Analytic 3-D p-element for vibration analyses of plates, Part 2: Laminated plates

B. Zhu; C. T O Leung; A. Y T Leung; Cheng Xiao; Si Yuan

doi:10.1016/j.jsv.2006.05.031

Analytic 3-D p-element for vibration analyses of plates, Part 2: Laminated plates

B. Zhu
, C. T O Leung
, A. Y T Leung
, Cheng Xiao
, Si Yuan

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

An analytic 3-D p-version arbitrary quadrilateral plate element is applied to solve the free vibration of laminated plates. The computational accuracy is considerably improved due to the additional hierarchical shape functions and analytic integration. The study on a single layer orthotropic plate with simply supported boundary conditions shows the fast convergence and great accuracy of the present element. Then the analyses of rectangular plates with simply supported, cantilevered and fully clamped boundary conditions are carried out. Because of the great fitness to all kinds of geometry shapes, the present element is easily applied to various polygonal plates. © 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	385-392
Journal	Journal of Sound and Vibration
Volume	298
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2006.05.031
Publication status	Published - 22 Nov 2006

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title = "Analytic 3-D p-element for vibration analyses of plates, Part 2: Laminated plates",

abstract = "An analytic 3-D p-version arbitrary quadrilateral plate element is applied to solve the free vibration of laminated plates. The computational accuracy is considerably improved due to the additional hierarchical shape functions and analytic integration. The study on a single layer orthotropic plate with simply supported boundary conditions shows the fast convergence and great accuracy of the present element. Then the analyses of rectangular plates with simply supported, cantilevered and fully clamped boundary conditions are carried out. Because of the great fitness to all kinds of geometry shapes, the present element is easily applied to various polygonal plates. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

author = "B. Zhu and Leung, \{C. T O\} and Leung, \{A. Y T\} and Cheng Xiao and Si Yuan",

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language = "English",

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journal = "Journal of Sound and Vibration",

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TY - JOUR

T1 - Analytic 3-D p-element for vibration analyses of plates, Part 2

T2 - Laminated plates

AU - Zhu, B.

AU - Leung, C. T O

AU - Leung, A. Y T

AU - Xiao, Cheng

AU - Yuan, Si

PY - 2006/11/22

Y1 - 2006/11/22

N2 - An analytic 3-D p-version arbitrary quadrilateral plate element is applied to solve the free vibration of laminated plates. The computational accuracy is considerably improved due to the additional hierarchical shape functions and analytic integration. The study on a single layer orthotropic plate with simply supported boundary conditions shows the fast convergence and great accuracy of the present element. Then the analyses of rectangular plates with simply supported, cantilevered and fully clamped boundary conditions are carried out. Because of the great fitness to all kinds of geometry shapes, the present element is easily applied to various polygonal plates. © 2006 Elsevier Ltd. All rights reserved.

AB - An analytic 3-D p-version arbitrary quadrilateral plate element is applied to solve the free vibration of laminated plates. The computational accuracy is considerably improved due to the additional hierarchical shape functions and analytic integration. The study on a single layer orthotropic plate with simply supported boundary conditions shows the fast convergence and great accuracy of the present element. Then the analyses of rectangular plates with simply supported, cantilevered and fully clamped boundary conditions are carried out. Because of the great fitness to all kinds of geometry shapes, the present element is easily applied to various polygonal plates. © 2006 Elsevier Ltd. All rights reserved.

UR - https://www.scopus.com/pages/publications/33748038753

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33748038753&origin=recordpage

U2 - 10.1016/j.jsv.2006.05.031

DO - 10.1016/j.jsv.2006.05.031

M3 - RGC 21 - Publication in refereed journal

SN - 0022-460X

VL - 298

SP - 385

EP - 392

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

Analytic 3-D p-element for vibration analyses of plates, Part 2: Laminated plates

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