JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Optimal input cross-power spectra in shake table testing of asymmetric structures
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Earthquakes and Structures
  • Volume 9, Issue 5,  2015, pp.1115-1132
  • Publisher : Techno-Press
  • DOI : 10.12989/eas.2015.9.5.1115
 Title & Authors
Optimal input cross-power spectra in shake table testing of asymmetric structures
Ammanagi, S.; Manohar, C.S.;
 Abstract
The study considers earthquake shake table testing of bending-torsion coupled structures under multi-component stationary random earthquake excitations. An experimental procedure to arrive at the optimal excitation cross-power spectral density (psd) functions which maximize/minimize the steady state variance of a chosen response variable is proposed. These optimal functions are shown to be derivable in terms of a set of system frequency response functions which could be measured experimentally without necessitating an idealized mathematical model to be postulated for the structure under study. The relationship between these optimized cross-psd functions to the most favourable/least favourable angle of incidence of seismic waves on the structure is noted. The optimal functions are also shown to be system dependent, mathematically the sharpest, and correspond to neither fully correlated motions nor independent motions. The proposed experimental procedure is demonstrated through shake table studies on two laboratory scale building frame models.
 Keywords
random vibration;multi-component earthquake support motion;critical excitation models;shake table testing;
 Language
English
 Cited by
 References
1.
Abbas, A.M. and Manohar, C.S. (2007), "Reliability-based vector nonstationary random critical earthquake excitations for parametrically excited systems", Struct. Saf., 29(1), 32-48. crossref(new window)

2.
Ammanagi, S. and Manohar, C.S. (2015), "Optimal cross-spectrum of road loads on vehicles: theory and experiments", J. Vib. Control, doi: 10.1177/1077546315570107. crossref(new window)

3.
Athanatopoulou, A.M. (2005), "Critical orientation of three correlated seismic components", Eng. Struct., 27(2), 301-312. crossref(new window)

4.
Bendat, J.S. (1998), Nonlinear systems techniques and applications, Wiley, New York.

5.
Bendat, J.S. and Piersol, A.G. (2010), Random Data: Analysis and Measurement Procedures, Wiley-Blackwell, New York.

6.
Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, McGraw-Hill, New York.

7.
Ewins, D.J. (2000), Modal Testing, Theory, Practice, and Application, Research Studies Press, Taunton.

8.
Fujita, K., Yoshitomi, S., Tsuji, M. and Takewaki I., (2008), "Critical cross-correlation function of horizontal and vertical ground motions for uplift of rigid block", Eng. Struct., 30 (5), 1199-1213. crossref(new window)

9.
Gonzalez, J.V., Schroeder, M.O. and Martinez, J.D. (2015), "Combination rule for critical structural response in soft soil", Eng. Struct., 82, 1-10. crossref(new window)

10.
IEEE-344 (2013), IEEE Standards, IEEE Recommended Practices for Seismic Qualification of Class 1E Equipment for Nuclear Power Generating Stations, New York.

11.
Jaiswal, K. and Sinha, R. (2007), "Spatial variation of maximum considered and design basis earthquakes in peninsular India", Curr. Sci., 92(5), 639-645.

12.
Kiureghian, A.D. and Nakamura, Y. (1993), "CQC modal combination rule for high-frequency modes", Earthq. Eng. Struct. Dyn., 22(11), 943-956. crossref(new window)

13.
Kubo, T. and Penzien, J. (1979), "Analysis of three-dimensional strong ground motions along principal axes, San Fernando earthquake", Earthq. Eng. Struct. Dyn., 7(3), 265-278. crossref(new window)

14.
Lopez, O.A. and Rorres, R. (1997), "The critical angle of seismic incidence and the maximum structural response", Earthq. Eng. Struct. Dyn., 26(9), 881-894. crossref(new window)

15.
Lopez, O.A., Chopra, A.K. and Hernandez, J.J. (2000), "Critical response of structures to multicomponent earthquake excitation", Earthq. Eng. Struct. Dyn., 29(12), 1759-1778. crossref(new window)

16.
McConnel, K.G. (1995), Vibration testing: Theory and Practice, John Wiley, New York.

17.
Menun, C. and Kiureghian, A.D. (1998), "A replacement for the 30%, 40%, and SRSS rules for multicomponent seismic analysis", Earthq. Spectra, 14 (1), 153-163. crossref(new window)

18.
Menun, C. and Kiureghian, A.D. (2000), "Envelopes for seismic response vectors. I: Theory", J. Struct. Eng., 126(4), 467-473. crossref(new window)

19.
Nigam, N.C. and Narayanan, S. (1994), Applications of random vibrations, Narosa publishers, New Delhi.

20.
Papoulis, A. and Pillai, S.U. (2002), Probability, random variables and stochastic processes, Tata McGraw-Hill, New Delhi.

21.
Reyes-Salazar, A., Lopez-Barraza, A., Lopez-Lopez A. and Haldar, A. (2008), "Multi-component seismic response analysis - a critical review", J. Earthq. Eng., (12), 779-799.

22.
Rezaeian, S. and Kiureghian, A.D. (2012), "Simulation of orthogonal horizontal ground motion components for specified earthquake and site characteristics", Earthq. Eng. Struct. Dyn., 41, 335-353. crossref(new window)

23.
Sarkar, A. and Manohar, C.S. (1996), "Critical cross power spectral density functions and the highest response of multi-supported structures subjected multi-component earthquake excitations", Earthq. Eng. Struct. Dyn., 25(3), 303-315. crossref(new window)

24.
Sarkar, A. and Manohar, C.S. (1998), "Critical seismic vector random excitations for multiply supported structures", J. Sound Vib., 212(3), 525-546. crossref(new window)

25.
Takewaki, I. (2002), "Seismic critical excitation method for robust design: A review", J. Struct. Eng., 128(5), 665-672. crossref(new window)

26.
Takewaki, I. (2013), Critical excitation methods in earthquake engineering, Elsevier, New York, USA.

27.
Torbol, M. and Shinozuka, M. (2012), "Effect of the angle of seismic incidence on the fragility curves of bridges", Earthq. Eng. Struct. Dyn., 41(14), 2111-2124. crossref(new window)

28.
Worden, K. and Tomlinson, G.R. (2001), Nonlinearity in structural dynamics, Institute of Physics Publishing, Bristol.