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The basic building element of propeller shafts dynamic models is an one-dimensional continuum. Formulating of the mathematical model is based on the assumption of formation of combined bending and gyratory vibration while the one-dimensional continuum making relative transverse vibrations in rotating space. This assumption is accepted for the reason that propeller shaft is loaded during operation by harmonic and dynamic and excitation and bending moments whose vectors being perpendicular to the plane of the joint fork and rotating together with the shaft. The continuum element makes general spatial movement consisting of rotating and relative spherical motion. Taking into account fhe dynamic and elastic force effects conditions and using Euler-Bernoulli deflection line equation and Schwedler theorem, the continuum equation of motion for a complex variable in a general cut being derived.