Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions
Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtai...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/3682370 |
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| _version_ | 1849305501433593856 |
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| author | Eshagh F. Joubaneh Oumar R. Barry Hesham E. Tanbour |
| author_facet | Eshagh F. Joubaneh Oumar R. Barry Hesham E. Tanbour |
| author_sort | Eshagh F. Joubaneh |
| collection | DOAJ |
| description | Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions. |
| format | Article |
| id | doaj-art-0a8ade06f6f840bbaaba58ef922c7c10 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-0a8ade06f6f840bbaaba58ef922c7c102025-08-20T03:55:27ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/36823703682370Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary ConditionsEshagh F. Joubaneh0Oumar R. Barry1Hesham E. Tanbour2College of Engineering and Science, Central Michigan University, 1200 S. Franklin St, Mount Pleasant, MI 48859, USACollege of Engineering and Science, Central Michigan University, 1200 S. Franklin St, Mount Pleasant, MI 48859, USACollege of Engineering and Science, Central Michigan University, 1200 S. Franklin St, Mount Pleasant, MI 48859, USAGeneralized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions.http://dx.doi.org/10.1155/2018/3682370 |
| spellingShingle | Eshagh F. Joubaneh Oumar R. Barry Hesham E. Tanbour Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions Shock and Vibration |
| title | Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions |
| title_full | Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions |
| title_fullStr | Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions |
| title_full_unstemmed | Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions |
| title_short | Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions |
| title_sort | analytical and experimental vibration of sandwich beams having various boundary conditions |
| url | http://dx.doi.org/10.1155/2018/3682370 |
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