord Hero gear looks. If I make a regular Steel Greatsword at the Skyforge, will it be a Skyforge Steel Greatsword and have the appropriate stats? If not, do I have the option of buying one now that I've already chosen the one handed sword during the Companions storyline?

Right, but I think he's asking if the weapons/armor will have the "Skyforge" tag on them. They don't ever get that, right?

Edited for usage.

You cannot craft 'Skyforge' grade weapons. You can only purchase them.
Nothing created at the Skyforge will get the skyforge badging or stats. Nothing.
Hope that's clear enough.

Note: You can craft Nord Hero weapons and Ancient Nord armor after completing the Companions questline...and only at the Skyforge.

You can buy the Skyforge stuff as soon as you are given your first weapon. They will be always be available in the smiths purchas invintory along with the wolf armor that you can only get from him. Even if you buy them all he will respawn more if you want more copies of each one.

You have to buy it.