An improved displacement input method for non-uniform seismic excitation: error analysis and application

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (16) : 85-92.

LI Ning1,2，CHEN Hao1，LI Zhongxian1,2

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Abstract

The potential damage effects of spatial seismic ground motions are leading to complicated structure response. They should be considered reasonably in seismic response calculation. In this study, the errors and sources of the displacement input method (DIM) in the calculation of non-uniform seismic response of long-span structures are studied. Considering Rayleigh damping, the seismic responses and errors from different calculation methods for the long-span bridge structure are analyzed. The applicability of DIM under the influence of different types of ground motions were tested, and the reasons for the errors are given. Then, the difference between commonly used multi-point excitation input algorithms and simulation theory is discussed. Finally, the improved displacement input method (IDIM) is proposed and verified. The results showed that when DIM is used to solve the non-uniform seismic response of long-span structures, there is an error that cannot be ignored. The magnitude of error is related to the characteristics of input ground motion and the stiffness proportional damping coefficient, β. And it increases with the increase of β. DIM error comes from neglecting the damping term of (which is related to the incremental velocity of ground motion and β). By comparing with the existing methods, DIM is no longer suitable for the cases of pulse-like ground motions and large β (long natural period). Further, the IDIM proposed are of good accuracy, easy to implemented and reliable for structure analysis subjected to multi-support excitation. At last, a general flow chart of structural response analysis under non-uniform seismic excitation is proposed, which takes pulse effect and residual displacement into account and avoids the rounding error of large stiffness and large mass methods. The research results can be applied to dynamic response analysis of large structures subjected to non-uniform seismic excitations.
Keywords: non-uniform excitation; displacement input method; multi-point multi-dimension; error analysis; Ray-leigh damping

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non-uniform excitation / displacement input method / multi-point multi-dimension / error analysis / Ray-leigh damping

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LI Ning1,2，CHEN Hao1，LI Zhongxian1,2. An improved displacement input method for non-uniform seismic excitation: error analysis and application[J]. Journal of Vibration and Shock, 2022, 41(16): 85-92

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