网架结构特征值屈曲分析的数值方法  

A Numerical Method for Eigenvalue Buckling Analysis of Grid Structures

作　　者：乐风江[1,2] 杨富儒 方希兵 赵文[1,2] YUE Fengjiang;YANG Furu;FANG Xibing;ZHAO Wen(Department of Civil Engineering,Xinjiang University,Urumqi 830047,China;Xinjiang Key Laboratory of Building Structure and Earthquake Resistance,Xinjiang University,Urumqi 830047,China;College of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]新疆大学建筑工程学院,乌鲁木齐830047 [2]新疆大学,新疆建筑结构与抗震重点实验室,乌鲁木齐830047 [3]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《工业建筑》2023年第11期161-167,共7页Industrial Construction

基　　金：新疆维吾尔自治区自然科学基金项目(2016D01C064);新疆建筑结构与抗震重点实验室开放课题(20200305)。

摘　　要：讨论和证明了网架结构特征值屈曲分析中的单元选用应采用多段梁单元。通过铰支受压杆和铰接桁架的稳定性分析,对比解析解与近似解,指出单元选择的关键在于合适的形函数。通过分别采用杆单元、不同形函数的不分段与分段的梁单元(多段梁单元)对单一网架结构和考虑下部框架的网架进行特征值屈曲分析,对比表明:采用杆单元对网架进行特征值屈曲分析时,其最低阶屈曲荷载系数过大;采用高阶形函数的梁单元若不分段,可以得出较为准确的屈曲荷载系数,但屈曲模态不能反映杆件屈曲;采用梁单元并考虑分段,可以求得较为准确的临界荷载,其屈曲模态合理,能够反映杆件屈曲。It was discussed and proved that the element selection in eigenvalue buckling analysis of grid structure should adopt multi-section beam element.The stability of the hinged compression rod and the hinged truss was analyzed,and the analytical solution was compared with the approximate solution.It was pointed out that the key to element selection lies in the appropriate shape function.The eigenvalue buckling analysis of the single grid structure and the grid considering the lower frame was carried out by using the rod element,the non-segmented beam element and the segmented beam element(multi-segment beam element).Among them,the beam element considered different shape functions.The research showed that the lowest-order buckling load factor was too large for the eigenvalue buckling analysis of the grid frame using rod elements.However,if the beam element using higher-order shape functions was not segmented,a more accurate buckling load factor could be obtained,but the buckling mode could not reflect the member buckling.Using beam elements and considering segmentation,a more accurate critical load could be obtained,and its buckling mode could reflect the member buckling.

关 键 词：网架结构 稳定 特征值屈曲分析 杆件屈曲 多段梁单元 

分 类 号：TU356[建筑科学—结构工程]