Lapin V.A., Erzhanov S.E. Analysis of the reaction of the object of seismoisolation with random seismic action

Geoteh. meh. 2019, 144, 146-156

https://doi.org/10.15407/geotm2019.144.146

Analysis of the reaction of the object of seismoisolation with random seismic action

1Lapin V.A., 1Erzhanov S.E.

1JSC “Kazakh Research and Design Institute of Construction and Architecture”

UDC 699.841

Language: Russian

Abstract.

Using probabilistic methods, the reliability and seismic resistance of a large-panel building on kinematic foundations (CF) at the seismic isolation site in Almaty is analyzed. The building is modeled by a nonlinear single-mass system with an experimental deformation diagram. The results of vibration dynamic tests performed earlier by the specialists of «KazRDICA» JSC are attracted. Seismic impact is modeled by a random process with a given correlation function. To calculate probabilistic characteristics, the method of statistical tests is used (Monte-Carlo method). The seismic impact parameters are set in accordance with the “Map of the seismic zoning of the Republic of Kazakhstan” by the median values of peak accelerations. 2 accelerograms of the 1990 Baysorun earthquake were chosen as the impact model. The differences in peak acceleration values from the values normalized by the seismic zoning map are 2-8 %. Therefore, these accelerograms were taken as the basis for modeling the seismic effects of a random process. Generation of realizations of a stationary random process is performed by recursive filtering. The implementation of a non-stationary random process is obtained from a stationary by multiplying by a fractional rational deterministic envelope (Aptikaev F.F.). The influence of the number of statistical tests (artificial accelerograms) on the accuracy of calculating the moments of the distribution function of displacements was investigated. It has been established that to determine the mean, median, root-mean-square values of displacements, it is sufficient to use from 1000 to 5000 realizations of a random process. For a value of reliability, 5000 implementations are sufficient. For asymmetry values (third moment), Ax is sufficient from 10,000 implementations. The value of the kurtosis Ex starts to be set from 25,000 implementations. According to the results of a Monte Carlo calculation using 5000 realizations, the reliability of the building is determined (probability of failure-free operation). The reliability values of W475 and W2475 under seismic effects with a repeatability of 475 and 2475 years are determined. Conclusions about system effectiveness of seismoisolation of kinematic type for the influence specified like buildings at regional parameters are drawn.

Keywords:

seismic isolation, nonlinear systems, kinematic foundation, random process

References:

  1.     1.  Cherepinskiy, Yu.D. and Lapin, V.A. (1995), Osnovy seysmoizolyatsii v stroitelstve [Basics of seismic isolation in construction], Elit, Irkutsk, Russia.
  2.     1.  Cherepinskiy, Yu.D. (1998), “Experimental studies, calculation and theoretical analysis and implementation into the construction of seismic insulating structural systems KF”, Abstract of D. Sc. dissertation, Novosibirsk, Russia.
  3.     2.  Cherepinskiy, Yu.D. (2003), Seysmoizolyatsiya zhilykh zdaniy [Seismic isolation of residential buildings], KazGASA, Almaty, Kazakhstan.
  4.     3.  Lapin, V.A. and Yerzhanov, S.Ye. (2019), “Dynamics of a seismic isolation site: building on kinematic foundations”, Seysmostoykoye stroitelstvo. Bezopasnost sooruzheniy, no. 2, pp. 16-22.
  5.     4.  Prokhorov, S.A. (2001), Matematicheskoye opisaniye i modelirovaniye sluchaynykh protsessov [Mathematical description and simulation of random processes], Gosudarstvennyy aerokosmicheskiy in-t, Samara, Russia.
  6.     5.  Bykov, V.V. (1971), Tsifrovoye modelirovaniye v statisticheskoy radiotekhnike [Digital modeling in statistical radio engineering], Sovetskoye radio, Moscow, USSR.
  7.     6.  Lapin, V.A., Yerzhanov, S.Ye. and Daugavet, V.P. (2018), “Peculiarities of basement oscillations during local earthquakes”, Seysmostoykoye stroitelstvo. Bezopasnost sooruzheniy, no. 1, pp. 25-32.
  8.     7.  Lapin, V.A. and Yerzhanov, S.Ye. (2018), “Methodological basis for the use of engineering seismometric service on buildings”, Seysmostoykoye stroitelstvo. Bezopasnost sooruzheniy, no. 4, pp. 44-49.
  9.     8.  Lapin, V.O., Yerzhanov, S.Ye. and Daugavet, V.P. (2019), “Analysis of seismic effect effect on the basis of recordings of stations of engineering seismometric service on buildings”, Nauka ta budivnytstvo, no. 1, pp. 59-65.
  10.     9.  Fardys M., Karval’o O., Élnashay A., Fachchyoly É., Pynto P. and Plum’er A. (2013), Rukovodstvo dlya proyektirovshchikov k Yevrokodu 8: Proyektirovaniye seysmostoykikh konstruktsiy: Obshchiye normy proyektirovaniya seysmostoykikh konstruktsiy, seysmicheskiye vozdeystviya, pravila proyektirovaniya zdaniy i podpornykh sooruzheniy [Eurocode Guide for Designers 8: Design of Earthquake-Resistant Structures: General Design Standards for Earthquake-Resistant Structures, Seismic Impacts, Building and Retaining Structures Design Rules], MGSU, Moscow, Russia.

About the authors:

Lapin Vladimir Alekseevich, Ph.D. in Engineering Science, Director of Center for Scientific Research in Building Industry, Corresponding Member of International Engineering Academy and National Engineering Academy of the Republic of Kazakhstan, «KazRDICA» JSC, Almaty, Kazakhstan.

Erzhanov Syrymgali Erzhanovich, Ph.D. in Engineering Science, Adviser to Director General, Corresponding Member of International Engineering Academy and National Engineering Academy of the Republic of Kazakhstan, «KazRDICA» JSC, Almaty, Kazakhstan.