The correct term is shivering. It means be shivering. Be aterido, frozen. Tremble. It can also tremble with fright, tremble with fear.
Version of shivering, close of onomatopoeic origin tir-tir. Although it would not be English, it can mean jingle or ring in some regions of Spain.
TITIRITAR, and not TIRITIRAR, shake the body either cold or fear