Forced vibrations of the growing in thickness polygonal plates rigidly fixed on the reference circuit are investigated. A pentagonal elastic plate is considered as an example. The plate thickness increases continuously as a result of influx of the material from the outside. It is believed that increasing the thickness of the plate varies with time, but does not depend on th spatial coordinates. In the process of growth the middle surface does not change, i. e., the plate growth is symmetrical on both the face surfaces. The rate of change of deflection is determined by solving the initial boundary value problem. Solutions are constructed in the form of expansions in eigen-functions of the bi-harmonic operator defined in the pentagonal region. The eigen-functions and the corresponding eigenvalues are determined by finite element method. The coordinate functions are expressed through a combination of Bessel functions. The values of the deflections are determined by time integration of the solution.
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