EFFECTS OF NON-CLASSICAL BOUNDARY CONDITIONS ON THE FREE VIBRATION RESPONSE OF A CANTILEVER EULER-BERNOULLI BEAMS

被引：0

作者：

Afras A. ^{[1
]}

El Ghoulbzouri A. ^{[1
]}

机构：

[1] Laboratory of Applied Sciences, National School of Applied Sciences Al Hoceima, Tetouan, University Abdelmalek Essaadi

来源：

Diagnostyka | 2023年 / 24卷 / 01期

关键词：

boundary conditions; DTM; free vibration; natural frequency; non-dimensional stiffness;

D O I：

10.29354/diag/158075

中图分类号：

学科分类号：

摘要：

In this article, the problem of the free vibration behavior of a cantilever Euler-Bernoulli beam with various non-classical boundary conditions, such as rotational, translational spring, and attached mass is investigated. For describing the differential equation of the system. An analytical procedure is proposed firstly, and a numerical method based on the differential transform method DTM is developed in order to validate the obtained results. A parametric study for various degenerate cases is presented with the aim to analyze the influence of rotational stiffness, vertical stiffness, and mass ratio on the free vibration response of the beam, particularly on its modal characteristics. The results show that the non-classical boundary conditions significantly affect the natural frequency and mode shapes of the studied beam system in comparison to the case of a classical boundary conditions such as Simply supported, clamped-clamped, etc. The comparison between the obtained results based on the proposed analytical solution and numerical scheme, and those available in the literature shows an excellent agreement. © 2023 by the Authors.

引用

共 16 条

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