TECHNICAL NOTES
Jan 1, 1989

Scheme to Improve Numerical Analysis of Hysteretic Dynamic Systems

Publication: Journal of Structural Engineering
Volume 115, Issue 1

Abstract

This note presents a procedure that basically consists of the following: (1) The detection, as the step-by-step integration advances, of changes in load-deformation behavior; (2) the determination of the precise times at which such changes occur; (3) the reduction of the time step to calculate the response of the system at those times; and (4) the continuation of the step-by-step integration with adjusted load-deformation properties and the regular time step selected for the analysis. Presented also are the equations for the implementation of the proposed procedure in the particular case of Newmark's constant average acceleration method.

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References

1.
Griffin, M. J. (1988). “Comparative analysis of two numerical methods for computing dynamic response of nonlinear systems,” thesis presented to the University of California, Irvine, Calif., in partial fulfillment of the requirements for the degree of Master of Science.
2.
Guerra, O. R., and Esteva, L. (1976). “Efectos del comportamiento no lineal en la respuesta sismica de estructuras.” Report to Secretaria de Obras Publicas, Institute de Ingenieria, UNAM, Mexico.
3.
Hilber, H. M., and Hughes, T. J. R. (1978). “Collocation, dissipation and overshoot for time integration schemes in structural dynamics.” Earthquake Engrg. Struct. Dyn., 6, 99–117.
4.
Kannan, A. E., and Powell, G. H. (1973). “DRAIN‐2D, A general purpose computer program for dynamic analysis of inelastic plane structures.” Reports No. EERC 73‐6 and 73‐22, Univ. of California, Berkeley, Calif.
5.
Lamb, R. C. (1985). “Seismic analysis of nonlinear multistory shear‐beam structures,” thesis presented to the University of California, Irvine, Calif., in partial fulfillment of the requirements for the degree of Master of Science.
6.
Nau, J. M. (1983). “Computation of inelastic response spectra.” J. Engrg. Mech., ASCE, 109(1), 279–288.
7.
Newmark, N. M. (1959). “A Method of Computation for Structural Dynamics,” J. Engrg. Mech. Div., ASCE, 85(3), 67–94.
8.
Villaverde, R. (1984). Discussion of “Computation of inelastic response spectra” by J. M. Nau. J. Engrg. Mech., ASCE, 110(1), 150–151.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 1January 1989
Pages: 228 - 233

History

Published online: Jan 1, 1989
Published in print: Jan 1989

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Authors

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Roberto Villaverde, Associate Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of California, Irvine, CA 92717
Russell C. Lamb
Formerly Grad. Student, Dept. of Civ. Engrg., Univ. of California, Irvine, CA 92717

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