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Rotating machines are one of the kinds of mechanical systems that widely used in industry. The way of connecting axis and vibration of system are among the items that are always discussed in these systems. In the paper, a mechanical rotating system is modeled. In the model, a system consisting of two flexible axes (shafts) with different rotation axis which connected through a cardan joint is investigated via two degrees of freedom model. The stability of the model is analyzed by means of a monodromy matrix technique. The model is verified by comparing the results with the results of the previous researches and different natural frequencies. Then the effects of different system parameters such as axis rotational velocity, cardan angle, shaft's properties (stiffness and damping) on the stability of system are investigated. Also manner and conditions of each parameter on the stability of system are discussed. Finally, the stability charts constructed on various system parameters is presented. It is observed that decreasing shaft stiffness and cardan joint angle due to more stability, while decreasing shaft damping has the opposite effect.