Nonlinear free vibration analysis of laminated composite plates and shell panels using non-polynomial higher-order shear deformation theory

2021 ◽  
pp. 1-16
Author(s):  
Sambhaji Lore ◽  
Suganyadevi Sarangan ◽  
B. N. Singh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Nonlinear Free Vibration

An Analytical Solution of Natural Frequency for Symmetric Laminated Composite Plates

2013 ◽  
Vol 785-786 ◽  
pp. 253-256 ◽  
Author(s):  
Song Xiang ◽  
Ying Tao Chen
Keyword(s):  
Free Vibration ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Thin Plates ◽  
Laminated Composite Plates ◽  
Governing Equations ◽  
Moderately Thick Plates

In this paper the governing equations of cross-ply symmetric laminated composite plates are derived based on the trigonometric shear deformation theory. Generalized Navier type solutions are obtained to predict the free vibration behavior of cross-ply symmetric laminated composite plates. The analytical solutions of natural frequencies are obtained for thick and moderately thick plates as well as for thin plates, and compared with some available results in other papers. Through numerical examples, the high accuracy of present method for free vibration analysis of cross-ply symmetric laminated composite plates is demonstrated.

scholarly journals Static and Free Vibration Analysis of Laminated Composite Plates Using Isogeometric Approach Based on the Third Order Shear Deformation Theory

2014 ◽  
Vol 6 ◽  
pp. 232019 ◽  
Author(s):  
Xinkang Li ◽  
Jifa Zhang ◽  
Yao Zheng
Keyword(s):  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Basis Functions ◽  
Laminated Composite Plates ◽  
Third Order ◽  
The Third

Isogeometric analysis (IGA) based on nonuniform rational B-splines (NURBS) is applied for static and free vibration analysis of laminated composite plates by using the third order shear deformation theory (TSDT). TSDT requires C1-continuity of generalized displacements and NURBS basis functions are well-suited for this requirement. Due to the noninterpolatory nature of NURBS basis functions, a penalty method is applied to enforce the essential boundary conditions. The validity and accuracy of the present method are demonstrated through a series of numerical examples of isotropic and laminated composite plates with different shapes, boundary conditions, fiber orientations, lay-up numbers, and so forth. The obtained numerical results are compared with either the analytical solutions or other available numerical methods.

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