1887
Volume 19, Issue 1-2
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

Because of the complicated nature of earthquake induced ground motions and the corresponding transient response of structures to such motions, the use of response spectrum has achieved wide acceptance, in the field of earthquake engineering, as a meaningful measure of the intensity of an earthquake. Thus, it is useful to investigate the application of the digital computer to characterise real earthquake motion (in the form of digitised acceleration time histories) by means of response spectra. The conceptual development of the response spectrum (which should not be confused with the ground motion spectrum) and its application to the analysis of transient oscillations in elastic systems is attributed to Benioff (1934), Neuman (1936), and Biot (1943). Its engineering significance lies in the fact that once the spectrum is known for a one-degree-of-freedom system, it is possible to compute the value of the maximum shear produced by an earthquake. Further, extension of this concept of response spectra to multidegree of freedom systems can be done using the modal superposition method of dynamic analysis. The mathematical formulation for performing response analyses of a single-degree-of-freedom system is explained.

© 1988 ASEG
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1988-03-01
2026-01-16

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References

  1. Alderson, M. A. H. G. & Winter, P. W. (1980)—‘The development of response spectra from strong motion earthquake time — histories’, SRD R 180, United Kingdom Atomic Energy Authority, Warrington, U.K.
  2. Benioff, H. (1934)—‘The physical evaluation of seismic destructiveness’, Bulletin of the Seismological Society of America, 24.
  3. Berg, G. V. (1963)—‘A study of errors in response spectrum analyses’, Jornadas Chilevas de Sesmologia e Ingeriena Antisismica, 1, B 1.3, 1–11.
  4. Biot, M. A. (1953)—‘Analytical and experimental methods in engineering seismology’, Trans. Am. Soc. Civil Engineers108.
  5. Cakiroglu, A. & Ozmen, G. (1968)—‘Numerical integration of forced-vibration equations’, Journal of the Engineering Mechanics Division, ASCE94.
  6. Milne, W. E. (1953)—‘Numerical solution of differential equations’, Wiley, New York.
  7. Mumme, I. A. A review of methods for generating artificial earthquake records’, 3rd AINSE Engineering Conference, 12–13 Nov., 1981.
  8. Mumme, I. A. & McLaughlin, R. (1985)—‘Computation of the response spectra for the Dalton earthquake of the 4th July, 1977. Advances in the study of the Sydney Basin’, Proceedings of the Nineteenth Symposium, Dept. of Geology, The University of Newcastle.
  9. Nigham, N. C. & Jennings, P. C. (1969)—‘Calculation of response spectra from strong motion earthquake records’, Bull. Seism. Soc. Am. 59(2), 909–922.
  10. Neuman, F. (1936)—‘A mechanical method of analysing accelerograms’, Trans. Am. Geophysical Union.
  11. Wilson, E. L., Farhoomand, I. & Bathe, K. J. (1973)—‘Non-linear dynamic analysis of complex structures, earthquake engineering and structural dynamics’, 1(3).
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  • Article Type: Research Article

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