The objects of consideration are thin linearly thermoelastic Kirchhoff–Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential direction (uniperiodic shells). The aim of this contribution is to formulate and discuss a new averaged mathematical model for the analysis of selected dynamic thermoelasticity problems for the shells under consideration. This so-called combined asymptotic-tolerance model is derived by applying the combined modelling including the consistent asymptotic and the tolerance non-asymptotic modelling techniques, which are conjugated with themselves into a new procedure. The starting equations are the well-known governing equations of linear Kirchhoff–Love theory of thin elastic cylindrical shells combined with Duhamel–Neumann thermoelastic constitutive relations and coupled with the known linearized Fourier heat conduction equation. For the periodic shells, the starting equations have highly oscillating, non-continuous and periodic coefficients, whereas equations of the proposed model have constant coefficients dependent also on a cell size.

考虑的对象是薄的线性热弹性基尔霍夫-洛夫型圆柱壳，在圆周方向上具有周期性微异质结构（单周期壳）。本文的目的是制定和讨论一个新的平均数学模型，用于分析 所考虑的壳体的选定动态热弹性问题 。这种所谓的组合渐近容差模型是通过应用包括一致渐近和容差非渐近建模技术在内的组合建模而导出的，这些技术彼此共轭成一个新的过程 。起始方程是著名的薄弹性圆柱壳线性 Kirchhoff-Love 理论与 Duhamel-Neumann 热弹性本构关系的控制方程，并与已知的线性傅里叶热传导方程相结合。对于周期性壳，起始方程具有高度振荡、非连续和周期性系数，而所提出模型的方程具有也取决于单元尺寸的常数系数。