Time History Earthquake Response Analysis Using Causal Hysteretic Damping Model

Abstract eng:
A number of experiments indicate that the internal damping corresponding to the energy dissipation of many materials is essentially frequency independent. Accordingly, an analysis model that can express such characteristics (called a hysteretic damping model) in the time domain is needed. Although a great number of investigations into this subject have been carried out, there are few practical methods. In this paper, a simple and practical hysteretic damping model that can be applied to time history response analyses is proposed. First, a unit imaginary function that is a principle factor of the hysteretic damping model is considered, and a causal function approximating to this is selected. This function is transformed to the impulse response in the time domain. The proposed causal hysteretic damping model is made using 2h times the impulse response, where h is the damping ratio. Next, the Biot model is described and the characteristics of the impedance and the impulse response of the model are compared with those of the proposed model. Then, in order to confirm the applicability and the efficiency of the proposed model to time history response analyses, earthquake response analyses of example models are carried out.

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