Abstract: | This issue is a component of a large study, which treats the mechanical vibration problems, for the systems with dynamic non-linearity’s. Generally, it was considering both the elasticity and the damping non-linear forms, with different mathematical expressions, but the main purpose of this analysis consist by marking out of the damping characteristics on the vibration transmission or isolation at the equipments suspended on visco-elastic elements. This paper presents a set of physical and mathematical models that supposed the dependence on the viscous forces with the power series of the velocity, both with, and without its modulus. The entire approach is based on the analytical broach, with a finite number of power series terms. The partial conclusions of this study leads to the necessity of the experimental validation of the results. This approach of the non-linear visco-elastic system behavior is usable to make an initial estimation on the virtual prototype, right away the isolation system designing phase. |