Bounds on Earthquake Response of Structures
Publication: Journal of Engineering Mechanics
Volume 112, Issue 4
Abstract
Dynamics of an elastic structure subjected to simultaneous horizontal and vertical earthquake ground accelerations are considered. The Liapunov method is used and several general bounds on the maximum responses are developed. Using a stored energy and an optimal Liapunov function, specific bounds on the motion of multidegree‐of‐freedom structures are obtained. Particular attention is given to the case of a single‐degree‐of‐freedom column structure subjected to horizontal‐vertical earthquake excitations. It is observed that the vertical acceleration enhances the peak horizontal response. The predicted bounds are compared with the response spectra of several earthquakes. It is shown that when an appropriate choice for the effective time duration is used the estimated maximum responses become quite reasonable.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 112 • Issue 4 • April 1986
Pages: 351 - 369
Copyright
Copyright © 1986 ASCE.
History
Published online: Apr 1, 1986
Published in print: Apr 1986
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