Modeling and calculation of a three-layer composite shell of the “cone-cylinder-cone” type

Abstract

The article presents the results of calculating a multilayer structure of the “cone-cylinder-cone” type under the action of force and temperature loads. Multilayer structures and systems made of them are widely used in various industries where a combination of several properties is required - for example, strength, thermal insulation, sound insulation, resistance to moisture, fire, etc. The main areas of their use are construction, industry, automotive and aviation, military, and space technology. The calculation of multilayer structures has several features that distinguish it from single-layer systems, since it is necessary to take into account the interaction of layers, their physical and mechanical properties, and fundamental purpose. Such a calculation requires taking into account anisotropy, interlayer interaction, thermal, and mechanical loads. For this purpose, complex models are created that make it possible to more accurately predict the behavior and durability of the structure. There are several theoretical approaches to the calculation of multilayer structures, and the choice of theory depends on the type of structure, its thickness, type of load, as well as the required accuracy.

The research is based on a variant of the finite-shear theory of calculation of multilayer plates and shells, taking into account temperature in hypotheses for transverse tangential stresses. At the first stage of the research, the problem of stationary thermal conductivity of a multilayer shell was solved, in which the hypothesis of temperature distribution over the thickness of the multilayer package was applied. Based on the obtained characteristics of the temperature field, the problem of thermoelastic equilibrium of a composite shell was solved. The obtained boundary value problems of thermal conductivity and thermoelastic equilibrium were implemented by the method of discrete orthogonalization.

As follows from the constructed graphs, the deflections and stresses that arise under the action of a temperature field are 4-20 times higher than the similar values ​​obtained under force loading. This indicates that the temperature effect is the determining factor of the stress-strain state of a composite shell.