Calculation of the rupture life of mechanical rubber goods

Vibration Damping Using Laminated Elastomeric Structures

“…Experimental studies [7][8][9][10][11][12] indicate that, under these loads, the significant non-linearity of "force-displacement" stiffness characteristics associated with the physical nonlinearity of elastomeric materials takes place. Traditional methods of calculation [5] do not allow describing the characteristics of the non-linear stiffness of these elements. For determining the stiffness characteristics of laminated elastomeric structures, with regard to physical nonlinearity, applying variational methods is more suitable.…”

“…the problem remains geometrically linear. For the boundary value problems of the static theory of elasticity for low compressible materials [5], only the physical group of equations, including the ratio between stress tensor σ ij and strain tensor ε ij , changes. Taking into account experimental data from [1,[3][4][5][6] σ ijε ij , dependence may be expressed as [3] ( ) 2 ( ) , 3…”

“…If Poisson's ratio µ → 0.5, volume strain ε ll → 0.5 and bulk modulus К → ∞; in this case, for the numerical stability of the computational procedure for obtaining approximate solutions and for expressing volumetric strain ε ll is the most suitable for using hydrostatic pressure s [5]:…”

“…For defining the stiffness characteristics of rubber elements, variational methods are used; particularly following the principle of minimum total potential energy of deformation Π using the Ritz procedure [5,8]. For Eq.…”

“…Natural circular frequency λ and linear frequency f of vibrating mass may be estimated if the stiffness characteristics of the vibroisolator are known. Stiffness characteristics (compressive or shearing) are determined experimentally or by proposing solutions or boundary-value problems of the theory of elasticity [5,6].…”