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BUCKLING ANALYSIS OF LAMINATED COMPOSITE BEAMS WITH MULTIPLE DELAMINATIONS

机译:多层复合材料层合梁的屈曲分析

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摘要

Buckling analysis of laminated composite beams with multiple delaminations based on a layer-wise finite element model is presented. The approach used accounts for transverse opening displacements as well as in-plane slippage of adjacent layers in delamination regions. However, the mathematical response of a delaminated structure sometimes includes physically inadmissible mode shapes. The lowest eigenvalue corresponding to a physically admissible mode is computed in the present study by reformulating the eigenvalue problem as a constrained minimization of the Rayleigh's quotient. Results are presented for the case where loading is applied uniformly in each layer to show the significance of the no-penetration condition. The buckled shapes are shown to be complex modes which are a strong function of the laminate stacking sequence and includes the interaction of several laminae. Buckling response of various delaminated and undelaminated stacking sequences is discussed next for the more common load application of constant strain. Load reduction due to delamination buckling and mode shape as a function of delamination length are discussed relative to laminate stacking sequence.
机译:提出了基于分层有限元模型的多层分层叠合梁的屈曲分析。所使用的方法考虑了横向开口位移以及分层区域中相邻层的面内滑动。但是,分层结构的数学响应有时包括物理上不允许的模式形状。在本研究中,通过将特征值问题重新格式化为瑞利商的约束极小值,来计算与物理允许模式相对应的最低特征值。给出了在每一层均匀施加载荷的情况下的结果,以显示无穿透条件的重要性。弯曲形状显示为复杂的模式,这是层压板堆叠顺序的强大功能,并且包括多个薄片的相互作用。接下来讨论各种分层和非分层堆叠顺序的屈曲响应,以求更恒定的应变载荷应用。相对于层压板堆叠顺序,讨论了由于分层屈曲和模态形状而引起的载荷降低(取决于分层长度)。

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