单边接触薄壁钢面板受压屈曲分析

Unilateral contact buckling of thin-walled steel skin sheet under loading

考虑了芯板材料的抗压和黏结对钢面板的约束作用,提出双模量线性约束模型,采用能量法对单边接触钢面板受压屈曲进行理论分析,通过提出新的位移函数,建立系统总势能方程,运用势能驻值原理推导出钢面板屈曲系数表达式,通过数值求解得到钢面板的屈曲系数.结果表明:钢面板临界屈曲系数Kcr值与受压刚度系数kr1的对数值呈正比关系,当kr1值趋向于0时,Kcr值趋向于定值,并随着黏结刚度系数kr2值的增大而增大;当kr1值趋向于∞时,Kcr值也趋向于定值,此时kr2对Kcr值的影响程度也逐渐明显.结果表明:在芯板受压刚度kr1不变时,适当提高材料黏结刚度可以明显提高钢面板的屈曲系数.

In order to get the influence of inner material stillness on buckling coefficient of steel skin sheet under unilateral contact, the bi-modulus constraint model was adopted to simulate the constraint of inner materials. According to a novel disaplacement function, energy method was used to deduce the buckling coefficient of steel skin sheet by the principle of stationary potential energy. The results show that the buckling coefficient of Kr is directly proportion to the logarithm of compressive stiffness coefficient of krl. When kr1 tends to 0, Kcr approaches a constant value and increases with the increasing of adhesive stiffness coeffi cient kr2. When krl tends to ∞ , Kcr also tends to be a constant value with remarkable influence by kr2. The result shows that an appropriate increase of adhesive stiffness can significantly increase the buckling coefficient of the steel skin sheet when the compression stiffness stays at a constant value.