针对目前普遍采用的二阶分析方法存在的问题,分别推导了考虑梁柱效应的受拉与受压杆件的位移插值函数。利用级数展开,提出了同时适用于受拉与受压情况、考虑梁柱效应的杆件失稳前计算模型。引入杆件失稳判别条件与杆件失稳后计算模型,建立了考虑杆件失稳的单层网壳结构二阶分析计算方法。算例分析表明:该文方法能较好体现二阶效应与杆件失稳对结构位移与承载力的影响,具有较高的计算精度与效率。不考虑杆件失稳会高估结构承载力,不考虑二阶效应无法准确计算结构响应,因此对单层网壳结构进行分析计算时应考虑杆件失稳,且采用二阶分析方法。
As there are some insufficiencies in the current second-order analysis methods adopted universally,displacement interpolating equations for tension and compression members considering second order effect are deduced respectively.By a series expansion,the pre-buckling member calculation model considering beam-column effect is deduced,which can be applied to both tension and compression members.The criterion of member buckling and the post-buckling member calculation model are introduced,and the second-order calculation method for a single layer latticed shell considering member buckling is established.Numerical analysis results,which incarnate the influence to the displacement and bearing capacity of the structure led by second-order effect and member buckling,show that it is a method of higher effectiveness and accurateness.The structural bearing capacity will be overrated if the member buckling is neglected,and the accurate structural responses cannot be obtained if the second order effect is neglected.Thusly the member buckling should be considered and the second-order calculation method should be used to make an accurate analysis of single layer latticed shells.