ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Mirsaidov M. M., Ishmatov A. N., Yuldoshev B. S., Salimov S. M., Khazratkulov I. O. Dynamic characteristics of spatial axisymmetric structures considering energy dissipation in the material. Izvestiya VUZ. Applied Nonlinear Dynamics, 2026, vol. 34, iss. 2, pp. 268-285. DOI: 10.18500/0869-6632-003212, EDN: UMJPRE

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-003212
EDN: 
UMJPRE

Dynamic characteristics of spatial axisymmetric structures considering energy dissipation in the material

Autors: 
Mirsaidov Mirziyod Mirsaidovich , The National Research University «Tashkent Institute of Irrigation and Agricultural Mechanization Engineers»
Ishmatov Alisher Narkabilovich, The National Research University «Tashkent Institute of Irrigation and Agricultural Mechanization Engineers»
Yuldoshev Bakhtiyor Shodmonovich, The National Research University «Tashkent Institute of Irrigation and Agricultural Mechanization Engineers»
Salimov Shoolim Muzaffarovich, The National Research University «Tashkent Institute of Irrigation and Agricultural Mechanization Engineers»
Khazratkulov Islomjon Obid ugle, The National Research University «Tashkent Institute of Irrigation and Agricultural Mechanization Engineers»
Abstract: 

The purpose of the work is a comprehensive analysis of the current state of the issue concerning the dynamics of axisymmetric structures.

Results. A mathematical model, method, algorithm, and computer program for calculations on a computer have been developed to assess the dynamic characteristics (frequency, mode, and damping ratio of vibrations) of spatial axisymmetric structures, considering energy dissipation in the material using the hereditary Boltzmann–Volterra viscoelastic model in a three-dimensional setting. The dynamic characteristics of specific spatial axisymmetric structures of the cooling tower type have been evaluated. It has been determined that for this type of structure, the lowest nonaxisymmetric natural frequencies fall within the range of predominant earthquake frequencies.

Conclusion. It has been found that: accounting for dissipation in the material results in a slight reduction in the natural vibration frequencies of the structure and a weakly frequency-independent damping ratio; the installed stiffening rings at the top of the structure somewhat increase the non-axisymmetric natural vibration frequencies, while the bending frequencies of the structures decrease slightly.
 

Key words: 
axisymmetric spatial construction
cooling tower
dynamic properties
non-axisymmetric vibrations
complex eigenfrequencies
vibration modes and damping ratio
energy dissipation
hereditary viscoelasticity
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Received: 
01.11.2025
Accepted: 
05.02.2026
Available online: 
07.02.2026
Published: 
31.03.2026
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