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.markbroyard.com/super-save-whole-wheat-phyllo-pastry-sheets-jufka-sa-integralnim-brasnom-12pcs-x-450g-jami-supply-great-choice/