Analytical and numerical studies of an unsymmetrical sandwich beam – bending, buckling and free vibration

被引：0
|
作者：
Magnucki K. [1 ]
Magnucka-Blandzi E. [2 ]
Lewiński J. [1 ]
Milecki S. [1 ]
机构：
[1] Institute of Rail Vehicles TABOR, Warszawska 181, Poznan
[2] Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, Poznan
来源：
Engineering Transactions | 2019年 / 67卷 / 04期
关键词：
Analytical studies; Beam deflection; Critical load; FEM studies; Free vibration; Sandwich beams;
D O I：
10.24423/EngTrans.1015.20190725
中图分类号：
学科分类号：
摘要：
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. © 2019, Polish Academy of Sciences. All rights reserved.
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页码：491 / 512
页数：21
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