Simplified Response-Spectrum Seismic Analysis of Nonlinear Structures
Publication: Journal of Engineering Mechanics
Volume 122, Issue 3
Abstract
A method is presented for a simplified seismic analysis of nonlinear multidegree-of-freedom structures. The method represents an improvement over an earlier attempt to extend the use of the conventional response-spectrum method to nonlinear structures, and is also based on the use of a modal superposition in combination with nonlinear response spectra. It involves the computation of their natural frequencies and mode shapes on the basis of their initial elastic properties, the calculation of a yield deformation for each of their modes using formulas proposed here, and readings from a nonlinear response spectrum. The procedure is formulated for plane rigid frames, but limited to elastoplastic force-deformation behavior. Its application is illustrated by means of numerical examples with a three-story shear building and a six-story plane frame. In a comparison with solutions obtained with a step-by-step integration method, the proposed approximate method predicts the maximum displacements of these two structures with an average error of about 5%.
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References
1.
Anagnostopoulos, S. A., Haviland, R. W., and Biggs, J. M.(1978). “Use of inelastic spectra in aseismic design.”J. Struct. Engrg. Div., ASCE, 104(1), 95–109.
2.
Dungar, R.(1982). “An imposed force summation method for non-linear dynamic analysis.”Earthquake Engrg. and Struct. Dynamics, 10, 165–170.
3.
Hanna, M. M. (1989). “An efficient mode superposition method for the numerical dynamic analysis of bilinear systems,” PhD thesis, Univ. of California, Irvine, Calif.
4.
Iwan, W. D.(1980). “Estimating inelastic response spectra from elastic spectra.”Earthquake Engrg. and Struct. Dynamics, 8, 375–388.
5.
Kannan, A. E., and Powell, G. H. (1979). “DRAIN-2D: A general purpose computer program for dynamic analysis of inelastic plane structures.”Rep. No. 73-22, Univ. of California, Berkeley, Calif.
6.
Newmark, N. M. (1970). “Chapter 16: current trends in the seismic analysis and design of high-rise structures.”Earthquake engineering, R. W. Wiegel, ed., Prentice-Hall, Englewood Cliffs, N.J.
7.
Riddell, R., and Newmark, N. M. (1979). “Statistical analysis of the response of nonlinear systems subjected to earthquakes.”SRS No. 468, Univ. of Illinois, Urbana, Ill.
8.
Shibata, A., and Sozen, M. A.(1976). “Substitute structure method for seismic design in R/C.”J. Struct. Div., ASCE, 102(1), 1–18.
9.
Villaverde, R.(1988). “Modal superposition method for seismic design of nonlinear multistory structures.”Earthquake Engrg. and Struct. Dynamics, 16, 691–704.
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Copyright © 1996 American Society of Civil Engineers.
History
Published online: Mar 1, 1996
Published in print: Mar 1996
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