Abstract
A new analytical solution of a non-stationary thermal elasticity problem for a rigidly fixed round two-layer plate was constructed. The case of temperature change on its upper face surface is considered and the heat exchange of the lower face surface with the environment is taken into account. When constructing a General solution, the mathematical apparatus for separating variables in the form of finite integral Fourier–Bessel transformations and generalized biorthogonal transformation is used. The solution peculiarity is the application of control and measuring device. The calculated relations make it possible to determine the stress-strain state and the distribution nature of the temperature field in a rigid round two-layer plate under any external temperature influence.
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