Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modelling

2003 ◽  
Vol 57 (13) ◽  
pp. 1819-1844 ◽  
Author(s):  
Jordan Z. Zhang ◽  
T. Y. Ng ◽  
K. M. Liew
Keyword(s):  
Free Vibration ◽  
Composite Laminates ◽  
Vibration Analysis ◽  
Three Dimensional ◽  
Free Vibration Analysis ◽  
Theory Of Elasticity ◽  
Differential Quadrature ◽  
Dimensional Theory

Dynamic Characteristics of Elastic Bonding in Composite Laminates: A Free Vibration Study

2003 ◽  
Vol 70 (6) ◽  
pp. 860-870 ◽  
Author(s):  
K. M. Liew ◽  
J. Z. Zhang ◽  
T. Y. Ng ◽  
J. N. Reddy
Keyword(s):  
Free Vibration ◽  
Composite Laminates ◽  
Present Model ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Bonding Layer ◽  
Dimensional Theory ◽  
Perfect Bonding ◽  
Stress States ◽  
Laminated Structures

In conventional analyses of composite laminates, the assumption of perfect bonding of adjoining layers is well accepted, although this is an oversimplification of the reality. It is possible that the bond strength may be less than that of the laminae. Thus, the study of weak bonding is an interesting focus area. In this study, an elastic bonding model based on three-dimensional theory of elasticity in a layerwise framework is used to study composite laminates. The differential quadrature (DQ) discretization is used to analyze the layerwise model. The present model enables the simulation of actual bonding stress states in laminated structures. The interfacial characteristics of transverse stress continuity as well as the kinematic continuity conditions are satisfied through the inclusion of the elastic bonding layer. The present model is employed to investigate the free vibration of thick rectangular cross-ply laminates of different boundary conditions and lamination schemes.

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