Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate
Dynamics of a cantilever honeycomb sandwich plate are studied in this paper. The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory. Based on the Rayleigh–Ritz met...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/8162873 |
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| author | Junhua Zhang Xiaodong Yang Wei Zhang |
| author_facet | Junhua Zhang Xiaodong Yang Wei Zhang |
| author_sort | Junhua Zhang |
| collection | DOAJ |
| description | Dynamics of a cantilever honeycomb sandwich plate are studied in this paper. The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory. Based on the Rayleigh–Ritz method, some modes of natural frequencies for the cantilever honeycomb sandwich plate are obtained. The relations between the natural frequencies and the parameters of the plate are investigated. Further, the Galerkin method is used to transform the nonlinear partial differential equations into a set of nonlinear ordinary differential equations. Nonlinear dynamic responses of the cantilever honeycomb sandwich plate to such external and parametric excitations are discussed by using the numerical method. The results show that in-plane and transverse excitations have an important influence on nonlinear dynamic characteristics. Rich dynamics, such as periodic, multiperiodic, quasiperiodic, and chaotic motions, are located and studied by the bifurcation diagram for some specific parameters. |
| format | Article |
| id | doaj-art-fd912f4eaa0a481e83f6abc0b401c416 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-fd912f4eaa0a481e83f6abc0b401c4162025-08-20T03:25:27ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422018-01-01201810.1155/2018/81628738162873Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich PlateJunhua Zhang0Xiaodong Yang1Wei Zhang2College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaDynamics of a cantilever honeycomb sandwich plate are studied in this paper. The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory. Based on the Rayleigh–Ritz method, some modes of natural frequencies for the cantilever honeycomb sandwich plate are obtained. The relations between the natural frequencies and the parameters of the plate are investigated. Further, the Galerkin method is used to transform the nonlinear partial differential equations into a set of nonlinear ordinary differential equations. Nonlinear dynamic responses of the cantilever honeycomb sandwich plate to such external and parametric excitations are discussed by using the numerical method. The results show that in-plane and transverse excitations have an important influence on nonlinear dynamic characteristics. Rich dynamics, such as periodic, multiperiodic, quasiperiodic, and chaotic motions, are located and studied by the bifurcation diagram for some specific parameters.http://dx.doi.org/10.1155/2018/8162873 |
| spellingShingle | Junhua Zhang Xiaodong Yang Wei Zhang Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate Advances in Materials Science and Engineering |
| title | Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate |
| title_full | Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate |
| title_fullStr | Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate |
| title_full_unstemmed | Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate |
| title_short | Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate |
| title_sort | free vibrations and nonlinear responses for a cantilever honeycomb sandwich plate |
| url | http://dx.doi.org/10.1155/2018/8162873 |
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