Buzzing Noise
WARNING: This page does not describe the selected car, but rather 11 other vehicles, including the 1996 Dodge Ram Wagon, 1996 Dodge Ram Van, 1996 Dodge Pickup, 1996 Dodge Dakota, and 1996 Dodge Cab & Chassis. However, it is still accessible from the selected car via links, so may be relevant.
Check for aerated fluid, defective overrunning clutch, low fluid level, valve body malfunction or leakage.