To analyze the vibration characteristic differences of a gear transmission system with gear and shaft cracks. an improved computational method for deriving the shaft stiffness matrix with breathing cracks is developed. Also. the three-dimensional contact model of spur gear with a crack is established via the finite element method (FEM). https://www.nacrack.com/mega-pick-As-for-Me-and-My-House-Wall-Decal-in-Hebrew-Yahauh-flash-find/