A vibrational formulation, a technique, and an algorithm are proposed for\nassessing the resonance state of a package of rectangular plates and shells\nhaving point bonds and concentrated masses with different rheological properties\nof deformable elements under the influence of harmonic influences.\nThe viscoelastic properties of elements are described using the linear Boltzmann-\nVolterra theory. An algebraic system of equations with complex coefficients\nis obtained, which is solved by the Gauss method. Various problems on\nsteady-state forced vibrations for structurally inhomogeneous mechanical\nsystems consisting of a package of plate and shell systems with concentrated\nmasses and shock absorbers installed in it were solved. A number of new\nmechanical effects have been discovered associated with a decrease in the\nmaximum resonance amplitudes of the mechanical system as a whole. The\nconcept of â??global resonance amplitudeâ? is introduced to study the behavior\nof the resonance amplitudes of a mechanical system. An analysis of the numerical\nresults showed that the interaction of resonant amplitudes is observed\nonly in structurally inhomogeneous systems (in this case, with elastic and\nviscoelastic elements) and with a noticeable approximation of the natural\nfrequencies.
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