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Investigation of bounds for the maximum response of earthquake excited systems

DEPARTMENT OF MECHANICAL ENGINEERING UNIVERSITY OF WASHINGTON, SEATTLE, WASHINGTON
THE BOEING COMPANY, SEATTLE, WASHINGTON

Abstract

Bounds for the maximum responses of multi-degree-of-freedom linear systems excited by earthquakes are investigated. The response(shock)-spectrum method yields an exact upper bound directly. A previously proposed semi-empirical lower bound based on simple pulse excitation is examined for a class of four-degree-of-freedom systems with earthquake excitation.

Using these bounds the root-mean-square estimator for the true response is evaluated. It is also shown that the addition of the lower bound to the response spectrum method produces a more valuable structural design tool.

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