The Earthquake Response of Deteriorating Systems
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This thesis is concerned with the earthquake response of
deteriorating systems. A model for stiffness degrading or
deteriorating systems is used to describe six different single-degree-of-freedom systems. A numerical investigation of the
response of these six systems is performed using an ensemble of
twelve earthquakes. The response is studied at nine nominal
periods of oscillation. The numerical results are presented as
response spectra corresponding to six different ductilities. An approximate analytical method for calculating the earthquake
response of deteriorating systems from a linear response
spectrum is presented. The method, called the average stiffness
and energy method, is based upon the premise that a linear system
may be defined which is in some sense equivalent to the deteriorating
system. The criterion for equivalence in this method is that
the average stiffness of the deteriorating system be equal to the
stiffness of the linear system and the average energy dissipated
by the linear system be the same as the average energy dissipated
by the deteriorating system. The new analytical method is compared to existing methods.
Comparison with the numerical results is also made. Based upon
these comparisons, it is concluded that the average stiffness and
energy method represents a significant improvement over currently
available methods for predicting the earthquake response of
deteriorating and nondeteriorating systems.