Amplitude-frequency characteristics of the "structure–pile foundation" layered model

DOI: 10.37153/2618-9283-2023-2-8-23

Authors:  
Rubric:     Theoretical and experimental studies   
Key words: amplitude–frequency characteristic, resonant properties of soils, layered model, seismic action, damping properties
Annotation:
Taking into account the interaction between a structure and the soil bed during an earthquake is a vital task of the seismic resistance theory. Despite a large amount of research, there is no satisfactory solution of this problem at the time being. The "platform model" applied in engineering practice can be used only for homogeneous soil beds. However, the surface stratum of soil, as a rule, has a multilayer structure, in which each individual layer has its own physical and mechanical characteristics determining the resonant properties of the entire system. The standard methods of analysis do not take into consideration the heterogeneity and layered nature of a soil bed using the averaged stiffness characteristics, which does not allow evaluating the specific features of resonance processes during the joint oscillation of a building and its soil bed. In addition, the dynamic characteristics of soils have a rather high statistical variability even within the same layer, and this can significantly affect the distribution pattern of the resonant frequencies of the system. The present article is aimed at investigating the dynamic response of the “building – multilayer soil bed” system based on the analytical model of a horizontal layered medium. The following tasks were solved: – an analysis of a layered system under the action of a complex sinusoidal signal was carried out with regard to damping; – the amplitude-frequency characteristics were constructed both for individual layers and for the system as a whole; – the influence of the statistical variability of the velocity of transverse seismic waves propagation on the resonant frequencies of the layered system under consideration was assessed. The analytical methods for the solution of the wave problem of seismology were used. Used Books:

1. Savarenskij E.F. Sejsmicheskie volny. Moscow: Nedra, 1972, 294 p.

2. Ratnikova L.I. Metody rascheta sejsmicheskikh voln v tonkosloistykh sredakh. Moscow: Mir, 1973, 124 p.

3. Messioud S., Badreddine S., Dias D. The seismic response of foundations subjected to oblique plane waves. Symposium of the international association for boundary element methods. Breshcia, Italy, 5–8 September, 2011.

4. Messioud S., Badreddine S., Dias D. Harmonic seismic waves response of a 3D rigid surface on heterogeneous soil layer. 15WCEE, Lisbon. 2012.

5. Chiang-Liang V. (1974). Dynamic response of structures in layered soils. MIT Res. Rep. R74-10, Soils Pub., no. 335, Massachussetts Institute of Technology, Cambridge, Massachussetts.

6. Semyonova Yu.V. Raschetnye metody opredeleniya rezonansnykh svojstv gruntov pri sejsmicheskom mikrorajonirovanii. Mezhdunarodnyj nauchno-issledovatelskij zhurnal. Vypusk no.10 (41), 2015. DOI: https://doi.org/10.18454/IRJ.2015.41.202.

7. Volnovye processy v konstrukciyakh zdanij pri sejsmicheskikh vozdejstviyakh. Moscow: Nauka, 1987. 160 p.

8. Khachiyan E. Sejsmicheskie vozdejstviya i prognoz povedeniya sooruzhenij. Yerevan: Gitutyun. NAS RA. 2015. 555 p.

9. Seed H.B., Lysmer J., Hwang R. Soil-Structure Interaction Analyses for Evaluating Seismic Response. Journal of the Geotechnical Engineering. Div., ASCE. 1975, vol.101, no. GT5, pp. 439–457.

10. Bardet J.P., Tobita T., Nera A. Computer Program for Nonlinear Earthquake site Response Analyses of Layered Soil Deposits. 2001. 44 p.

11. Schnabel P.B., Lysmer J., Seed H.B. (1972) SHAKE: A Computer Program for Earthquake Response Analysis of Horizontally Layered Sites. Report no. UCB/EERC-72/12, Earthquake Engineering Research Center, University of California, Berkeley, December, 102 p.

12. Birbraer A.N. Raschet konstrukcij na sejsmostojkost. SPb.: Nauka, 1998. 255 p.

13. Tyapin A.G. Uchet vzaimodejstviya sooruzhenij s osnovaniem pri raschetax na sejsmicheskie vozdejstviya: Nauchnoe izdanie. Moscow: Izdatel`stvo ASV. 2014. 136 p.

14. Tyapin A.G. Raschet sooruzhenij na sejsmicheskie vozdejstviya s uchetom vzaimodejstviya s gruntovym osnovaniem. Nauchnoe izdanie. Moscow: Izdatel`stvo ASV. 2013. 392 p.

15. Khalil L., Sadek M., Shahrour I. (2007). Influence of the soil-structure interaction on the fundamental period of buildings. Journal of Earthquake Engineering. Dyn. 2007; 36: 2445 – 2453.

16. Mylonakis G., Gazetas G. (2000). Seismic soil-structure interaction: beneficial or detrimental. Journal of Earthquake Engineering. Vol. 4, no. 3(2000) 277–301, Imperial College Press.

17. Stewart J.P., Fenves G.L., Seed R.B. (1999). Seismic soil-structure interaction in buildings. Ι: Analytical Methods. Journal of Geotechnical and Geoenvironmental Engineering. Vol. 125, no. 1, January, 1999. ASCE, 1090-0241/99/0001-0026 0037.

18. Pshenichkina V.A., Zhidenko A.S., Sukhina K.N., Sukhin K.A. Modeling a "pile-soil array" system under the seismic load action taking into account shock-absorbing properties of the soil. IOP Conf. Series: Materials Science and Engineering. 913 (2020) 022011.

19. Pshenichkina V.A., Zhidenko A.S., Sukhina K.N., Drozdov V.V. Investigation of the dynamic characteristics of the “building - pile foundation” system with the random parameters of foundation soils. E3S Web of Conferences 281, 01029 (2021)

20. Dangla P. (1988). A plane strain soil‐structure interaction model. Earthquake engineering & structural dynamics. Vol.16(8), 1115–1128.

21. Pshenichkina V.A., Rekunov S.S., Ivanov S.Yu., Makhieddin Ch., Xamisi S., Zhidenko A.S. Primenenie sloistoj modeli k raschetam dinamicheskikh kharakteristik zdanij pri sejsmicheskikh vozdejstviyakh.Vestnik Volgogradskogo gosudarstvennogo arhitekturno–stroitelnogo universiteta. Seriya: stroitelstvo i arhitektura. 2022, no.1 (86), pp. 43–57.

22. SP 358.1325800.2017 Sooruzheniya gidrotekhnicheskie. Pravila proektirovaniya i stroitelstva v sejsmicheskikh rajonakh. Moscow: Rosstandart; 2017.