Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints
To investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinea...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/2189420 |
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| _version_ | 1832566749009018880 |
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| author | Shaochong Yang Qingsheng Yang |
| author_facet | Shaochong Yang Qingsheng Yang |
| author_sort | Shaochong Yang |
| collection | DOAJ |
| description | To investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinear elastic restraints. In addition, considering the restraining moments of flexible pads, the pads are modeled by translational and rotational springs. The displacement- dependent constraint forces are added to the right-hand side of equations of motion and treated as additional applied loads. These loads can be explicitly defined, via an independent set of nonlinear load functions. The time histories of transverse displacements at typical points of the laminated plate are obtained through the transient analysis. Numerical examples show that the present method can effectively treat the geometrically nonlinear transient response of plates with nonlinear elastic restraints. |
| format | Article |
| id | doaj-art-4026707d4726495b8fe4853c96803322 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-4026707d4726495b8fe4853c968033222025-02-03T01:03:14ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/21894202189420Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic RestraintsShaochong Yang0Qingsheng Yang1Department of Engineering Mechanics, Beijing University of Technology, Beijing 100124, ChinaDepartment of Engineering Mechanics, Beijing University of Technology, Beijing 100124, ChinaTo investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinear elastic restraints. In addition, considering the restraining moments of flexible pads, the pads are modeled by translational and rotational springs. The displacement- dependent constraint forces are added to the right-hand side of equations of motion and treated as additional applied loads. These loads can be explicitly defined, via an independent set of nonlinear load functions. The time histories of transverse displacements at typical points of the laminated plate are obtained through the transient analysis. Numerical examples show that the present method can effectively treat the geometrically nonlinear transient response of plates with nonlinear elastic restraints.http://dx.doi.org/10.1155/2017/2189420 |
| spellingShingle | Shaochong Yang Qingsheng Yang Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints Shock and Vibration |
| title | Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints |
| title_full | Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints |
| title_fullStr | Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints |
| title_full_unstemmed | Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints |
| title_short | Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints |
| title_sort | geometrically nonlinear transient response of laminated plates with nonlinear elastic restraints |
| url | http://dx.doi.org/10.1155/2017/2189420 |
| work_keys_str_mv | AT shaochongyang geometricallynonlineartransientresponseoflaminatedplateswithnonlinearelasticrestraints AT qingshengyang geometricallynonlineartransientresponseoflaminatedplateswithnonlinearelasticrestraints |