Residual displacement spectrum of a structural system based on a two-dimensional yield surface plasticity model subjected to bi-directional earthquake excitations

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (14) : 40-46.

LIU Bali1,2，HU Jinjun1,2，XIE Lili1,2

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Abstract

Due to the multi-dimensionality of earthquake excitations and spatial coupling of residual displacement responses, the residual displacement demand assessment of a structure subjected to single-directional earthquake excitation is usually not accurate enough.In the study, a single-mass dual-degree of freedom (SMDDOF) system under bi-directional earthquake excitations was concerned.A spectral model of residual displacements of the SMDDOF system with constant-strength performance subjected to bi-directional earthquake excitations was proposed.The residual displacement spectra of single degree of freedom (SDOF) systems subjected to single-directional earthquake excitations and SMDDOF systems under bi-directional earthquake excitations were compared and analyzed.140 sets of earthquake records in different site condition were used as the excitations, and the statistical average residual displacement spectrum of the SMDDOF system with constant-strength performance was established.The results were statistically organized to evaluate the effect of the site condition and stiffness ratio.It is concluded that, in some instances, the residual displacement demands of the structure are found to be underestimated when the SDOF system is adopted.In the medium-long period region, the values of residual displacements of the SMDDOF system subjected to bi-directional earthquake excitations increase with the increase of the stiffness ratio.The influences of the coupling effect of restoring force on the residual displacement response of the structure depend on the mutual competition of the damage performances along two principal axial directions of the SMDDOF system.The weakening of the stiffness in one principal axial direction will increase the residual displacement demand in that principal axial, while the residual displacement demand in the other principal axial will decrease.

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bi-directional earthquake excitation / residual displacement / stiffness ratio / site condition / lateral strength ratio

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LIU Bali，HU Jinjun，XIE Lili. Residual displacement spectrum of a structural system based on a two-dimensional yield surface plasticity model subjected to bi-directional earthquake excitations[J]. Journal of Vibration and Shock, 2021, 40(14): 40-46

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