Turbine blade tip shroud with axially offset cutter teeth, and related surface profiles and method

A method of modifying a turbine blade tip shroud, the method comprising:

• removing a first cutter tooth extending from a selected side of an upstream side and a downstream side of a tip rail of the turbine blade tip shroud, the first cutter tooth opposing a second cutter tooth extending from the tip rail from the other side of the upstream side and the downstream side of the tip rail, wherein the first cutter tooth and the second cutter tooth are adjacent a leading edge of a body of the turbine blade tip shroud, and wherein the second cutter tooth remains adjacent the leading edge of the body of the turbine blade tip shroud;
• and
• forming a third cutter tooth on the selected side of the upstream side and the downstream side of the tip rail at a position axially distant from the second cutter tooth such that an axial distance from a rearward axial end of the second cutter tooth to a forward axial end of the third cutter tooth is at least 30% of an axial length of the tip rail, wherein the forming of the third cutter tooth occurs after the removing of the first cutter tooth, such that the turbine blade tip shroud, as modified, includes the third cutter tooth on the selected side of the tip rail and the second cutter tooth on the other side of the tip rail opposite the selected side.