In construction of machines more and more often are used materials called hyper-elastic, for example: foam structures, materials based on natural and synthetic rubbers and other materials subjecting large deformations. The porous structures are produced on the basis of different synthetic materials, thermoplastic polymers and
thermosetting. Subject of porous materials is studied by many scientists around the world. Porous materials (also
called cellular plastics, foam plastics or foamed plastics) include gas phase dispersed in a solid phase of polymeric material. Properties of such systems depends on the properties of the polymer warp and cell structure, comprising the gas phase. Approach previously used to anticipate and interpreting the behaviour of the hyper-deformable structures, which use the theory of hyperelastic materials, does not resolve the issue because it only describes the elastic properties. The article presents an original methodology developed structural identification the viscoelastic properties of hyperdeformable materials, and in particular modern construction materials from the group of plastics and
composites of elastomers, foams, etc. The aim of the article was an oscillation analysis in systems from elements
of incompressible and the description of phenomena setting in during of work of suchlike systems.
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