Abstract: Systems for ultrasonically welding described herein include a sonotrode for delivering ultrasonic vibrations to two or more plastic sheets, so as to form a weld between them. The sonotrode and the plastic sheets are arranged such that the ultrasonic vibrations delivered by the sonotrode travel along a path that is oriented at an angle ? with respect to a tangent to the surface being welded, wherein the angle ? is less than 90 degrees. Methods for ultrasonically welding described herein include providing two or more plastic sheets to be welded together and delivering ultrasonic vibrations to form a weld between them, such that the ultrasonic vibrations travel along a path that is oriented at an angle ? with respect to a tangent to the surface being welded, wherein the angle ? is less than 90 degrees.