Reliable Seismic Structural Analysis using Interval Ground Motion

Mehdi Modares*, Adam Venezia**
* Assistant Professor, Department of Civil, Architectural and Environmental Engineering, Illinois Institute of Technology, Chicago.
** Former Graduate Student, Department of Civil, Architectural and Environmental Engineering, Illinois Institute of Technology, Chicago.
Periodicity:March - May'2013
DOI : https://doi.org/10.26634/jste.2.1.2264

Abstract

Abstract: Seismic analysis is an essential procedure to design a structure subjected to ground motion. However, throughout conventional seismic analysis, the structure is subjected to a limited number of recorded earthquake excitations. Moreover, the presence of variations and uncertainties in the recorded excitations within a single, and among different earthquakes is not considered in current seismic analysis procedures. One methods of quantifying the impreciseness and uncertainty is the interval or unknown-but-bounded representation. In this work, a new computationally feasible method for seismic structural analysis with interval uncertainty in the response spectrum is developed, which is capable of obtaining the bounds on the structure’s dynamic response. Using this method, first, the response spectra from various recorded earthquakes are combined in order to construct an interval function referred to as an interval response spectrum. Then, the response spectrum analysis is performed using the developed interval response spectrum, and the bounds of the dynamic response of the structure are obtained. This computationally feasible method shows that calculating the bounds on the dynamic response does not require an iterative procedure such as Monte-Carlo simulation. Numerical example problems, which illustrate the developed algorithm, are presented, along with a comparison of solutions obtained by Monte-Carlo simulation.

Keywords

Structural Dynamics, Seismic Engineering, Interval Analysis, Response Spectrum

How to Cite this Article?

Modares, M., and Venezia, A. (2013). Reliable Seismic Structural Analysis using Interval Ground Motion. i-manager’s Journal on Structural Engineering, 2(1), 6-13. https://doi.org/10.26634/jste.2.1.2264

References

[1]. Alefeld, G., & Herzberger, J. 1983 “Introduction to Linear Computation ” , NewYork: Academic Press.
[2]. Anderson, A.W., et al 1952 “Lateral Forces on Earthquake and Wind”, Trans. ASCE, Vol. 117, p. 716.
[3]. Archimedes (287-212 B.C.); by Heath, T.L., 1897 “The Works of Archimedes”, Cambridge, Cambridge University Press.
[4]. Biggs, J. M.,1964 “Introduction to Structural Dynamics” McGraw-Hill, Inc.
[5]. Biot, M. A., 1932 “Vibrations of Buildings during Earthquake”, Chapter II in Ph.D. Thesis No. 259 entitled “Transient Oscillations in Elastic System”, Aeronautics Department, Calif. Inst. of Tech., Pasadena, California, U.S.A.
[6]. Clough, R.W., & Penzien, J. 1993 “Dynamics of Structures”, McGraw-Hill, New York.
[7]. Dief, A., 1991 “Advanced Matrix theory for Scientists and Engineers”,pp.262-281. Abacus Press (1991)
[8]. Housner, G. W., 1959 “Behavior of Structures During Earthquake” Proc. ASCE Vol. 85, No. EM 4 p. 109.
[9]. Hudson, D. E., 1956 “Response Spectrum Techniques in Engineering Seismology” Proc. World Conf. on Earthquake Eng. Earthquake Engineering Research Institute, Berkeley, California.
[10]. Moore, Ramon E., 1966 “Interval Analysis”, Prentice Hall, Englewood, NJ.
[11]. Modares, M., Mullen, R. L. and Muhanna R. L., 2006, “Frequency Analysis of Structures with Bounded Uncertainty”, ASCE Journal of Engineering Mechanics- Vol. 132, Issue 12, pp. 1363-1371.
[12]. Newmark, N. M., 1959 “A Method of Computation for Structural Dynamics”, ASCE Journal of the Engineering Mechanics Division, Volume: 85, Issue: 7, Pages: 67-94
[13]. Muhanna, Rafi L. & Mullen, Robert L., 2001. “Uncertainty in Mechanics Problems-Interval-Based Approach”. Journal of Engineering Mechanics June-2001, pp.557-566.
[14]. Neumaier, Arnold, 1990 “Interval Methods for Systems of Equations”, Cambridge University Press, Cambridge.
[15]. Rosenblueth, E. & Bustamente, J. I., 1962 “Distribution of Structural Response to Earthquakes”, Proc. ASCE, Vol. 88, No. EM 3 p. 75.
[16]. Young, R. C., 1931 “The Algebra of Many-Valued Quantities” Mathematics Annalen 104, 260-290.
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