Shaft vibration damping system

A vibration damping system for use in rotating hollow bodies, comprising:

• a tubular outer shaft having a proximal and a distal end and defining a lumen therethrough;
• a tubular inner shaft having a proximal and a distal end, said inner shaft being configured and dimensioned to be received within said lumen of said outer shaft;
• a plurality of toroidal vibration damping elements disposed between said proximal and said distal end of said outer and said inner shafts, wherein at least one vibration damping element is affixed between said proximal and said distal end of said outer and inner shaft and each end most vibration nodal points of a series of nodal points located along a length of said outer and inner shafts, and wherein at least one vibration damping element is affixed between adjacent vibration nodal points of said series of nodal points along said length of said outer and said inner shafts;
• and
• at least one stiffening member disposed between each outer-most vibration damping element and a corresponding adjacent vibration damping element.