K. Bhaskar

Department of Aerospace Engineering

T. K. Varadan

COMPOSITE MATERIALS--THEORY

CHO THEORY

INDIVIDUAL LAYER THEORY

Plates

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

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IIT Madras

Comments on ``free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory''

Journal of Sound and Vibration

In this paper, variationally consistent layer-wise trigonometric shear deformation theory has been extended to deal with free vibration of two-layered laminated cross-ply plates. Governing differential equations are derived by making use of a displacement field which allows a sinusoidal variation of the in-plane displacements through the laminate thickness. In this displacement based theory, constitutive relations between shear-stress and shear-strains are satisfied in both the layers, and, therefore, shear correction factor is not required. Compatibility at the layer interface in respect of in-plane displacement and compatibility in respect of transverse shear-stress is satisfied, yet present theory contains fewer unknown variables than that of the first order shear deformation theory. Effects of rotary inertia and other inertias are also included. Efficacy of the present theory is demonstrated through illustrative examples.

Journal of Reinforced Plastics and Composites

Free vibration of two-layered cross-ply laminated plates using layer-wise trigonometric shear deformation theory

Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory

Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory

Comments on "free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory"

Journal	Journal of Sound and Vibration
ISSN	0022460X
Open Access	No