A rotary bonding apparatus includes a rotatable drum and one or more bonding elements, for example, ultrasonic horn and anvil assemblies, which rotate with the drum. The drum includes a web-supporting surface, and web material which is to be bonded rotates with the drum. The web material is positioned between the bonding elements and the web and bonding elements rotate at the same velocity so that the bonding elements are stationary relative to the web being bonded.