有裂缝的季莫申科梁的自然频率

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-10-06 DOI:10.1016/j.wavemoti.2024.103420

E.I. Shifrin, I.M. Lebedev

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引用次数: 0

摘要

本研究考虑了计算被有限数量的横向开口裂缝削弱的季莫申科梁的固有频率问题。该问题针对两种已知的裂缝模型进行求解。在一个模型中，每条裂缝都由一个无质量的旋转弹簧模拟。在另一个模型中，每条裂缝都由两个无质量弹簧（一个拉伸弹簧和一个旋转弹簧）模拟。以前成功应用于欧拉-伯努利梁的计算带裂缝振动梁固有频率的有效方法，现在扩展到了季莫申科梁的情况。所开发的方法可以大大降低行列式的阶数，行列式的零点即为自然频率。研究考虑了数值实例。在可能的情况下，将结果与已知结果进行比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Natural frequencies of a Timoshenko beam with cracks

A problem of calculating of natural frequencies of a Timoshenko beam weakened by a finite number of transverse open cracks is considered. The problem is solved for both known crack models. In one model every crack is simulated by a single, massless rotational spring. In the other model every crack is simulated by two massless springs (one extensional and another one rotational). An effective method for calculation of the natural frequencies of a vibrating beam with cracks, which was previously successfully applied to Euler-Bernoulli beams, is extended to the case of Timoshenko beam. The developed method makes it possible to significantly reduce the order of the determinant, the zeros of which are natural frequencies. Numerical examples are considered. The results are compared with the known where it is possible.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.