Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method
In this paper, the dynamic model of periodically coupled plate structure is formulated by the dynamic stiffness method (DSM). Geometrical construction is assumed to vary periodically in the whole plate structure. According to the coupling condition, the whole periodic plate structure is divided into...
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doaj-d2286fc7bdfc46b7b84d6b4ffe3a10762020-11-24T22:05:25ZengElsevierResults in Physics2211-37972018-12-011111501160Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness methodChunyu Zhang0Hu Ding1Hailong Chen2Guoyong Jin3Tiangui Ye4Yukun Chen5College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaShanghai Marine Equipment Research Institute, Shanghai 200031, PR ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China; Corresponding authors.College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR China; Corresponding authors.College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaIn this paper, the dynamic model of periodically coupled plate structure is formulated by the dynamic stiffness method (DSM). Geometrical construction is assumed to vary periodically in the whole plate structure. According to the coupling condition, the whole periodic plate structure is divided into appropriate individual rectangular plates firstly. To the individual plate, the displacement fields both of in-plane and out-of-plane are derived from the governing equation with a strong-form methodology. The dynamic stiffness matrix is developed by the Projection method. Once the dynamic stiffness matrixes of the individual plates are obtained, the global dynamic stiffness matrix of the whole periodic structure can be assembled in the similar manner with the finite element method (FEM). Several examples are presented to validate the convergence and accuracy of the present formulation. From the harmonic responses, the band gap behaviors can be observed obviously. Furthermore, a parametric analysis is implemented to study the effects of geometrical distributions and plate dimensions on the vibration characteristics. Keywords: Dynamic model, Periodic plate structure, Dynamic stiffness matrix, Vibration suppressionhttp://www.sciencedirect.com/science/article/pii/S2211379718325282 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chunyu Zhang Hu Ding Hailong Chen Guoyong Jin Tiangui Ye Yukun Chen |
spellingShingle |
Chunyu Zhang Hu Ding Hailong Chen Guoyong Jin Tiangui Ye Yukun Chen Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method Results in Physics |
author_facet |
Chunyu Zhang Hu Ding Hailong Chen Guoyong Jin Tiangui Ye Yukun Chen |
author_sort |
Chunyu Zhang |
title |
Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
title_short |
Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
title_full |
Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
title_fullStr |
Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
title_full_unstemmed |
Dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
title_sort |
dynamic modeling and characteristic analysis of the periodically coupled plate structure based on the dynamic stiffness method |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2018-12-01 |
description |
In this paper, the dynamic model of periodically coupled plate structure is formulated by the dynamic stiffness method (DSM). Geometrical construction is assumed to vary periodically in the whole plate structure. According to the coupling condition, the whole periodic plate structure is divided into appropriate individual rectangular plates firstly. To the individual plate, the displacement fields both of in-plane and out-of-plane are derived from the governing equation with a strong-form methodology. The dynamic stiffness matrix is developed by the Projection method. Once the dynamic stiffness matrixes of the individual plates are obtained, the global dynamic stiffness matrix of the whole periodic structure can be assembled in the similar manner with the finite element method (FEM). Several examples are presented to validate the convergence and accuracy of the present formulation. From the harmonic responses, the band gap behaviors can be observed obviously. Furthermore, a parametric analysis is implemented to study the effects of geometrical distributions and plate dimensions on the vibration characteristics. Keywords: Dynamic model, Periodic plate structure, Dynamic stiffness matrix, Vibration suppression |
url |
http://www.sciencedirect.com/science/article/pii/S2211379718325282 |
work_keys_str_mv |
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