单位长度质量对自由振动简支瑞利梁的影响

Q3 Engineering

WSEAS Transactions on Fluid Mechanics Pub Date : 2022-10-13 DOI:10.37394/232013.2022.17.17

O. O. Agboola, Talib EH. Elaikh, J. G. Oghonyon, Olajide Ibikunle

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引用次数: 2

摘要

本文采用微分变换方法研究了均匀瑞利梁的自由振动特性。该过程需要变换控制所考虑的梁的运动的偏微分方程和相关的边界条件。变换得到一组差分方程。对得到的差分方程进行一些简单的代数运算，以确定任意i阶固有频率和任意i阶振型的闭型级数函数。最后，提出了一个问题来说明本方法的实施，并分析了单位长度质量对梁固有频率的影响。

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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Effect of Mass per Unit Length on freely vibrating Simply Supported Rayleigh Beam

In this paper, free vibration characteristics of a uniform Rayleigh beam are studied using the differential transform method. The procedure entails transforming the partial differential equation governing the motion of the beam under consideration and the associated boundary conditions. The transformation yields a set of difference equations. Some simple algebraic operations are performed on the resulting difference equations to determine any ith natural frequency and the closed-form series function for any ith mode shape. Finally, one problem is presented to illustrate the implementation of the present method and analyse the effect of mass per length on the natural frequencies of the beam.

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来源期刊

WSEAS Transactions on Fluid Mechanics Engineering-Computational Mechanics

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Fluid Mechanics publishes original research papers relating to the studying of fluids. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of this particular area. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with multiphase flow, boundary layer flow, material properties, wave modelling and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.