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

For citation:

Mirsaidov M. M., Ishmatov A. N., Yuldoshev B. S., Salimov S. M., Islomjon K. O. Nonlinear vibrations of a high-rise structure with a dynamic vibration damper. Izvestiya VUZ. Applied Nonlinear Dynamics, 2025, vol. 33, iss. 6, pp. 804-822. DOI: 10.18500/0869-6632-003186, EDN: BLEOZB

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2025-6_mirsaidov_et-al_804-822.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182
DOI: 
10.18500/0869-6632-003186
EDN: 
BLEOZB

Nonlinear vibrations of a high-rise structure with a dynamic vibration damper

Autors: 
Mirsaidov Mirziyod Mirsaidovich, Tashkent state technical University Named after Islam Karimov
Ishmatov Alisher Narkabilovich, Tashkent state technical University Named after Islam Karimov
Yuldoshev Bakhtiyor Shodmonovich, Tashkent state technical University Named after Islam Karimov
Salimov Shoolim Muzaffarovich, Tashkent state technical University Named after Islam Karimov
Islomjon Khazratkulov Obid ugle, Tashkent state technical University Named after Islam Karimov
Abstract: 

Objective: To study the dynamic behavior of high-rise structures with dynamic oscillation dampers under various kinematic influences, taking into account the nonlinear elastic, viscoelastic, and elastoplastic properties of the structure’s material and the viscoelastic properties of the oscillation damper. Dynamic oscillation dampers can be used both at the stage of design, development and construction of structures, as well as in cases where structural quality deficiencies are identified during operation. Their adjustment allows for a simple way to achieve the desired effect of reducing oscillation levels.

Methods. A mathematical model, methodology, and algorithm are proposed for evaluating the dynamic behavior of high-rise structures equipped with a dynamic vibration absorber, taking into account the nonlinear properties of materials under actual operating conditions. To account for internal dissipation in the structure’s material, a nonlinear hereditary Boltzmann-Volterra viscoelasticity model is employed, along with elastic-plastic properties based on a bilinear diagram. This model is characterized by a hysteresis loop, which describes the relationship between the structure’s response and deformation, represented in the form of a parallelogram.

Results. The forced vibrations of high-rise structures near the resonance mode were investigated taking into account the linear, nonlinear elastic, viscoelastic and elastic-plastic properties of the structure material with a dynamic vibration damper under various kinematic effects in the base. The reliability of the method was verified by a test example considering the reaction of an elastic-plastic frame as a system with one degree of freedom under a given load. The effect of vibration damping of a high-rise structure was revealed taking into account the nonlinear viscoelastic and elastic-plastic properties of the structure material together with a viscoelastic dynamic vibration damper.

Conclusion. The influence of the material’s dissipative properties on the structure’s oscillations has been established. Recommendations for optimizing the structure’s performance, taking into account the dynamic oscillation damper, have been proposed. The effectiveness of damping oscillations in a high-rise structure has been demonstrated, considering the nonlinear viscoelastic and elastoplastic properties of the structure’s material in conjunction with a viscoelastic dynamic oscillation damper.

