Ribbons with a porosity varying from 22 to 0.5% have been produced by rolling a multilayer knitted-mesh package made of 12Kh18N10T steel wire bundles 30 μm in diameter. Experimental and generalized analytical dependences of fatigue characteristics and their combinations on the porosity and rolling strain have been established using resonant cyclic loading techniques. Corrections have been introduced into the expressions for vibration strength and vibration strain to allow for the significance of their components.