任意铺层复合材料加筋板屈曲/后屈曲行为的解析解
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Analytical solution for buckling and postbuckling behavior of stiffened arbitrary laminated composite panels
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    摘要:

    给出了一种求解任意铺层复合材料加筋板屈 曲/后屈曲问题的解析方法。首先将加筋板简化为受弹簧约束的层合板,而后通过构造位移函数,并利用伽辽金法得到了加筋板压缩、剪切和压剪载荷下的屈曲/后屈曲解析解。求解中引入了无量纲参数,使得结果更具一般性;在后屈曲行为中考虑了初始缺陷和由耦合刚度引起的前屈曲挠度,使得结果更加准确。通过与有限元结果的比较,讨论了几何参数、弹簧刚度等对解的影响。最后将该方法应用于T形加筋对称铺层复合材料加筋板的屈曲/后屈曲分析中,考虑T形筋对复合材料层板粘结区的刚度增强作用,采用刚度平均化方法引入增强效果,并与两种T形筋刚度简化模型以及有限元结果进行了比较,验证刚度平均化方法对计算加筋板屈曲/后屈曲行为的有效性。

    Abstract:

    An analytical solution for the buckling and postbuckling behavior of stiffened arbitrary laminated composite panels is presented. The stiffened composite panels are modeled as panels with elastic restrains. The analytical formulations for the buckling and the postbuckling behavior subjected to compression, shear as well as combined compression and shear loads are derived by constructing the deflection function and using Galerkin method. Nondimensional parameters are introduced to express the solution in a simple formulation. The initial imperfections and prebuckling deflection are considered to predict the postbuckling behavior more exactly. Comparisons of the finite element method (FEM) are conducted to evaluate the effect of the geometric parameters, spring stiffness, etc. Considering the web of stiffener reinforced to the panels, the averaged stiffness method is applied to the buckling and postbuckling analysis of composite panels with T-shaped stiffener. Compared with analytical simplified models and FEM results for the stiffened composite panels with T-shaped stiffeners, the good accuracy of the averaged stiffness methods in predicting the buckling and postbuckling behavior is demonstrated.

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刘毅 聂坤 戴瑛.任意铺层复合材料加筋板屈曲/后屈曲行为的解析解[J].南京航空航天大学学报,2018,50(1):1-10

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  • 在线发布日期: 2018-03-14
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