基于绝对位移法的曲线梁桥多维多点非平稳弹塑性随机响应分析

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (10) : 164-173.

论文

李喜梅1,2，赵廷龙1,2，陶铖3

作者信息 +

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

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

Author information +

文章历史 +

摘要

针对当前地震动空间效应下曲线梁桥地震反应分析多采用确定性激励输入且忽略桥梁非线性的情况，采用了多维多点非平稳随机激励对曲线连续梁桥进行弹塑性响应分析。建立非线性有限元模型并降维解耦非平稳地震动EPSD矩阵，采用绝对位移法对桥梁进行非线性时程分析。考虑不同视波速、场地条件、相干性以及平稳与非平稳地震激励，综合分析了曲线连续梁桥的随机响应及其频域特性和时域特性。结果表明：地震动空间效应和地震动的非平稳性对曲线梁桥随机响应影响很大，其中地震动空间效应对桥梁随机响应大小及其频域分布有显著影响，而非平稳性会对随机响应大小及其时变响应趋势产生重要影响。因此，在曲线连续梁桥抗震分析中需充分考虑地震动空间效应和地震动非平稳性，以避免错误估计桥梁抗震性能。提供了全面的分析结果，对加强曲线连续梁桥的抗震设计和评估，从而提高其抗震性能和可靠性具有重要意义。

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.

导出引用

李喜梅1,2，赵廷龙1,2，陶铖3. 基于绝对位移法的曲线梁桥多维多点非平稳弹塑性随机响应分析[J]. 振动与冲击, 2024, 43(10): 164-173

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

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