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。
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.
出处
《工程力学》
EI
CSCD
北大核心
2010年第12期8-13,共6页
Engineering Mechanics
基金
国家自然科学基金项目(51078306)
西安建筑科技大学人才科技基金项目(RC1027)
西安建筑科技大学重大科技项目创新基金(ZX0901)
陕西省重点学科建设专项资金项目(E01004)
关键词
精细传递矩阵法
大跨度桥梁
地震反应
频域
多点输入
precise transfer matrix method
long-span bridge
seismic response
frequency domain
multi-support
