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Successive formula method for numerical analysis of vibrating response

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Acta Seismologica Sinica

Abstract

The algorithm of successive formulas for computing numerical vibrating response of unequal time interval for a single-degree of freedom oscillator in linear cases are more systematically introduced in the paper. Some numerical analysis characteristics of the algorithm are discussed. It is proved that the algorithm is unconditionally stable and convergent. A computer program for simultaneous calculation of the relative displacement, the relative velocity and the absolute acceleration response spectra is edited in the paper.

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References

  • Cheng, M. X., 1988. Convergence and stability of direct numerical integration in case of negative-yield-stiffness.Acta Mechanica Sinica,20, 1, 31–40 (in Chinese).

    Google Scholar 

  • Cheng, M. X., 1989. Convergence and stability of several step-by-step integration method in structural dynamic analysis in case of negative-stiffness.Engineering Mechanics,6, 2, 35–47 (in Chinese).

    Google Scholar 

  • Lee, V.W., 1984. A new fast algorithm for the calculation of response of a single-degree of freedom system to arbitrary load in time.Soil Dynamics and Earthquake Engineering,3, 4, 191–199.

    Article  Google Scholar 

  • Li, D. H., 1990. Successive formula method for computing earthquake response spectra.Earthquake Engineering and Engineering Vibration,10, 2, 47–52 (in Chinese).

    Google Scholar 

  • Liu, Y. and Xie, J. F. (Editors), 1984.Sand Liquefaction by Earthquake Ground-Motion. Seismological Press, Beijing, 284–291 (in Chinese).

    Google Scholar 

  • Nigam, N. C. and Jennings, P. C., 1969. Calculation of response spectra from strong-motion earthquake records.Bull. Seism. Soc. Am.,59, 2, 909–922.

    Google Scholar 

  • Qian, P. F., 1983.Analysis of Aseismic Structures. Seismological Press, Beijing, 157 (in Chinese).

    Google Scholar 

  • Wang, Q. X., 1962. A simple convenient method to evaluate response spectra. In: Liu, H. X. (Editor),Collected Papers on Earthquake Engineering of IEM,1, 1–11 (in Chinese).

    Google Scholar 

  • Wang, Q. X. and Wang, X. X., 1983.Theory of Seismic Loads on Engineering Structures. Seismological Press, Beijing, 48–50 (in Chinese).

    Google Scholar 

  • Zhu, J. Q., 1983. On numerical stability in the dynamic analyses of structures.Acta Mechanica Sinica,15, 1, 388–395 (in Chinese).

    Google Scholar 

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The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,14, 236–242, 1992.

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Li, D. Successive formula method for numerical analysis of vibrating response. Acta Seismologica Sinica 5, 849–856 (1992). https://doi.org/10.1007/BF02651033

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  • DOI: https://doi.org/10.1007/BF02651033

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