Method for calculation parameters of dynamic vibration dampers’ complexes as regulators of structures’ and constructions’ stress-strain state under polyharmonic excitations
https://doi.org/10.33979/2073-7416-2025-119-3-45-59
Abstract
The article is devoted to the urgent problem of protecting buildings and structures from dynamic influences of various nature and origin. An effective means of vibration suppression is being considered namely dynamic vibration dampers. A generalized model of a system of multi-mass dampers and a rational, engineering-oriented method for calculating their parameters at conditions of polyharmonic descriptions of complex dynamic excitations on construction objects are proposed, using the concepts and methods of the theory of regulating the stress-strain state of structures, where dampers play the role of regulators. Based on the decomposition approach, an analytical solution to the problem of determining the parameters of a complex of dampers according to pre-formulated requirements for the results of regulating the dynamic state of a deformable system (buildings, structures) is obtained. The test tasks were used to evaluate and analyze the accuracy of the results of calculations of model systems according to the developed methods, algorithms and formulas.
About the Authors
V. G. Sebeshev
Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)
Russian Federation
Russian Federation
Sebeshev Vladimir G. - Сandidate of Technical Science, Professor, Hon. Mem. RAACS, Professor of the Department of Structural Mechanics,
Novosibirsk.
N. A. Lyuft
Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)
Russian Federation
Russian Federation
Lyuft Nikita A. - Post-Graduate Student of the Department of Structural Mechanics,
Novosibirsk.
Yu. A. Gerber
Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)
Russian Federation
Russian Federation
Gerber Yuriy A. - Сandidate of Technical Science, Associated Professor of the Department of Structural Mechanics,
Novosibirsk.
References
1. Bolotin V.V. To the calculation of building structures for seismic impacts. Structural Mechanics and Analysis of Structures. 1980. No. 1. Pp. 9-14. (rus)
2. Bolotin V.V., Radin V.P., Chirkov V.P. Modeling of dynamic processes in elements of building structures during earthquakes. News of Higher Educational Institutions. Construction. 1999. No. 5. Pp. 17-21. (rus)
3. Zainulin D.A., Nesterova O.P. Application of BIM (TIM) technologies for monitoring buildings and structures in seismically hazardous areas. Science and innovation in construction: Collection of reports of the VIII International scientific and practical conference dedicated to the 70th anniversary of the foundation of BSTU named after V.G. Shukhov, Belgorod, April 15, 2024. Belgorod: Belgorod State Technological University named after V.G. Shukhov. 2024. Pp. 204-207. (rus)
4. Shein A.I., Bykov A.N. Damping of vibrations of building structures. Current state of the problem. Modeling and mechanics of structures. 2024. No. 20. Pp. 30-70. (rus)
5. Korenev B.G., Reznikov L.M. Dynamic dampers of vibrations: Theory and technical applications. Moscow: Nauka [Science]. 1988. 304 p. (rus)
6. Dukart A.V. Oleinik A.I. Dynamic vibration dampers of structures. Moscow: Publishing office of the Association of Construction Higher Educational Institutions. 2015. 248 p. (rus)
7. Sebeshev V.G., Gerber Yu.A. Regulation of the stress-strain state of systems with concentraited masses by dynamic vibration dampers under harmonic excitations. News of Higher Educational Institutions. Construction. 2019. No. 9. Pp. 5-18. (rus)
8. Vol’nikov M.I. Modeling of vibration shock protection of heterogeneous structures. University News. Volga Region. Engineering Sciences. 2006. No. 6. Pp. 373-379. (rus)
9. Vol’nikov M.I., Skamorin M. A. Dynamic model of a beam with a vibration damper on discrete working media. Modern Problems of Development of Engineering and Technologies, Penza, May 05–31, 2016. Penza: Penza State Technological University. 2016. Pp. 122-127. (rus)
10. Gusev A.A., Kuznetsov A.I. Damping of oscillations of an elastic system with a pendulum damper // Bulletin of the Moscow Polytechnic University. 2018. No. 2. Pp. 45-50. (rus)
11. Karapetyan A.V. Invariant sets of mechanical systems. Nonlinear Mechanics. 2001. Pp. 62-88. (rus)
12. Krupenin V.L. Parametric oscillations of vibro-impact systems: Cand. Sci. (Phys.-Math.) diss. Moscow, 1979. 185 p. (rus)
13. Lontsikh P.A. Tlumenie drgań mechanicznych robotów przemysłowych [Damping of mechanical vibrations of industrial robots]. Przegląd Mechaniczny (Mechanical Review). 1990. No. 24. P. 34-42.
14. Lontsikh P.A. Dynamic damping of torsional vibrations [Динамическое гашение крутильных колебаний]. Zagadnienia drgań nieliniowych (Problems of Nonlinear Vibrations). 1979. No. 20. Pp. 71-76.
15. Smogunov V.V., Vol’nikov M.I. Dynamics of heterogeneous structures: Vibration shock protection of heterogeneous structures. Penza: Penza State University Publishing House. 2005. 497 p. (rus)
16. Habib G., Romeo F. The Tuned Bistable Nonlinear Energy Sink. Non-linear Dynamics. 2017. No. 89(1). Pp. 179-196.
17. Zheliostov D.A., Medvedeva A.A., Uzdin A.M., Nesterova O.P. Some features of the selection of parameters of two-mass dynamic dampers of seismic vibrations. Natural and technogenic risks. Safety of structures. 2023. No. 1 (62). Pp. 27-31. (rus)
18. Gerber Yu.A., Sebeshev V.G. Regulation of dynamic stress-strain state and reliability of deformable systems with vibration dampers under harmonic loads. IOP Conf. Series: Materials Science and Engineering, Volume 972 (2020) 012013. Pp. 1-9.
19. Sebeshev V.G., Gerber Yu.A. Regulation of the multi-degree-of-freedom systems’ stress-strain state under harmonic excitations by means of dynamic vibration dampers (solution in mass’ displacements with a stiffness matrix). News of Higher Educational Institutions. Construction. 2021. No. 6. Pp. 5-19. (rus)
20. Taratorkin A.I. Damping of resonant vibrations of gyroscopic systems by an active dynamic damper: Dr. Sci. (Eng.) diss. Moscow. 2010. (rus)
21. Lyuft N.A., Sebeshev V.G., Gerber Yu.A. Analysis of Idealization Effects and Refinement of Computational Models in Problems of Dynamics of Rod Systems. Proceedings of the Novosibirsk State University of Architecture and Civil Engineering. 2024. Vol. 27. No. 4 (94). Pp. 35-60. (rus)
22. Gerber Yu.A., Sebeshev V.G. Reliability of Rod Systems with Dynamic Vibration Damping in Frequency Cluster Regions of Natural Frequencies. Proceedings of the Novosibirsk State University of Architecture and Civil Engineering. 2018. Vol. 21. No. 1(67). Pp. 59-74. (rus)
Review
For citations:
Sebeshev V.G., Lyuft N.A., Gerber Yu.A. Method for calculation parameters of dynamic vibration dampers’ complexes as regulators of structures’ and constructions’ stress-strain state under polyharmonic excitations. Building and Reconstruction. 2025;(3):45-59. (In Russ.) https://doi.org/10.33979/2073-7416-2025-119-3-45-59
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