Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids
This paper is concerned with a simplified dynamical analysis of orthotropic viscoelastic plates that are made up of an arbitrary number of layers each of which is a Maxwell type solid. This study includes the case where some or all the layers are themselves constituted by thinly laminated materials...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171288000213 |
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| author | P. Pal Roy L. Debnath |
| author_facet | P. Pal Roy L. Debnath |
| author_sort | P. Pal Roy |
| collection | DOAJ |
| description | This paper is concerned with a simplified dynamical analysis of orthotropic viscoelastic plates that are made up of an arbitrary number of layers each of which is a Maxwell type solid. This study includes the case where some or all the layers are themselves constituted by thinly laminated materials with couple stresses. The recurrence equations for the shear stresses are obtained for an arbitrary number of layers and then applied to plates with two or three layers. The viscoelastic damping effect is determined by the process of linearization and then illustrated by a plate composed of one, two or three layers. It is found that the damping increases with anisotropy and wave number. These results are shown by graphical representations. |
| format | Article |
| id | doaj-art-32add3bd71aa409cbe7c93b5ed5eff27 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-32add3bd71aa409cbe7c93b5ed5eff272025-08-20T02:24:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111117718610.1155/S0161171288000213Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solidsP. Pal Roy0L. Debnath1Blasting Department, Central Mining Research Station, Barwa Road, Dhanbad 826 001, IndiaDepartment of Mathematics, University of Central Florida, Orlando, Florida 32816, USAThis paper is concerned with a simplified dynamical analysis of orthotropic viscoelastic plates that are made up of an arbitrary number of layers each of which is a Maxwell type solid. This study includes the case where some or all the layers are themselves constituted by thinly laminated materials with couple stresses. The recurrence equations for the shear stresses are obtained for an arbitrary number of layers and then applied to plates with two or three layers. The viscoelastic damping effect is determined by the process of linearization and then illustrated by a plate composed of one, two or three layers. It is found that the damping increases with anisotropy and wave number. These results are shown by graphical representations.http://dx.doi.org/10.1155/S0161171288000213orthotropic viscoelastic materialsMaxwell solidslaminated materials and couple stresses. |
| spellingShingle | P. Pal Roy L. Debnath Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids International Journal of Mathematics and Mathematical Sciences orthotropic viscoelastic materials Maxwell solids laminated materials and couple stresses. |
| title | Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids |
| title_full | Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids |
| title_fullStr | Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids |
| title_full_unstemmed | Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids |
| title_short | Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids |
| title_sort | dynamics of multilayered orthotropic viscoelastic plates of maxwell solids |
| topic | orthotropic viscoelastic materials Maxwell solids laminated materials and couple stresses. |
| url | http://dx.doi.org/10.1155/S0161171288000213 |
| work_keys_str_mv | AT ppalroy dynamicsofmultilayeredorthotropicviscoelasticplatesofmaxwellsolids AT ldebnath dynamicsofmultilayeredorthotropicviscoelasticplatesofmaxwellsolids |