In construction of machines more and more often be practical used materials name hyper-elastic for example: foamy structures, materials of base natural and synthetic rubbers and another of large reversible deformations. To description of elastic proprieties, it is possible to use the worked out theories well in which the most important they are the multinomial models and them special coincidence: Mooney-Rivlin, Yeoh and Ogden. Precise description propriety in questions dissipation the energy, dumping of vibration is a fault currently. The aim of the article is the analysis oscillation in systems from elements of incompressible and the description of phenomena setting during of work of such like systems. In this paper, is presented built methodology of elasticity propriety materials with large deformation. An assumption is a dissipation function we have present in analogous figure to elasticity function, well known with theory of hyperelastic materials. A description of model of internal damping was proposed with the proof the influence of component part of polynomial: figure and volumetric. The numeric permissive on comparison of received conception of description of hyperelastic material worked out in support about theoretical foundations with results of experimental investigations analyses' be become executed.
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