[Howman]

Using a DC solenoid in place of an AC one is problematic because it lacks the shading coil and/or light spring needed to maintain the armature's position as the AC current crosses zero every half cycle. The DC solenoid being driven with an AC voltage may not open completely, or if it does it will begin to close as soon as the current gets close to zero, hence the chattering.
On the other hand, supplying 24VDC voltage to a 24VAC solenoid is perfectly ok.