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Vibrations of multiple delaminated beams

机译:多个分层梁的振动

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The free vibrations of beams with two enveloping delaminations have been solved analytically without resorting to numerical approximation. The multiple delaminated beam is analyzed as several interconnected Euler-Bernoulli beams. The differential stretching and the bending-extension coupling are considered in the formulation. The influence of the sizes and locations of the delaminations on the primary and secondary frequencies and mode shapes of a beam are investigated. For clamped-clamped beams, the primary frequency shows a high sensitivity for the long delamination but a low sensitivity for the second short delamination, while for the secondary frequency, the sensitivity is high for both delaminations. For cantilever beams, the primary and secondary frequencies show a high sensitivity for the long delamination but low sensitivity for the second short delamination. Results are compared with the analytical and experimental data reported in the literature to verify the validity of the present model.
机译:具有两个包络分层的梁的自由振动已通过解析方法解决,无需借助数值逼近。将多个分层梁分析为几个相互连接的欧拉-伯努利梁。在配方中考虑了差异拉伸和弯曲-拉伸耦合。研究了分层的大小和位置对光束的初次和二次频率以及振型的影响。对于夹钳式梁,一次剥离对一次剥离的主频率灵敏度高,而第二次剥离对一次剥离的灵敏度低,而对于次要频率,两次剥离的灵敏度都很高。对于悬臂梁,主频率和次频率对长时间分层显示较高的灵敏度,但对第二次短期分层显示较低的灵敏度。将结果与文献中报道的分析和实验数据进行比较,以验证本模型的有效性。

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