TECHNICAL NOTES
Jul 1, 1986

Response Spectra for Bilinear Hysteretic Systems

Publication: Journal of Structural Engineering
Volume 112, Issue 7

Abstract

A method for computing response spectra for bilinear hysteretic systems subjected to earthquake accelerograms is summarized. The technique provides the exact solution to the equation of motion for ground acceleration which varies linearly between successive digitized points. The complete solutions for the elastic and plastic components of the response are developed, and include underdamped, critically damped, and overdamped cases. A comparison of this analytical technique with five widely known alternative procedures is presented.

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References

1.
Argyris, J. H., Dunne, P. C., and Angelopoulos, T., “Dynamic Response by Large Step Integration,” Journal of Earthquake Engineering and Structural Dynamics, Vol. 2, No. 2, Oct.–Dec., 1973, pp. 185–203.
2.
Conte, S. D., and de Boor, C., Elementary Numerical Analysis, 3rd ed., McGraw‐Hill Book Co., Inc., New York, N.Y., 1980.
3.
Miller, R. E., “Finite Difference Formulas for Two‐Point Boundary Value Problems,” T. & A. M. Report No. 431, Department of Theoretical and Applied Mechanics, Univ. of Illinois at Urbana‐Champaign, Ill., Jan., 1979.
4.
Nau, J. M., “Computation of Inelastic Response Spectra,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, Feb., 1983, pp. 279–288.
5.
Newmark, N. M., “A Method of Computation for Structural Dynamics,” Journal of the Engineering Mechanics Division, ASCE, Vol. 85, No. EM3, July, 1959, pp. 67–94.
6.
Wilson, E. L., Farhoomand, I., and Bathe, K. J., “Nonlinear Dynamic Analysis of Complex Structures,” Journal of Earthquake Engineering and Structural Dynamics, Vol. 1, No. 3, Jan.–Mar., 1978, pp. 241–252.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 7July 1986
Pages: 1727 - 1731

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Published online: Jul 1, 1986
Published in print: Jul 1986

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James M. Nau, A. M. ASCE
Asst. Prof., Dept. of Civ. Engrg., North Carolina State Univ., Box 7908, Raleigh, NC 27695

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