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地震反应分析是研究桥梁抗震能力,指导安全设计的重要手段。大跨度桥梁进行地震反应分析时,需要考虑多点输入影响已成为国内外共识。该文将传递矩阵法与精细积分法的指数矩阵运算相结合,建立了一种精细传递矩阵格式。与传统的传递矩阵法相比,其无需求解微分方程,仅按照迭代公式进行计算,就可得到所需要的传递矩阵。该方法公式简明,规律性强,理论上可实现任意高精度的要求。通过傅里叶变换,推导出了大跨桥梁在一致地震输入和多点地震输入下的频域精细传递矩阵,在频域内对大跨度桥梁进行了动力反应分析。算例表明精细传递矩阵法是正确、有效的。
Seismic response analysis is an important means to study seismic capacity of bridges and guide safety design. When carrying out seismic response analysis of long-span bridges, it has become a consensus at home and abroad to consider the influence of multiple inputs. This paper combines the transfer matrix method with the exponential matrix method of the fine integration method to establish a fine transfer matrix format. Compared with the traditional transfer matrix method, it does not need to solve the differential equation, and only needs to calculate the transfer matrix according to the iterative formula. The method has the advantages of conciseness and regularity, and can theoretically achieve any high-precision requirement. Through the Fourier transform, the frequency domain fine transfer matrix of long-span bridges under consistent seismic input and multi-point seismic input is deduced, and the dynamic response of long-span bridges is analyzed in the frequency domain. The examples show that the fine transfer matrix method is correct and effective.