The Stress-strain State of the Rubber-metal Seismic Bearing

This work is devoted to elaboration of finite element approach for the numerical analysis of parameters of the stress-strain state of the rubber-metal seismic bearing under viscoelastic deformation in the presence of layers of porous rubber. Elastic characteristics of porous rubber were determined by self-consistency method for the spherical pores. The integral relations on the basis of Boltzmann–Volterra hereditary theory have been used for viscoelastic behavior modeling. The exponential core containing instant and long elastic characteristics of the material has been used as core of relaxation. The finite element model of deforming the construction with spatial discretization and time discretization was built on the basis of the variational principle. The resulting system of resolving equations contains the additional load vector modeling the rheological constituents of the deformation process; a modified Newton–Kantorovich method has been used to solve this system. For increasing the accuracy of numerical results the precise finite element moment scheme with cubic approximation of displacements has been applied. The numerical convergence of the finite element schemes has been studied on the example of solution of Lame problem for hollow viscoelastic cylinder made of porous rubber. The rubber-metal seismic bearing was calculated on the assumption of the relaxation of the shift module of porous rubber only. The basic parameters of the stress-strain state have been obtained depending on the time and the applicable stamps of rubber.