Multidimensional and multipoint elastic-plastic stochastic response analysis of curved beam bridges based on the absolute displacement method

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (10) : 164-173.

LI Ximei1,2，ZHAO Tinglong1,2，TAO Cheng3

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Abstract

The seismic response analysis of curved continuous beam bridges under the spatial effects of seismic motion often employs deterministic excitation inputs while neglecting the nonlinearity of the bridges. In this study, elastic-plastic response analysis was conducted on curved continuous beam bridges using multidimensional and multipoint non-stationary random excitations. A nonlinear finite element model was established, and the non-stationary seismic motion's EPSD (Energy Power Spectral Density) matrix was reduced and decoupled through dimensionality reduction. Nonlinear time history analysis of the bridges was carried out using the absolute displacement method. The study considered different apparent wave velocities, site conditions, coherence, and stationary/non-stationary seismic excitations to comprehensively analyze the random response, frequency-domain characteristics, and time-domain characteristics of curved continuous beam bridges. The results indicate that the spatial effects of seismic motion and the non-stationarity of the seismic motion have a significant impact on the random response of curved beam bridges. The spatial effects of seismic motion have a notable influence on the magnitude and frequency-domain distribution of the bridge's random response, while the non-stationarity affects both the magnitude and the temporal response trend of the random response. Therefore, it is essential to fully consider the spatial effects of seismic motion and the non-stationarity in the seismic analysis of curved continuous beam bridges to avoid inaccurately estimating the seismic performance of the bridges. The comprehensive analysis results provided in this study are of great significance for strengthening the seismic design and evaluation of curved continuous beam bridges, thereby improving their seismic performance and reliability.

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curved continuous beam bridge / multi-dimensional multi-point ;pseudo excitation method / non-stationarity / absolute displacement / nonlinear / seismic motion spatial effects

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LI Ximei1,2，ZHAO Tinglong1,2，TAO Cheng3. Multidimensional and multipoint elastic-plastic stochastic response analysis of curved beam bridges based on the absolute displacement method[J]. Journal of Vibration and Shock, 2024, 43(10): 164-173

References

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