Free vibration of laminated composite plates subjected to in-plane stresses using trapezoidal p-element

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

10 Scopus Citations
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Author(s)

  • Andrew Y.T. Leung
  • Cheng Xiao
  • B. Zhu
  • Si Yuan

Detail(s)

Original languageEnglish
Pages (from-to)167-175
Journal / PublicationComposite Structures
Volume68
Issue number2
Publication statusPublished - Apr 2005

Abstract

A new trapezoidal p-element is applied to solve the free vibration problem of polygonal laminated composite plates subjected to in-plane stresses with various boundary conditions. Legendre orthogonal polynomials are employed as enriching shape functions. The element stiffness and mass matrices are analytically integrated in closed form. Since one can always break a triangle into three trapezoids by simply drawing three lines parallel to the three edges from any point in the triangle, the trapezoidal element is as good as the triangular element. Free vibration of rectangular, triangular and polygonal laminated plates with various boundary conditions and stacking sequences is analyzed. The present solutions are monotonically convergent, and they are in good agreement with the available published results. © 2004 Elsevier Ltd. All rights reserved.

Research Area(s)

  • In-plane stresses, Laminated plate, p-element, Trapezoid, Vibration

Citation Format(s)

Free vibration of laminated composite plates subjected to in-plane stresses using trapezoidal p-element. / Leung, Andrew Y.T.; Xiao, Cheng; Zhu, B.; Yuan, Si.

In: Composite Structures, Vol. 68, No. 2, 04.2005, p. 167-175.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review