Natural Vibrations of the Reinforced Tapered Shell with Taking Into Account the Viscoelastic Properties of the Material

In this paper, the integro-differential equations of natural oscillations a viscoelastic ribbed truncated conical shell are obtained based on Lagrange variational equation. The general research methodology is principles mechanics and methods. Geometrically nonlinear mathematical models deformation shells obtained, considering such factors as discrete introduction edges. Based finite element method, method for solving an algorithm with articulated freely supported edges developed. problem reduced to homogeneous algebraic complex coefficients large order. For solution exist, main determinant system must be zero. From condition, we obtain frequency equation output parameters. study vibrations panels carried out, some characteristic features revealed. roots determined by Muller method. At each iteration Gauss used selection. As number increases, real imaginary parts eigenfrequencies increase, respectively.