Assessment of Dynamic Characteristics of High-Rise Structures Taking into Account Dissipative Properties of the Material

Abstract The methods and algorithm to assess dynamic characteristics of high-rise structures are given in the paper taking into account the variability of slopes and the structure thickness in the framework of one-dimensional theory of viscoelasticity. The Boltzmann-Volterra hereditary theory was used to describe dissipative processes in the structure material. The reliability of results was verified by comparing the obtained results with the exact solution of a number of test problems. Natural vibrations of high-rise chimney stacks and ventilation pipes of thermoelectric and nuclear power plants have been investigated. It was revealed that the natural frequencies of the considered structures fall into the dangerous range of earthquake frequencies. The obtained frequencies of natural vibrations of real structures are compared with the results of field experiments.

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