【摘要】 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。更多还原

【Abstract】 Seismic response analysis is an important method for studying seismic ability and safe design of bridges.It has been widely accepted that multi-support seismic impact should be considered during the seismic design of the long-span bridges.This paper presents a new transfer matrix format combining the transfer matrix method with the index computing skills of precision integration method.The necessary transfer matrix can be derived following the iterative formula without the need to solve the differential equations.The method’ formula is simple but can achieve any high-precision in theory,Based the FFt ransformation,the frequency precise transfer matrix of the long-span bridges under the uniform and multi-support of the earthquake is derived,and the dynamic analysis of the long-span bridges in frequency domain is carried out.The calculation validates the precise transfer matrix method.更多还原