Purpose. The purpose of the article is to create a viscoelastic dynamic model of flexible axially-moving belt of different mechanisms considering the influence of the material mechanical properties on its dynamic characteristics in case of transverse vibrations. Methodology. Methodology for flexible belt transverse oscillation investigation is based on asymptotical methods of nonlinear mechanics and wave theory of movement. Findings. Analytical relations for amplitude and frequency of transverse vibration definition for flexible viscoelastic axially-moving belts are obtained in the research. The influence of viscous and elastic belt material properties on its frequency response is analyzed. Originality. For the first time, based on a created dynamic model of flexible viscoelastic axially-moving belt, its dynamic performance during the transverse vibrations is identified analytically and the influence of material mechanical properties on these characteristics is studied Practical value. The offered flexible belt transverse oscillation investigation method allows determining the influence of longitudinal movement speed and viscoelastic material properties on the main parameters of dynamic process. Obtained analytical relations can be the basis for engineering calculations of components and mechanisms, part of which are axially-moving flexible belts.

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