"While raging a barbarian cannot use any Charisma-, Dexterity-, or Intelligence-based skills (except for Balance, Escape Artist, Intimidate, and Ride), the Concentration skill, or any abilities that require patience or concentration, nor can he cast spells or activate magic items that require a command word, a spell trigger (such as a wand), or spell completion (such as a scroll) to function."
"Once per day per bard level, a bard can use his song or poetics to produce magical effects on those around him (Usually including himself, if desired)."
"Starting a bardic music effect is a standard action. Some bardic music requires concentration, which means the bard must take a standard action each round to maintain the ability."
Nothing conflicting (that I can see) in either description. Though it does say it is a magical effect and the rage description rules out a lot of magical abilities. You'd only be able to use the "Inspire" songs, which is no big deal since they're the combat ones.
If someone asked in my game though I'd probably try to argue it as No. Bardic music requires a number of ranks in perform to be able to use your music. If you can't make a perform check (Charisma-based skill) I'd say you can't use your music. It'd be hard to keep tempo and pitch while in a killing frenzy.