基于包络圆的改进振型分解反应谱法与内力极值点的甄别  

Improved response spectrum method of mode decomposition based on envelope circle and identification of extreme points of internal force

作　　者：李建波 洪海燕 LI Jianbo;HONG Haiyan(Department of Construction Engineering,Dalian University of Technology,Dalian 116024,China;State Nuclear Electric Power Planning Design&Research Institute Co.,Ltd.,Beijing 100095,China)

机构地区：[1]大连理工大学建设工程学部,辽宁大连116024 [2]国核电力规划设计研究院有限公司,北京100095

出　　处：《地震工程与工程振动》2020年第6期122-130,共9页Earthquake Engineering and Engineering Dynamics

基　　金：国家重点研发计划项目(2016YFB0201003);国家自然科学基金项目(51779222);中央高校基本科研业务费(DUT20TD209)。

摘　　要：包络圆法是振型分解反应谱法的更符合实际的显著发展,但在极值内力点选取方面精确性与效率均有不足,影响其广泛应用。将遗传算法运用到内力包络圆的离散中,并将包络圆法应用到钢筋混凝土偏心受拉(压)构件在地震作用下静动内力组合配筋计算过程中,给出使用该方法与传统SRSS、CQC方法相比配筋量的节省裕度。用遗传算法离散包络圆可以获得配筋率的极大值点,此种离散方法与现有离散方法如虚拟模态法相比,提升了准确度、减少了计算量。与传统的SRSS、CQC方法相比,包络圆法可以考虑不同内力发生的同时性,将包络圆法应用于钢混结构偏心受力构件中,与传统的振型分解反应谱法相比可节省一定的配筋率,并给出影响节省配筋率大小的因素。Envelope circle method is a significant development of mode decomposition response spectrum method,which is more in line with the actual situation.However,its accuracy and efficiency in the selection of extreme internal force points are insufficient,which affects its wide application.The genetic algorithm is applied to the discretization of the internal force envelope circle,and the envelope circle method is applied to the calculation of the static and dynamic internal force combination reinforcement of reinforced concrete eccentric tension(compression)members under the earthquake action.The margin of saving reinforcement amount by using this method compared with the traditional SRSS and CQC method is given.The maximum value of reinforcement ratio can be obtained by using genetic algorithm to discretize the envelope circle.Compared with the existing discretization methods such as virtual mode method,this discretization method improves the accuracy and reduces the calculation amount.Compared with the traditional SRSS and CQC methods,the envelope circle method can consider the simultaneity of different internal forces.The envelope circle method can be applied to eccentrically stressed members of steel-concrete structures,which can save certain reinforcement ratio,and the results show that the proportion of each internal force is different and the reinforcement ratio is saved.

关 键 词：包络圆法 遗传算法 离散 配筋计算 

分 类 号：TU381[建筑科学—结构工程]