Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration

Q2 Engineering

Engineering Transactions Pub Date : 2019-07-25 DOI:10.24423/ENGTRANS.1015.20190725

K. Magnucki, E. Magnucka-Blandzi, J. Lewiński, S. Milecki

引用次数: 3

Abstract

The subject of the paper is an unsymmetrical sandwich beam. The thicknesses and mechanical properties of the beam faces are different. Mathematical model of the beam is formulated based on the classical broken-line hypothesis. The equations of motions of the beam is derived on the ground of the Hamilton’s principle. Bending, buckling and free-vibration are studied in detail for exemplary unsymmetrical structure of the beam. The values of deflection, critical force and natural frequency are determined for the selected beam cases. Moreover, the same examples are computed with the use of two FEM systems, i.e. SolidWorks and ABAQUS, in order to compare the analytical and numerical calculation. The results are presented in Tables and Figures.

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非对称夹层梁弯曲、屈曲和自由振动的分析与数值研究

本文的主题是一个非对称夹层梁。梁表面的厚度和机械性能不同。基于经典的折线假设，建立了梁的数学模型。基于汉密尔顿原理推导了梁的运动方程。对典型的非对称梁结构的弯曲、屈曲和自由振动进行了详细的研究。挠度、临界力和固有频率的值是为选定的梁情况确定的。此外，使用SolidWorks和ABAQUS两个有限元系统对相同的例子进行了计算，以比较分析计算和数值计算。结果如表和图所示。

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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来源期刊

Engineering Transactions Engineering-Engineering (all)

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Engineering Transactions (formerly Rozprawy Inżynierskie) is a refereed international journal founded in 1952. The journal promotes research and practice in engineering science and provides a forum for interdisciplinary publications combining mechanics with: Material science, Mechatronics, Biomechanics and Biotechnologies, Environmental science, Photonics, Information technologies, Other engineering applications. The journal publishes original papers covering a broad area of research activities including: experimental and hybrid techniques, analytical and numerical approaches. Review articles and special issues are also welcome. Following long tradition, all articles are peer reviewed and our expert referees ensure that the papers accepted for publication comply with high scientific standards. Engineering Transactions is a quarterly journal intended to be interesting and useful for the researchers and practitioners in academic and industrial communities.