Ultrasound knife

Would it be possible to improve the cutting effectiveness of knives (and other cutting implements) by vibrating them with ultrasound? Potentially a range of ultrasonic frequencies could be used to find the optimum for the material being cut. The knife would be an ultrasound emitted build into it, together with a battery. A set of knives could sit on a charging station (ideally wireless charging so the knives could be sealed units).