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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24315

Title: Hysteretic damping revisited
Authors: J.T. Chen;D.W. You
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: integral-differential equation;hysteretic damping;time-domain approach;Hilbert transform;causality and dissipation energy
Date: 1997-04
Issue Date: 2011-10-20T08:11:18Z
Publisher: Advances in Engineering Software
Abstract: Abstract:An integral-differential equation (IDE) in the time domain has been proposed for the free vibration of a single-degree-of-freedom (SDOF) system with hysteretic damping which is different from the conventional complex stiffness model as employed in the frequency domain (Chen & You, Proposal NSC 85-2211-E-019-004, National Taiwan Ocean University, 1996; Proc. 3rd National Congress Structural Engineering, 1996; BETECH96 Conf., 1996).1–3 The integral of the Hilbert transform is embedded in the IDE and is calculated in the Cauchy principal value sense in Refs 1–3. In this paper, we extend the SDOF system to multi-degrees-of-freedom systems and continuous systems. Also, the ratio of dissipation energy vs time for SDOF systems is constructed for the free vibration and compared with viscous damping. Numerical examples for different loss factors have been presented and the lack of dependence of the exciting frequency on the dissipation energy has been confirmed when the maximum responses are the same.
Relation: 28(3), pp.165-171
URI: http://ntour.ntou.edu.tw/handle/987654321/24315
Appears in Collections:[河海工程學系] 期刊論文

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