Transverse Stiffness of a Sinusoidally Corrugated Plate
Transverse Stiffness of a Sinusoidally Corrugated Plate
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DOI：
10.1080/08905459508905246
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
R. A. Shimansky;M. Lele
中科院分区：
文献类型：
--
作者：
R. A. Shimansky;M. Lele
摘要推导了正弦波纹板初始横向刚度的解析模型，该模型考虑了拉伸、剪切和弯曲的变形。开发了一种基于厚度和波纹的无量纲图，用于确定一系列板几何形状的横向刚度。该模型表明，对于大多数波纹板的横向刚度比相同厚度的未组合板的横向刚度显著降低。对于薄板，得到了初始横向刚度的简单近似多项式表达式。对于波纹度小的厚板，横向刚度相对于纵向刚度是不可忽略的。采用线弹性二维有限元模型验证了该模型的正确性。
Abstract An analytical model for the initial transverse stiffness of a sinusoidally corrugated plate is derived, incorporating deformations due to extension, shear, and bending. A nondimensional plot is developed for determining transverse stiffness based on thickness and corrugation for a range of plate geometries. This model shows that for most corrugated plates the transverse stiffness is dramatically decreased from that of an uncomigated plate of the same thickness. For thin plates, a simple approximate polynomial expression for initial transverse stiffness is obtained. For thick plates with a small degree of corrugation, transverse stiffness is not negligible relative to longitudinal stiffness. The exact model is verified using a linear-elastic two-dimensional finite element model.