Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates
This paper assesses classical and advanced theories for free vibrational response of homogeneous and multilayered simply supported plates. Closed form solutions are given for thick and thin geometries. Single layer and multilayered plates made of metallic, composite and piezo-electric materials, are...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2004/493584 |
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| _version_ | 1832548818530336768 |
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| author | Erasmo Carrera |
| author_facet | Erasmo Carrera |
| author_sort | Erasmo Carrera |
| collection | DOAJ |
| description | This paper assesses classical and advanced theories for free vibrational response of homogeneous and multilayered simply supported plates. Closed form solutions are given for thick and thin geometries. Single layer and multilayered plates made of metallic, composite and piezo-electric materials, are considered. Classical theories based on Kirchhoff and Reissner-Mindlin assumptions are compared with refined theories obtained by enhancing the order of the expansion of the displacement fields in the thickness direction z. The effect of the Zig-Zag form of the displacement distribution in z as well as of the Interlaminar Continuity of transverse shear and normal stresses at the layer interface were evaluated. A number of conclusions have been drawn. These conclusions could be used as desk-bed in order to choose the most valuable theories for a given problem. |
| format | Article |
| id | doaj-art-5d75a954843d4049a52ce4d294249c8c |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5d75a954843d4049a52ce4d294249c8c2025-02-03T06:12:54ZengWileyShock and Vibration1070-96221875-92032004-01-01113-426127010.1155/2004/493584Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered PlatesErasmo Carrera0Dipartimento di Ingegneria Aerospaziale, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, ItalyThis paper assesses classical and advanced theories for free vibrational response of homogeneous and multilayered simply supported plates. Closed form solutions are given for thick and thin geometries. Single layer and multilayered plates made of metallic, composite and piezo-electric materials, are considered. Classical theories based on Kirchhoff and Reissner-Mindlin assumptions are compared with refined theories obtained by enhancing the order of the expansion of the displacement fields in the thickness direction z. The effect of the Zig-Zag form of the displacement distribution in z as well as of the Interlaminar Continuity of transverse shear and normal stresses at the layer interface were evaluated. A number of conclusions have been drawn. These conclusions could be used as desk-bed in order to choose the most valuable theories for a given problem.http://dx.doi.org/10.1155/2004/493584 |
| spellingShingle | Erasmo Carrera Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates Shock and Vibration |
| title | Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates |
| title_full | Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates |
| title_fullStr | Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates |
| title_full_unstemmed | Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates |
| title_short | Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates |
| title_sort | assessment of theories for free vibration analysis of homogeneous and multilayered plates |
| url | http://dx.doi.org/10.1155/2004/493584 |
| work_keys_str_mv | AT erasmocarrera assessmentoftheoriesforfreevibrationanalysisofhomogeneousandmultilayeredplates |