Abstract: Various examples are provided related to reducing global vibrations of tubular structures. In one example, a structure includes a tubular base structure extending along a longitudinal axis; a viscoelastic (VE) layer disposed on and distributed about the tubular base structure; and a constraining layer including a plurality of sections distributed about the tubular base structure and disposed on the VE layer, each section extending along the longitudinal axis of the tubular base structure and separated from an adjacent section by a longitudinal slit extending over an entire length of the section. In another example, a method includes disposing a VE layer on a tubular base structure extending along a longitudinal axis, the VE layer distributed about the tubular base structure; and disposing a constraining layer on the VE layer, the constraining layer including a plurality of sections distributed about the longitudinal axis of the tubular base structure.