轴对称脱层圆板的后屈曲分析  

Analysis of Axisymmetric Delamination Postbuckling in Circular Plate

作　　者：陈得良[1] 傅衣铭[1] 

机构地区：[1]湖南大学工程力学系

出　　处：《湖南大学学报（自然科学版）》2004年第4期106-112,共7页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(19872024)

摘　　要：基于VonKarman板理论,考虑横向剪切变形,建立了轴对称脱层圆板的后屈曲控制方程.应用正交配点法,将轴对称脱层圆板的后屈曲控制方程、边界条件、以及联接条件转化为非线性方程组,然后进行迭代求解.讨论了不同脱层深度和脱层半径对屈曲及后屈曲特性的影响,发现脱层屈曲荷载随着脱层深度的减小和脱层半径的增大而减小,后屈曲模态也表现出不同的形式.最后与有关文献的结果进行了比较,二者相当吻合.Based on the Von Karman plate theory, and considering the effect of transverse shear, this paper studies the axisymmetric delamination postbuckling of circular plate with delamination. And the postbuckling governing equations were derived by modeling the delaminated circular. The governing equations, boundary conditions and joint conditions for axisymmetric delaminated circular plate were transformed into a groups of nonlinearity collocation point equations by using the orthogonal of point collocation method. And the nonlinearity items in the equations were obtained through linearity iteration .For various delaminated depth and radius, the character of buckling and postbuckling were discussed, and it was found that the critical load was decreased with the increase of the delaminated radius and the decrease of the delaminated depth. The result was compared with that from relevant literature and they are identical to each other.

关 键 词：脱层 轴对称 层合圆板 正交配点法 屈曲 后屈曲 

分 类 号：O345.6[理学—固体力学]