noun

A flat, thin strip or loop of material put around something, typically to hold it together or to decorate it.

wads of banknotes fastened with gummed paper bands

belt,sash,girdle,strap,tape,ring,hoop,loop,circlet,circle,cord,tie,string,thong,ribbon,fillet,strip

transitive verb

Surround (an object) with something in the form of a strip or ring, typically for reinforcement or decoration.

doors are banded with iron to make them stronger