Modeling and analysis of the thermal elastic state of the shell system

Abstract

Structural elements in the form of rotating shells made of composite materials are used quite often in various industries. Such shells, as a rule, have a multi-layered structure and are subject to the combined influence of force and temperature factors. Therefore, the questions related to the calculations of shell systems for thermoforce loads are quite relevant in the design and construction of such structures.

The calculation of structures consisting of multilayer shell systems of different configurations is a rather complex mathematical problem, especially in cases where the shell layers have properties of orthotropy.

The implementation of such problems by analytical methods is possible only for a narrow class of shells under certain boundary conditions and certain loads.

The calculation of multilayer structures based on the classical theory of Kirchhoff-Lewa, as numerous studies have shown, in many cases gives rather large errors.

In view of this, applied refined theories were developed which take into account transverse shear deformation and compression in the calculations. As research has shown, on the basis of such models, fairly accurate values ​​of the parameters of the stress-strain state of multilayer orthotropic shells were obtained.

Quite often, such structures are affected not only by force factors but also by temperature loads. A mathematical model was proposed that took into account temperature effects when calculating the stress-strain state of multilayer orthotropic plates and shells.

This article considers the problem of determining the thermoelastic state of a three-layer orthotropic shell under the influence of a temperature field and a force load.

The purpose of this work is to study the influence of the thermomechanical characteristics of the material of the layers on the thermoelastic state of the shell system.

A divergent three-layer shell of the "cylinder-cone" type is considered, which is under the influence of the temperature field and force load under the conditions of convective heat exchange with the surrounding environment.

A load uniformly distributed over the surface acts on the shell. The shell has three layers, two of which are bearing layers and one layer is aggregate.