Key words: 
height structure
kinematic impact
nonlinear elastic
viscoelastic and elastic-plastic properties of the material
dynamic oscillation damper
finite element method
resonance mode
Reference: 
  1. Klein HW, Kaldenbach W. A new vibration damping facility for steel chimneys. In: Proc. of the Conference on Mechanics in Design. Trent University of Nottingham, UK. 1998.
  2. Sun Y, Li Zh, Sun X, Su N, Peng S h. Interference effects between two tall chimneys on wind loads and dynamic responses. Journal of Wind Engineering and Industrial Aerodynamics. 2020:206;104227 DOI: 10.1016/j.jweia.2020.104227.
  3. Vîlceanu V, Kavrakov I, Morgenthal G. Coupled numerical simulation of liquid sloshing dampers and wind–structure simulation model. Journal of Wind Engineering and Industrial Aerodynamics. 2023;240:105505. . .97 DOI: 10.1016/j.jweia.2023.105505.
  4. Krishnan R, Deshmukh MA, Sivakumar VL, Joshi G, Geethakumari T, Prakash F. Effective tuned mass damper system for RC tall chimney dynamic wind response control. Materials Today: Proceedings. 2023 DOI: 10.1016/j.matpr.2023.03.660.
  5. Flaga A, Kłaput R, Flaga Ł, Krajewski P. Wind tunnel model tests of wind action on the chimney with grid-type curtain structure. Archives of Civil Engineering. 2021;67(3):177-196 DOI: 10.24425/ace.2021.138050.
  6. Rousseau J P. Dynamic Evaluation of the Solar Chimney. MScEng Thesis. Stellenbosch: University of Stellenbosch; 2005. 90 p.
  7. Niemann H-J, Lupi F, Hoeffer R. Vibrations of chimneys under the action of the wind. In: Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014. 30 June - 2 July 2014, Porto, Portugal. P. 1385-1391.
  8. Xu Zh-D, Zhu J-T, Wang D-X. Analysis and optimization of wind-induced vibration control for high-rise chimney structures. International Journal of Acoustics and Vibration. 2014;19(1):42-51 DOI: 10.20855/ijav.2014.19.1336.
  9. Bajpai VK, Garg TK, Gupta M K. Vibration-dampers for smoke stacks. In: International Conference on Applied and Theoritical Mechanics. 14-16 December, 2007, Tenerife, Spain. WSEAS Press; 2007. P. 124-130.
  10. Babu B, Ravindraraj BJ, Kumar RR, Saranya R. Dynamic behaviors of tall chimneys. International Journal of Research in Engineering and Technology. 2016;5(3):287-294.
  11. Elias S, Rupakhety R, Olafsson S. Tuned mass dampers for response reduction of a reinforced concrete chimney under near-fault pulse-like ground motions. Front. Built Environ. 2020;6:92 DOI: 10.3389/fbuil.2020.00092.
  12. Ingale SD, Magdum M M. Vibration control of uniformly tapered chimney by using tuned mass damper. International Journal of Engineering Science and Innovative Technology. 2013;2(1):148-163.
  13. Kuras P, Ortyl Ł, Owerko T, Kocierz R, Kędzierski M, Podstolak P. Analysis of effectiveness of steel chimneys vibration dampers using surveying methods. In: Proceedings of the 16th International Multidisciplinary Scientific GeoConference (SGEM 2016). Book 2, Vol. 3. Albena, Bulgaria. 2016. P. 255-262.
  14. Karakozova AI, Mondrus V L. Resonant vortex excitation of high-rise structures. International Journal for Computational Civil and Structural Engineering. 2023;19(2):60-70. 10.22337/2587-9618-2023-19-2-60-7010.22337/2587-9618-2023-19-2-60-70.
  15. Aoki T, Sabia D, Rivella D, Muto H. Dynamic identification and model updating of the Howa brick chimney, Tokoname, Japan. WIT Transactions on the Built Environment. 2005;83:265-275 DOI: 10.2495/STR050261.
  16. Mirsaidov M, Abdikarimov R, Khudainazarov S, Sabirjanov T. Damping of high-rise structure vibrations with viscoelastic dynamic dampers. E3S Web Conf. 2020;22:02020. 10.1051/e3sconf/20202240202010.1051/e3sconf/202022402020.
