Methods and equipment for producing shaped food products having large amplitudes, for example, sliced, shredded, and/or strip-cut food products. The methods and equipment utilize a cutting apparatus having at least two sequential knives at different radial positions in reference to radial distances of the sequential knives in radial directions of the cutting apparatus. Each sequential knife has a corrugated shape comprising peaks and valleys, and the sequential knives are arranged to be in phase or out of phase alignment with each other.