Dynamic behavior of structurally inhomogeneous multiply connected shell structures considering their viscoelastic properties

Abstract

The paper presents the statement and methods for solving dynamic problems of multiply connected structurally inhomogeneous shell structures, which make it possible to reduce the problem of calculating a wide class of engineering structures to computer-aided design tasks. On the basis of numerical experiments and multi-parameter analysis of the system as a whole, a number of fundamentally important applied problems have been solved for calculating the dynamic characteristics of oscillations (frequencies, modes, determinant resonant amplitudes and damping coefficients) of special structures depending on the parameters of structural inhomogeneity. The results obtained made it possible to identify some mechanical effects of theoretical and practical importance. The developed methods and algorithms allow, at the stage of inhomogeneous systems design, combining inhomogeneous materials and connections with various rheological properties, to establish the ranges of parameter values for numerical-experimental search of the most rational (in terms of efficiency) dissipative properties and material consumption of engineering structures. It was established that an account for nonlinear strain in the material does not strongly distort the picture of linearly viscoelastic calculation.