A screening system having a resiliently mounted frame with a screen extending thereacross. The frame is vibrated by a low frequency vibratory drive using eccentric weights. About the peripheral frame of the screen, a high frequency drive or drives is employed to vibrate the screen in the range of 20,000 Hz. The high frequency vibration is generated at the peripheral frame about the screen. The screen is responsive to the high frequency vibrations in a plate-like manner rather than as a membrane.