Analytical solution and application analysis of damper additional damping ratio based on the Bouc-Wen model

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (16) : 10-18.

WU Shan1，HE Haoxiang1，WANG Baoshun1，CHEN Jianwei2

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Abstract

Additional effective damping ratio is an important parameter for evaluating the performance of damped structures. According to the existing design code, the bilinear model should be used to simulate the hysteresis performance of the displacement-dependent dampers. However, the model can only accurately quantify the energy dissipation capacity and additional damping ratio under the fitting displacement. The Bouc-Wen model can accurately quantify the energy dissipation of dampers at all displacement levels, but there is no accurate additional effective damping ratio formula based on this model. Based on the explicit analysis of the Bouc-Wen model, the formula for calculating the additional effective damping ratio of the damper was derived. Based on the experiment data, the accuracies of different models for characterizing the energy dissipation capacity of dampers were analyzed and compared. The parameter analysis of the additional effective damping ratio based on the Bouc-Wen model was carried out, and the variation law and the influence of performance parameters were given. Based on the finite element model analysis, the differences of the dynamic response and the additional effective damping ratios of different models were compared, which further verified the effectiveness and application value of the method in this study.
Key words: damped structure; additional effective damping ratio; Bouc-Wen model; bilinear model; hysteretic energy

Key words

damped structure / additional effective damping ratio / Bouc-Wen model / bilinear model / hysteretic energy

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WU Shan1，HE Haoxiang1，WANG Baoshun1，CHEN Jianwei2. Analytical solution and application analysis of damper additional damping ratio based on the Bouc-Wen model[J]. Journal of Vibration and Shock, 2022, 41(16): 10-18

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