Harmonic element method for calculation of operating safety of structures
https://doi.org/10.21285/2227-2917-2023-2-348-358
Abstract
The possibilities and efficiency of the use of the harmonic element method (HEM) for the determination of frequency characteristics for structures subjected to intensive dynamic effects are considered. This method allows the necessary values of frequencies for structural natural vibrations to be obtained by including the longitudinal forces influencing the bending vibrations of beam elements in the parameters of harmonic elements. Therefore, it is possible to adjust the frequencies of natural vibrations, whose variation within known limits offers the vibration or seismic protection of the structure, along with an assessment of its stability limits. The method considers beams with distributed inertial masses, concentrated masses, and solid bodies as harmonic elements, which allows the dynamic models of structures carrying technological equipment to be created. This approach avoids the need for constructing discretized models, which entail the estimation of discretization errors and various computational challenges. In the case of reinforced concrete structures, the necessary longitudinal forces can be generated by prestressing the reinforcement.
About the Authors
V. I. Sobolev
Irkutsk National Research Technical University
Russian Federation
Competing Interests:
Russian Federation
Vladimir I. Sobolev - Dr. Sci (Eng.), Professor, Professor of the Department of Mechanics and Resistance of Materials.
83 Lermontov St., Irkutsk 664074
Competing Interests:
The authors declare no conflict of interests regarding the publication of this article
D. A. Karmazinov
Irkutsk National Research Technical University
Russian Federation
Competing Interests:
Russian Federation
Danil A. Karmazinov - Design Engineer of StroyProektService LLC.
83 Lermontov St., Irkutsk, 664074
Competing Interests:
The authors declare no conflict of interests regarding the publication of this article
T. N. Chernigovskaya
Irkutsk State Transport University
Russian Federation
Competing Interests:
Russian Federation
Tatyana N. Chernigovskaya - Senior Lecturer of the Department of Mathmatics.
15 Chernyshevskogo St., Irkutsk 664074
Competing Interests:
The authors declare no conflict of interests regarding the publication of this article
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Review
For citations:
Sobolev V.I., Karmazinov D.A., Chernigovskaya T.N. Harmonic element method for calculation of operating safety of structures. Izvestiya vuzov. Investitsii. Stroitelstvo. Nedvizhimost. 2023;13(2):348-358. (In Russ.) https://doi.org/10.21285/2227-2917-2023-2-348-358
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