空间刚架稳定性分析的泡函数有限元法  

A bubble-function finite element method for the stability analysis of space frame structures

作　　者：陈梁 陈振中 

机构地区：[1]沈阳航空航天大学航空航天工程学部(院),沈阳110136

出　　处：《沈阳航空航天大学学报》2017年第6期40-45,共6页Journal of Shenyang Aerospace University

摘　　要：将泡函数有限元法理论用于空间刚架的稳定性分析。为了全面地考虑各种载荷因素对几何刚度矩阵的影响,提出了变几何刚度法和失稳判据。为了解决单元坐标系方位的确定这一个性化情况很突出的问题,运用三点定位算法编制了规范的计算程序。在一杆一单元的情况下,运用这三大理论编程计算出了比较精确的临界载荷值,说明在空间刚架的稳定性计算方面,泡函数有限元法具有突出的简洁性和精确性。Stability of space frame structures w as analyzed by a Bubble-Function Finite Element M ethod( BFFEM) in this paper. Both a variable geometric stiffness method and a buckling criterion were presented w ith the consideration of various load influences on the geometric stiffness matrix. A formal program w as w ritten by a Three Points M ethod to define different element coordinate systems. For one bar one element,a very precise critical load for the space frame w as calculated using the above three theories,w hich indicated that the BFFEM w as simple and accurate for analyzing the stability of space frame structures.

关 键 词：空间刚架结构 稳定性分析 泡函数 变几何刚度法 三点定位法 有限单元法 

分 类 号：O30[理学—力学] TU328[建筑科学—结构工程]