NEHRP Clearinghouse

Title
Seismic Response of Simple Nonlinear Hysteretic Structures.
File
PB88232376.pdf
Author(s)
Malushte, S. R.; Singh, M. P.
Source
National Science Foundation, Washington, DC., April 1987, 102 p.
Identifying Number(s)
VPI-E-87-4
Abstract
Seismic response of single-degree-of-freedom oscillators with elasto-plastic and bilinear hysteretic stiffness characteristics is studied using exact time history analysis and equivalent linear analysis performed with five non-hysteretic nonlinear models which are equivalent to a hysteretic model. To use the nonlinear models, the technique of the stochastic linearization is adopted with the assumption of a zero mean, stationary Gaussian response. The accuracy of the equivalent linearization results is checked by comparing them with the time history ensemble results obtained with the exact time history solution developed in this work. It is observed that the comparison is satisfactory for responses corresponding to low ductility ratios. For large inelastic deformations, the response is not zero mean, and the equivalent linearization results obtained with equivalent nonlinear models are not satisfactory. In such a case a direct linearization of the hysteretic model is likely to improve results.
Keywords
; Structural engineering; Earthquake resistant structures; Models; Mechanical hysteresis; Vibration; Elastic after effect; Dynamic response; Shock spectra; Oscillators; Nonlinear systems; Ductility; Earthquakes; Dynamic structural analysis