对称布置2根单侧加劲肋的有效刚度

Effective Rigidity of two one-side stiffeners arranged symmetrically

针对对称布置2根单侧加劲肋的加劲板在单轴受压屈曲分析中的有效刚度问题.用隔离体分析法,分别对加劲肋和被加劲板进行二阶分析,考虑加劲肋自由扭转、约束扭转和剪切变形的影响,通过板和加劲肋在连接处的位移协调条件,得到3种屈曲模态下加劲板的屈曲方程和加劲板参与加劲肋工作的有效宽度解析表达式,获得对称布置2根单侧加劲肋的有效扭转刚度和有效抗弯刚度的表达式,相比于布置一根加劲肋的加劲板的结果,两者有较大不同.与有限元模拟结果进行分析比对表明,获得的有效刚度公式具有良好精度,适用于任意开口和闭口截面的单侧加劲肋板.

The buckling of plates with two one-sided stiffeners arranged symmetrically under uniform compression was analyzed to determine the effective stiffness of one-side stiffeners.Second order analyses were conducted for the isolated stiffener and the plate acted by their interactive forces,and they are combined to satisfy the continuity conditions in the longitudinal strains and the deflections on the connecting line.The effect of the free and warping torsion and the shear deformation in the stiffener was included.The critical equations for 3buckling modes were obtained.Analytic expression of the effective bending and torsion stiffness and the effective breadth were found for each bucking mode.Comparing the plate with only one one-sided stiffener,the effective widths of the plate taking part in the function of the stiffener were different.Comparing with the results of ANASYS analysis,the analytic solution has excellent accuracy regardless of the shapes of the stiffeners.