Modeling of Seismic Processes in Buildings at Presence of Elastoplastic Seismic Insulators

  • V. I. SobolevEmail author
  • E. V. Zenkov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The work is devoted to the problems of reducing the intensity of seismic impacts on multistorey buildings. It is known that the main difficulties in solving the problems of seismic isolation of buildings and structures lie in the field of creating mathematical models for the dynamic interaction of the “foundation-seismic isolation device-construction” systems and are largely due to nonstationary seismic processes. One of the most effective ways to reduce the level of seismic impacts on buildings is to equip them with special devices-seismic isolators, a successful method of implementation of which is the use of elastoplastic systems with a number of undeniable advantages. A technique for calculating the seismic effects of multistorey buildings equipped with elastoplastic seismic insulators is proposed; N. N. Davidenkov’s rheological model was used to numerically simulate the alternating loading. The modeling of dynamic processes is carried out by means of a mathematical description of the dynamics of two linear multidimensional subsystems that approximate the structures located under seismic insulators and above seismic insulators. The dynamics equations are formed on the basis of the D’Alembert principle. Horizontal seismic effects are considered. The presented technique makes it possible to determine the movements of the nodes of the system at any time of the seismic action specified in the form of a digitized seismogram. The above algorithm is implemented as a software module Proxima. The results of calculations are presented on the example of a model of a 24-storey building designed for building conditions in the city of Irkutsk.


Multistorey buildings Elastoplastic seismic insulator Seismogram Numerical simulation Software module Multidimensional dynamic system 


  1. 1.
    Bershtein SA (1938) Fundamentals of the dynamics of structures. Gosstroyizdat, MoscowGoogle Scholar
  2. 2.
    Borges DF, Ravara A (1978) Design of reinforced concrete structures for seismic regions. Stroiizdat, MoscowGoogle Scholar
  3. 3.
    Clough R, Penzien J (1979) Dynamics of constructions. Stroiizdat, MoscowzbMATHGoogle Scholar
  4. 4.
    Ishlinsky AY (1985) Plasticity: overview/mechanics. Ideas. Tasks. Applications. Nauka, MoscowGoogle Scholar
  5. 5.
    Nashef A, Jones D, Henderson J (1988) Dampening of oscillations. Mir, MoscowGoogle Scholar
  6. 6.
    Sobolev VI, Gotovsky SI (2003) Dynamics of seismic manifestations in multi-storey buildings equipped with kinematic foundations. In: Problems of mechanics of modern machines: Proceedings of the second international conference, East-Siberian State University of Technology and Management, Ulan-Ude, 4–10 June 2003Google Scholar
  7. 7.
    Palmov VA (1976) Oscillations of elastoplastic bodies. Science, MoscowGoogle Scholar
  8. 8.
    Sobolev VI, Gaskin VV (2003) Transformation of seismic influences on multi-storey buildings with vibration isolating foundations. In: Proceedings of the Vth Russian national conference on earthquake-resistant construction and seismic zoning, Sochi, 7–11 August 2003Google Scholar
  9. 9.
    Phillips AT (1990) Many-sided soliton. Science, MoscowGoogle Scholar
  10. 10.
    Annin BD (1988) Development of methods for solving elastoplastic problems. Mechanics and scientific and technical progress. Mechanics of a deformable solid, 3rd edn. Science, Moscow, pp 123–136Google Scholar
  11. 11.
    Davidenkov NN (1938) On the scattering of energy in vibrations. ZhTF, vol 8(6)Google Scholar
  12. 12.
    Bate K, Wilson E (1982) Numerical analysis methods and the finite element method. Stroiizdat, MoscowGoogle Scholar
  13. 13.
    Mandelstam AI (1955) Lectures on fluctuations. Academy of Sciences of the USSR, MoscowGoogle Scholar
  14. 14.
    Sobolev VI, Gaskin VV (1999) Numerical studies of buildings under seismic influences given by oscillograms. In: The 3rd regional conference on seismic resistance, construction and seismic zoning of Sochi, Sochi, 5–9 Aug 1999Google Scholar
  15. 15.
    Sobolev VI, Gaskin VV, Snitko AN (1996) Numerical study of multi-storey buildings under seismic influences given by oscillograms. In: International conference methods of potential and finite elements in the automation of research of engineering structures, Saint-Petersburg, 1–6 June 1996Google Scholar
  16. 16.
    Sobolev VI (2003) The harmonic element method and discrete-continual dynamic models. Bull Irkutsk State Tech Univ 13:124–129Google Scholar
  17. 17.
    Kuznetsov NK, Makhno DE, Iov IA (2017) Damping elastic oscillations of digging mechanism. IOP Conf Ser Earth Environ Sci 87(2):022011CrossRefGoogle Scholar
  18. 18.
    Kuznetsov NK (2016) Self-adjusting hydraulic damper for a pneumatic robot. Russ Eng Res 36(6):435–439CrossRefGoogle Scholar
  19. 19.
    Kuznetsov NK, Lapshin VL, Eliseev AV (2017) Features of dynamic damping in linear mechanical system with additional external excitation. Proc Eng 206:236–241CrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Irkutsk National Research Technical UniversityIrkutskRussia

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