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Three‐dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modelling
Author(s) -
Zhang Jordan Z.,
Ng T. Y.,
Liew K. M.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.746
Subject(s) - composite laminates , discretization , vibration , quadrature (astronomy) , structural engineering , composite number , discontinuity (linguistics) , elasticity (physics) , materials science , transverse plane , nyström method , composite material , mathematics , mathematical analysis , integral equation , engineering , acoustics , physics , electrical engineering
In this paper, the free vibration analysis of simply‐supported and clamped composite laminates, especially thick laminates, is carried out. The three‐dimensional theory of elasticity is integrated into a layerwise model via differential quadrature discretization. All physical governing equations are satisfied, including the additional constraints of the characteristics of continuity and discontinuity of interfacial transverse and in‐plane strains and stresses along the interfaces of composite laminates. Effects of plate aspect and thickness ratios on the free vibration of these laminates are examined in detail. This study demonstrates the applicability, accuracy, and stability of the present methodology, for vibration analyses of composite structures of thick laminated constitution. Copyright © 2003 John Wiley & Sons, Ltd.