多点地震输入下结构地震反应分析的频域精细传递矩阵法  

Precise frequency domain transfer matrix method for seismic response analysis of structures under multi-support excitations

作　　者：孙建鹏[1] 李青宁[1] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《建筑结构学报》2010年第2期48-54,共7页Journal of Building Structures

基　　金：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资助项目;陕西省自然科学基础研究计划项目(2005E236)

摘　　要：正确的地震输入方式是研究工程结构抗震性能的首要因素。结构的地震反应分析,需要考虑多点地震输入的影响。将精细传递矩阵理论与拟静力原理相结合,建立多点地震输入下结构地震反应分析的频域精细传递矩阵法。首先,根据梁单元的几何物理关系,建立梁单元的状态传递矩阵;其次,根据傅里叶变换,建立集中质量两侧的状态传递矩阵;然后,根据转折处及分支点处的结构特点,建立转折处及分支点处的状态传递矩阵;最后,根据结构的实际特点,建立结构总的传递矩阵。在上述算法的基础上,编制了计算程序,并进行了相应的算例计算。算例计算结果表明,结构在水平方向地震力的作用下,边柱的地震反应考虑一致激励较为合理;中柱水平方向考虑一致激励较为合理,而竖直方向应考虑多点激励的不利影响。The appropriate method for considering earthquake input is of most importance in seismic analysis of structures. The effects of multi-support excitations should be considered in earthquake response analysis of structures. In this paper, under the combination of refined transfer matrix theory and pseudo-static theorem, precise frequency domain transfer matrix method for structure seismic response analysis under multi-support excitation was developed. First, based on the relationship between geometry and physics of beam element, the state transition matrix of beam element was built. And then, based on the feature of structure hinge part and branch point, the state transition matrixes of hinge part and branch point were built. Finally, according to the actual characteristics of a structure, the total transfer matrix was derived. Such algorithm was compiled in a computational procedure a numerical example was exhibited. The results show that, under the horizontal seismic force, the edge columns should be considered for the uniform excitation in both the horizontal and the vertical directions. For middle columns, the uniform excitation is reasonable in seismic response analysis, however, the disadvantage effects of multi-support excitations should be considered in vertical direction.

关 键 词：精细传递矩阵法 地震反应 频域 多点输入 瑞雷阻尼 

分 类 号：TU311.3[建筑科学—结构工程]