In this article the dynamic buckling behaviour of parametrically excited delaminated composite beam structures are investigated using a two-dimensional finite element discretised planar model. To reduce the complexity of the numerical model and to be able to maintain the desired accuracy of the whole system the so called Craig-Bampton fixed interface model reduction technique is extended. The main concept is to take the vibration and buckling properties of the elastic structure into account during the dynamic stability calculations. Using the extended model reduction technique and the primal assembly technique the reduced model of the planar delaminated beam is created. On the reduced assembly the effect of the number of kept mode shapes, the delamination length and position are investigated on the natural frequencies and critical buckling forces. A similar set of parametric analysis is carried out to study the dynamic stability properties of the reduced delaminated beam structures using Bolotin’s harmonic balance method. Based on our findings we propose an optimal number of kept mode shapes on each reduced substructure during the dynamic stability analysis to reach the desired accuracy on the space of the investigated parameters.

在本文中，使用二维有限元离散平面模型研究了参数激励分层复合梁结构的动态屈曲行为。为了降低数值模型的复杂性并能够保持整个系统所需的精度，扩展了所谓的 Craig-Bampton 固定界面模型缩减技术。主要概念是在动态稳定性计算中考虑弹性结构的振动和屈曲特性。使用扩展模型简化技术和原始组装技术，创建了平面分层梁的简化模型。在简化的组件上，研究了保持模式形状数量、分层长度和位置对固有频率和临界屈曲力的影响。使用 Bolotin 的谐波平衡方法进行了一组类似的参数分析，以研究减少分层梁结构的动态稳定性特性。根据我们的研究结果，我们在动态稳定性分析期间提出了每个简化子结构上保持的最佳模式形状数，以在研究参数的空间上达到所需的精度。