Measuring Absorbed Cyclic Energy in Reinforced Concrete Beams
Publication: Journal of Structural Engineering
Volume 122, Issue 9
Abstract
In attempting to define structural damage due to earthquakes, various damage indices have been proposed. Some of these indices account for the damage due to absorbed cyclic energy using the hysteretic behavior of the material. The primary difficulty with calculating the damage lies in modeling the hysteretic behavior of the material. Additionally, detailed ground motion records must exist to provide the input to the model. Natural frequencies have been shown to decrease with increasing damage. These changes in frequency can be related to decreases in stiffness through a perturbation solution of the eigenvalue problem. By reformulating the problem as a constrained minimization problem, the reductions in stiffness may be located. This paper proposes a relationship between these calculated stiffness reductions and the amount of absorbed cyclic energy. With this relationship defined, a method of calculating damage in beams is proposed. This method does not need a model for the hysteretic behavior of reinforced concrete, bypasses the need for performing nonlinear analysis, and does not require ground-motion records. This method would not be limited to calculating the average structural damage.
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Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 9 • September 1996
Pages: 1110 - 1113
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Sep 1, 1996
Published in print: Sep 1996
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