Development of models of vibrations of critical structures and regulatory approaches to calculations for seismic impacts

DOI: 10.37153/2618-9283-2021-2-18-37

Authors:  
Rubric:     Theoretical and experimental studies   
Key words: emergency situation, resonance, acute resonance, parametric resonance, seismic impacts, emergency and special seismic loads, interaction with the base, position stability, dynamic stability, nonlinear oscillations
Annotation:

The calculation of the stability of the equilibrium position required by the canceled and current norms of earthquake-resistant construction, and the calculation of the dynamic stability of various partial movements, the requirements for the necessity of which are absent both in the proposals for the norms of the new generation and in the current norms of earthquake-resistant construction, are the main ones in the calculation and design of structures taking into account their interaction with the base. Special and emergency seismic loads are identified that create an emergency situation − the occurrence of a mode of beating or resonant vibrations, as well as parametric resonance and nonlinear vibrations that occur after the loss of stability of the position of structures.

Used Books:

1.   Vedyakov I.I., Vostrov V.K. Razvitie modelei kolebanii osnovaniia i normativnykh podkhodov k raschetam otvetstvennykh sooruzhenii na seismicheskie vozdeistviia. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2020, no. 2, pp.32-54. (In Russian)

2. Smirnova L.N., Uzdin A.M., Prokopovich S.V. Nekotorye osobennosti modelirovaniia raschetnykh akselerogramm. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2019, no.1 pp.33-41. (In Russian)

3. Aubakirov A.T. K raschetu zdanii na seismoizoliruiushchikh fundamentakh s ehlementami sukhogo treniia. Stroitel'naia mekhanika i raschet sooruzhenii. 1986, no.3, pp.70-74. (In Russian)

4. Durseneva N.V., Indeikin A.V., Uzdin A.M. Uchet vertikal'noi komponenty seismicheskogo vozdeistviia na rabotu seismoizolirovannogo sooruzheniia s kinematicheskimi fundamentami. Izvestiia Peterburgskogo universiteta putei soobshcheniia. 2013, no. (16), pp.107-111. (In Russian)

5. Birbraer A.N. Raschet konstruktsii na seismostoikost'. S-Pb.: Nauka. 1998.    256 p. (In Russian)  

6. Poliakov S.V. Seismostoikie konstruktsii zdanii (Osnovy teorii seismostoikosti). M.: Vysshaia shkola.1983. 304 p. (In Russian)

    7. Tyapin A.G.  Sovremennye normativnye podkhody k raschetu otvetstvennykh sooruzhenii na seismicheskie vozdeistviia. M.: Izd-vo ASV. 2018. 518 p. (In Russian)

    8. Okamoto SH. Seismostoikost' inzhenernykh sooruzhenii. M.: Stroiizdat.1980. 342 p. (In Russian)

    9.   SP 14.13330.2018 «SNIP II-7-81* Stroitel'stvo v seismicheskikh raionakh». (In Russian)

   10. Izmenenie №1 k SP 14.13330.2018 «SNIP II-7-81* Stroitel'stvo v seismicheskikh raionakh». (In Russian)

   11. Vedyakov I.I., Vostrov V.K. Avariinye raschetnye situatsii i avariinye seismicheskie nagruzki. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2016, no. 5, pp.33-38. (In Russian)

   12. Leonov M.Ia. K teorii parametricheskogo rezonansa. Izvestiia AN Kirg. SSR. 1974, no. 2, pp.8-14. (In Russian)

   13. Leonov M.Ia. Ustoichivost' kvazigarmonicheskikh kolebanii. DAN SSSR.1949, no.5, vol.64. (In Russian)

   14. Leonov M.Ia. Prochnost' i ustoichivost' mekhanicheskikh sistem. Frunze: Ilim. 1987. 280 p. (In Russian)

15. Panovko IA.G. Vvedenie v teoriiu mekhanicheskikh kolebanii. M.: Nauka.1971.239 p. (In Russian)

16. Panovko IA.G., Gubanova I.I. Ustoichivost' i kolebaniia uprugikh sistem. M.: Nauka.1979. 384 p. (In Russian)

17. Timoshenko S.P. Kolebaniia v inzhenernom dele. M.: Nauka.1967. 444 p.

18. Timoshenko S., Iung D. Inzhenernaia mekhanika. M.: Gosudarstvennoe nauchno- tekhnicheskoe izd-vo mashinostroitel'noi literatury. 1960. 507 p. (In Russian)

19. Bolotin V.V. Dinamicheskaia ustoichivost' uprugikh sistem. M.: GITTL.1956.595 p. (In Russian)

20. Gol'denblatt I.I. Dinamicheskaia ustoichivost' sooruzhenii. M.: GISL.1948.59 p.

21. Tyapin A.G. Primenenie kombinirovannogo asimptoticheskogo metoda dlia rascheta vysotnogo zdaniia na seismicheskoe vozdeistvie. Rol' vzaimodeistviia s osnovaniem. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2018, no.5, pp. 24-28. (In Russian)

22. Tyapin A.G., Toporkov A.S., Mikhailov V.S. Primenenie kombinirovannogo asimptoticheskogo metoda dlia rascheta vysotnogo zdaniia na seismicheskoe vozdeistvie. Rezul'taty. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2018, no.4, pp.32-42. (In Russian)

23. Tyapin A.G. Primenenie kombinirovannogo asimptoticheskogo metoda dlia rascheta vysotnogo zdaniia na seismicheskoe vozdeistvie. Osobennosti reaktsii nizkochastotnogo sooruzheniia. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2018, no.6, pp.19-24. (In Russian)

24. Demidovich B.P. Lektsii po matematicheskoi teorii ustoichivosti. M.: Nauka. 1967. 472 p. (In Russian)

25. Malkin I.G. Teoriia ustoichivosti dvizheniia. M.:Nauka.1966.305 p. (In Russian)

26. Malkin I.G. Nekotorye zadachi teorii nelineinykh kolebanii. M.: Editorial URSS. 2004. 496 p. (In Russian)

27. Andronov A.A., Vitt A.A., Khaikin S.Eh. Teoriia kolebanii. M.: Nauka.1981. 568 p. (In Russian)

28. Geniev R.F., Kononenko V.O. Kolebaniia tverdykh tel. M.: Nauka. 1976.431p. (In Russian)

29. Tyapin A.G. Seismoizoliatsiia pod fundamentom sooruzheniia, vzaimodeistvuiushchego s osnovaniem. Chast' I. Odnomernaia lineinaia model'. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2016, no.5, pp.25-32.

30. Tyapin A.G. Seismoizoliatsiia pod fundamentom sooruzheniia, vzaimodeistvuiushchego s osnovaniem. Chast' II. Mnogomernaia lineinaia model'.  Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2016, no.6, pp.20-26. (In Russian)

31. Tyapin A.G.  Nekotorye soobrazheniia o normakh novogo pokoleniia. Chast'   I: Obshchie polozheniia i zadanie seismicheskogo vozdeistviia. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2019, no.5, pp.7-14. (In Russian)

32. Tyapin A.G. Nekotorye soobrazheniia o normakh novogo pokoleniia.Chast' II: Opredelenie sovmestnykh usilii v lineino-spektral'nom metode. Seismostoikoe stroitel'stvo. Bezopasnost' sooruzhenii. 2019, no.5, pp.15-18. (In Russian)