摘要
对刚性基底上非加载边弹性约束矩形板在固支边均匀面内压力作用下的屈曲行为进行了分析研究。用里兹能量变分法建立确定板屈曲强度的本征值问题,利用满足边界条件的屈曲位移函数导出板屈曲系数计算公式。将该方法用于矩形钢管混凝土钢板局部屈曲的分析和计算,提出了目标板边界约束系数计算公式。试验结果表明,方形钢管混凝土柱钢板局部屈曲强度计算值与试验值吻合良好,钢板边界弹性约束的处理和约束系数的计算方法是有效的。
The buckling behavior of rectangular plate on rigid base is analyzed, of which the unloaded edges are rotationally constrained elastically and the loaded edges are subject to uniform in-plane axial action. Ritz energy method is used to establish an eigenvalue problem to determine the elastic buckling strength of the plate. Using buckling deformation function that satisfies the restraint boundary condition of the plate, an explicit solution of buckling coefficient is obtained. The local buckling strength of concrete filled steel box and the formula for calculating constraint coefficient of the plate are presented. It is shown that the calculating values are in good agreement with test results. The proposed treatment of the boundary condition is verified.
出处
《工程力学》
EI
CSCD
北大核心
2005年第2期174-178,共5页
Engineering Mechanics
基金
湖南省自然科学基金资助项目(01JJY2049)
关键词
板
局部屈曲
里兹能量变分法
弹性约束系数
矩形钢管混凝土
Boundary conditions
Buckling
Concretes
Constraint theory
Eigenvalues and eigenfunctions
Elasticity
Steel
