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Evaluation of the Dynamic Behavior of Multi-connected Shell Structures

Lecture Notes in Civil Engineering, ISSN: 2366-2565, Vol: 170, Page: 359-369
2022
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Conference Paper Description

The dynamics of multiply connected axisymmetric shell structures composed of thin-walled elements are made of viscoelastic materials is considered in this article. The main result of this research is the determination of the amplitude—frequency characteristics. To carry out the numerical researches and calculations, a software package has been developed that contains programs for calculating the dynamic characteristics of multiply connected shell structures. In this case, the problem of calculating the dynamic characteristics of multiply connected structurally inhomogeneous axisymmetric shell structures is reduced to an effectively solvable mathematical problem for complex eigenvalues. Using some provisions of known methods, an algorithm for the numerical analysis of complex shell structures is constructed, which allows avoiding the difficulties, significantly reducing the order of resolving systems of algebraic and differential equations, and increasing the accuracy of the obtained solution. Based on the analysis of the results obtained, it has been established that the implementation of the optimal value of the elastic modulus is possible under operating conditions that are extreme in terms of strength. The characteristics of the governing damping coefficient δ have maxima at which the dissipative properties of the structure are most effective, i.e. the synergistic effect of viscoelastic properties is fully manifested in the characteristics of the synergistic effect of viscoelastic properties at the given parameters of structural heterogeneity. It was found that the quantitative difference in the maximum amplitude values does not exceed 12–16%. This is due to the reasons consisting in the interaction of the axisymmetric and non-axisymmetric components of the oscillations.

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