Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration
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 Hami...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
2019-07-01
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| Series: | Engineering Transactions |
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| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/1015 |
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| author | Krzysztof MAGNUCKI Ewa MAGNUCKA-BLANDZI Jerzy LEWIŃSKI Szymon MILECKI |
| author_facet | Krzysztof MAGNUCKI Ewa MAGNUCKA-BLANDZI Jerzy LEWIŃSKI Szymon MILECKI |
| author_sort | Krzysztof MAGNUCKI |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f4bef0c64f6b4917b84d6bf642b4410c |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-f4bef0c64f6b4917b84d6bf642b4410c2025-07-11T04:53:38ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712019-07-0167410.24423/EngTrans.1015.20190725Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free VibrationKrzysztof MAGNUCKI0Ewa MAGNUCKA-BLANDZI1Jerzy LEWIŃSKI2Szymon MILECKI3Institute of Rail Vehicles TABORPoznan University of TechnologyInstitute of Rail Vehicles TABORInstitute of Rail Vehicles TABORThe 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.https://et.ippt.pan.pl/index.php/et/article/view/1015sandwich beamsbeam deflectioncritical loadfree vibrationanalytical studiesFEM studies |
| spellingShingle | Krzysztof MAGNUCKI Ewa MAGNUCKA-BLANDZI Jerzy LEWIŃSKI Szymon MILECKI Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration Engineering Transactions sandwich beams beam deflection critical load free vibration analytical studies FEM studies |
| title | Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration |
| title_full | Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration |
| title_fullStr | Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration |
| title_full_unstemmed | Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration |
| title_short | Analytical and Numerical Studies of an Unsymmetrical Sandwich Beam – Bending, Buckling and Free Vibration |
| title_sort | analytical and numerical studies of an unsymmetrical sandwich beam bending buckling and free vibration |
| topic | sandwich beams beam deflection critical load free vibration analytical studies FEM studies |
| url | https://et.ippt.pan.pl/index.php/et/article/view/1015 |
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