Synthesis of layered shells from a finite set of viscoelastic materials

Abstract

The method suggested earlier for solving the problems of optimal design from a limited set of elastic materials is generalized to a viscoelasticity case. The computational experiment for the problem of free oscillations of a spherical shell shows that characteristics of a viscoelastic layered structure may be improved due to peculiarities of wave propagation through the boundaries of layers made of different materials.

Optimization of the damping decrement of free oscillations of a viscoelastic layered sphere with a limitation on weight

“…Solving problems of the optimal design of layered structures, Bondarev et al [1] showed that the damping level of a multilayer spherical shell made of a given set of viscoelastic materials can be increased by changing the relative position and relative thickness of the layers. Solving problems of the optimal design of layered structures, Bondarev et al [1] showed that the damping level of a multilayer spherical shell made of a given set of viscoelastic materials can be increased by changing the relative position and relative thickness of the layers.…”

“…We formulate the following problem (see [1]): from a given set of materials, it is required to construct a multilayer shell with limited weight that ensures a minimum value of the selected quality criterion:…”