  17. Mirsaidov MM, Khudainazarov Sh O. Spatial natural vibrations of viscoelastic axisymmetric structures. Magazine of Civil Engineering. 2020;4(96):118-128 DOI: 10.18720/МСЕ.96.10.
  18. Mirsaidov MM, Safarov II, Teshaev MK, Eliboyev N R. Free linear vibrations of a viscoelastic spherical shell with filler. Izvestiya VUZ. Applied Nonlinear Dynamics. 2025;33(4):485-496 DOI: 10.18500/0869-6632-003162.
  19. Mirsaidov MM, Nosirov AA, Nasirov I A. Modeling of spatial natural oscillations of axisymmetric systems. J. Phys.: Conf. Ser. 2021;1921:012098 DOI: 10.1088/1742-6596/1921/1/012098.
  20. Utomo J, Moestopo M, Surahman A, Kusumastuti D. Applications of vertical steel pipe dampers for seismic response reduction of steel moment frames. MATEC Web Conf. 2017;138:02002 DOI: 10.1051/matecconf/201713802002.
  21. Guo W, Chen X, Yu Y, Bu D, Li S, Fang W, Wang X, Zeng Ch, Wang Y. Development and seismic performance of bolted steel dampers with X-shaped pipe halves. Eng. Struct. 2021;239:112327 DOI: 10.1016/j.engstruct.2021.112327.
  22. Maleki S, Mahjoubi S. Dual-pipe damper. J. Constr. Steel Res. 2013;85:81-91. 10.1016/J.JCSR.2013.03.00410.1016/J.JCSR.2013.03.004. .95.
  23. Belver AV, Magdaleno Á, Brownjohn JMW, Lorenzana A. Performance of a TMD to mitigate wind-induced interference effects between two industrial chimneys. Actuators. 2021;10(1):12 DOI: 10.3390/act10010012.
  24. Sokol M, Ároch R, Lamperová K, Marton M, García-Sanz-Calcedo J. Parametric analysis of rotational effects in seismic design of tall structures. Appl. Sci. 2021;11(2):597. 10.3390/app1102059710.3390/app11020597.
  25. Shein АI, Zaitsev М B. Extinction of seismic oscillations of tower-type structures using a jet damper. Expert: Theory and Practice. 2023;4(23):171-176 (in Russian).
  26. Patrikeev А В. Evaluating performance of the mechanical dampener of a high-rise structure in use. International Research Journal. 2020;(9(99)):23-26 (in Russian) DOI: 10.23670/IRJ.2020.99.9.004.
  27. Huang X, Xie X, Sun J, Zhong D, Yao Y, Tu S. Monitoring and analysis of the collapse process in blasting demolition of tall reinforced concrete chimneys. Sensors. 2023;23(13):6240 DOI: 10.3390/s23136240.
  28. Su N, Peng S, Chen Z, Hong N, Uematsu Y. Equivalent static wind load for structures with inerter-based vibration absorbers. Wind. 2022;2(4):766-783 DOI: 10.3390/wind2040040.
  29. Gladkov SO, Bogdanova S B. On the question accounting of the resistance force at the hinge point of setting physical pendulum and its influence on the dynamics of movement. Izvestiya VUZ. Applied Nonlinear Dynamics. 2019;27(1):53-62 DOI: 10.18500/0869-6632-2019-27-1-53-62.
  30. Safarov II, Teshaev M K. Dynamic damping of vibrations of a solid body mounted on viscoelastic supports. Izvestiya VUZ. Applied Nonlinear Dynamics. 2023;31(1):63-74 DOI: 10.18500/0869-6632-003021.
  31. Fedotov PE, Sokolov N V. Solving a nonlinear problem for a one-sided dynamically loaded sliding thrust bearing. Izvestiya VUZ. Applied Nonlinear Dynamics. 2024;32(2):180-196. 10.18500/0869-6632-00309710.18500/0869-6632-003097.
  32. Clough RW, Penzien J. Dynamics of Structures. N.Y.: McGraw-Hill; 1975. 634 p.
  33. Mirsaidov MM, Sultanov T Z. Use of linear heredity theory of viscoelasticity for dynamic analysis of earthen structures. Soil Mech. Found. Eng. 2013;49(6):250-256 DOI: 10.1007/s11204-013-9198-8.
  34. Filatov А N. Asymptotic Methods in the Theory of Differential and Integral-Differential Equations. Tashkent: Fan; 1974. 214 p. (in Russian).
  35. Bathe КJ, Wilson Е L. Numerical Methods in Finite Element Analysis. Hoboken: Prentice-Hall; 1976. 528 p.
Received: 
04.04.2025
Accepted: 
05.06.2025
Available online: 
09.07.2025
Published: 
28.11.2025
  • 548 reads