Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Combinatorial continuous non-stationary critical excitation in M.D.O.F structures using multi-peak envelope functions

  • Ghasemi, S. Hooman (Auburn University) ;
  • Ashtari, P. (Civil Engineering, Zanjan University)
  • Received : 2013.11.05
  • Accepted : 2014.05.21
  • Published : 2014.12.25
⟨ Previous Next ⟩

Abstract

The main objective of critical excitation methods is to reveal the worst possible response of structures. This goal is accomplished by considering the uncertainties of ground motion, which is subjected to the appropriate constraints, such as earthquake power and intensity limit. The concentration of this current study is on the theoretical optimization aspect, as is the case with the majority of conventional critical excitation methods. However, these previous studies on critical excitation lead to a discontinuous power spectral density (PSD). This paper introduces some critical excitations which contain proper continuity in frequency domain. The main idea for generating such continuous excitations stems from the combination of two continuous functions. On the other hand, in order to provide a non-stationary model, this paper attempts to present an appropriate envelope function, which unlike the previous envelope functions, can properly cover the natural earthquakes' accelerograms based on multi-peak conditions. Finally, the proposed method is developed into the multiple-degree-of-freedom (M.D.O.F) structures.

Keywords

References

  1. Abbas, A.M. and Manohar, C.S. (2002), "Investigation into critical earthquake load models within deterministic frameworks", Earthq. Eng. Struct. Dyn., 31(3), 813-832. https://doi.org/10.1002/eqe.124
  2. Ashtari, P. (2006), "Seismic design and evaluation of structures using critical excitation method", Doctoral dissertation, College of Civil Engineering, Iran University of Science & Technology, Tehran, Iran.
  3. Ashtari, P. and Ghasemi, S.H. (2013a), "Seismic design of structures using a modified non-stationary critical excitation", Earthq. Struct. An int'l J., 4(4), 383-396.
  4. Ashtari, P. and Ghasemi, S.H. (2010a), "Continuous combinatorial critical excitation for S.D.O.F Structures", Proceeding of 10th International Conference on Probabilistic Safety Assessment and Management PSAM10, Seattle, Washington, USA.
  5. Ashtari, P. and Ghasemi, S.H. (2010b), "Real critical excitation of M.D.O.F structures having continuous PSD function", Proceeding of 10th International Conference on Recent Advance Structural DynamicRASD10, Southampton, England, UK.
  6. Ben-Haim, Y. and Elishakoff, I. (1990), "Convex models of uncertainty in applied mechanics", Elsevier, Amsterdam.
  7. Bolotin VV. (1960), "Statistical theory of the aseismic design of structures. In: 2nd world conference on earthquake engineering", 2, 1365-1374.
  8. Clough, RW. and Penzien, J. (1975), "Dynamic of structures", McGraw-Hill, New York.
  9. Drenick, R.F. (1970), "Model-free design of a seismic structures", J. Eng. Mech. Divi., ASCE, 96(EM4), 483-493.
  10. Ghasemi, S. H., Nowak, A. and Ashtari, P. (2013b), "Estimation of the resonance-response factor regarding critical excitation methods", ICCOSAR, New York.
  11. Ghodrati, G., Ashtari, P. and Rahami, H. (2006), "New development of artificial record generation by wavelet theory", Int. J. Struct. Eng. Mech., 22(2), 185-195. https://doi.org/10.12989/sem.2006.22.2.185
  12. Iyengar, R.N. (1972), "Worst inputs and a bound on the highest peak statistics of a class of non-linear systems", J. Sound Vib., 25(1), 29-37. https://doi.org/10.1016/0022-460X(72)90593-7
  13. Kanai, K. (1957), "Semi-empirical formula for seismic characteristics of the ground", Bulletin Earthquake, Research Institute, University of Tokyo, 35, 309-325.
  14. Lai, S.P. (1982), "Statistical characterization of strong motions using power spectral density function", Bull. Seismol. Soc. Am., 72(1), 259-274.
  15. Manohar, C.S. and Sarkar, A. (1995), "Critical earthquake input power spectral density function models for engineering structures", Earthq. Eng. Struct. Dyn., 24(12), 1549-1566. https://doi.org/10.1002/eqe.4290241202
  16. Moustafa, A. and Takewaki, I. (2009), "Use of probabilistic and deterministic measures to identify unfavorable earthquake records", J. Zhejiang University SCIENCE A, 10(5), 619-634.
  17. Moustafa, A., Ueno, K. and Takewaki, I. (2010), "Critical earthquake loads for S.D.O.F inelastic structures considering evolution of seismic waves", Earthq. Struct., 1(2), 147-162. https://doi.org/10.12989/eas.2010.1.2.147
  18. Pantelides, CP. and Tzan, S.R. (1996), "Convex model for seismic design of structures: I analysis", Earthquake Engineering and Structural dynamic, 25, 927-944. https://doi.org/10.1002/(SICI)1096-9845(199609)25:9<927::AID-EQE594>3.0.CO;2-H
  19. Papoulis, A. (1967), "Limits on band limited signals", Proceedings of IEEE, 55(10), 1677-1686. https://doi.org/10.1109/PROC.1967.5960
  20. Sarkar, A. and Manohar, C.S. (1998), "Critical seismic vector random excitations for multiply supported structures", J. Sound Vib., 212(3), 525-546. https://doi.org/10.1006/jsvi.1997.1460
  21. Shinozuka, M. (1970), "Maximum structural response to seismic excitations", J. Eng. Mech. Div. ASCE, 96(EM5), 729-738.
  22. Tajimi, H. (1960), "A statistical method of determining the maximum response of a building structure during an earthquake", Proceedings of the Second World Conference on Earthquake engineering, 2, Tokyo, Japan, 782-796.
  23. Takewaki, I. (2001a), "A new method for nonstationary random critical excitation", Earthq. Eng. Struct. Dyn., 30(4), 519-535. https://doi.org/10.1002/eqe.21
  24. Takewaki, I. (2001b), "Non-stationary random critical excitation for acceleration response", J. Eng. Mech., ASCE, 127(6), 544-556. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:6(544)
  25. Takewaki, I. (2002), "Robust building stiffness design for variable critical excitations", J. Struct. Eng., 128(12), 1565-1574. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:12(1565)
  26. Takewaki, I. (2007), "Critical excitation methods in earthquake engineering", Elsevier Ltd.
  27. Takewaki, I., Moustafa, A. and Fujita, K. (2012), "Improving the earthquake resilience of buildings: The worst case approach", Springer (London).

Cited by

  1. An efficient response identification strategy for nonlinear structures subject to nonstationary generated seismic excitations vol.45, pp.3, 2017, https://doi.org/10.1080/15397734.2017.1317269
  2. Generation of synthetic accelerograms using a probabilistic critical excitation method based on energy constraint vol.18, pp.1, 2014, https://doi.org/10.12989/eas.2020.18.1.045
  3. Reliability analysis of tunnels with consideration of the earthquakes extreme events vol.22, pp.5, 2020, https://doi.org/10.12989/gae.2020.22.5.433