Free vibration analysis of thick laminated plates using a mixed finite element

Chih-Ping Wu, Chih Shun Hsu

Research output: Contribution to journalArticle

Abstract

A mixed finite element scheme based on assumed local high-order displacements is proposed for the free vibration of thick laminated plates. The effects of transverse shear deformation, transverse normal stress and rotary inertia are considered in the formulation. Cross-ply laminates with simple supports and angle-ply laminates with clamped edges are presented as examples. The three dimensional elasticity solutions of cross-ply laminates with simple supports are used to assess the accuracy of the present scheme. The effects of the span-to-thickness, aspect and material anisotropy ratio on the fundamental natural frequency are investigated. The present results are compared with the results in the published literature, and agree closely with the 3-D elasticity solutions.

Original languageEnglish
Pages (from-to)753-759
Number of pages7
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume17
Issue number5
DOIs
Publication statusPublished - 1994 Jan 1

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Vibration analysis
Laminates
Elasticity
Shear deformation
Natural frequencies
Anisotropy

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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AB - A mixed finite element scheme based on assumed local high-order displacements is proposed for the free vibration of thick laminated plates. The effects of transverse shear deformation, transverse normal stress and rotary inertia are considered in the formulation. Cross-ply laminates with simple supports and angle-ply laminates with clamped edges are presented as examples. The three dimensional elasticity solutions of cross-ply laminates with simple supports are used to assess the accuracy of the present scheme. The effects of the span-to-thickness, aspect and material anisotropy ratio on the fundamental natural frequency are investigated. The present results are compared with the results in the published literature, and agree closely with the 3-D elasticity solutions.

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