Spline finite strip analysis of composite plates based on higher-order zigzag composite plate theory

2007 ◽  
Vol 78 (1) ◽  
pp. 112-118 ◽  
Author(s):  
G. Akhras ◽  
W. Li
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Composite Plates ◽  
Higher Order ◽  
Finite Strip ◽  
Spline Finite Strip

A NEW TRIANGULAR ELEMENT BASED ON HIGHER ORDER SHEAR DEFORMATION THEORY FOR FLEXURAL VIBRATION OF COMPOSITE PLATES

2002 ◽  
Vol 02 (02) ◽  
pp. 163-184 ◽  
Author(s):  
A. CHAKRABARTI ◽  
A. H. SHEIKH
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Plate Theory ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Higher Order ◽  
Triangular Element

A triangular element based on Reddy's higher order shear deformation theory is developed for free vibration analysis of composite plates. In the Reddy's plate theory, the transverse shear stress varies in a parabolic manner across the plate thickness and vanishes at the top and bottom surfaces of the plate. Moreover, it does not involve any additional unknowns. Thus the plate theory is quite simple and elegant. Unfortunately, such an attractive plate theory cannot be exploited as expected in finite element analysis, primarily due to the difficulties in satisfying the inter-element continuity requirement. This has inspired us to develop the present element, which has three corner nodes and three mid-side nodes with the same number of degrees of freedom. To demonstrate the performance of the element, numerical examples of isotropic and composite plates under different situations are solved. The results are compared with the analytical solutions and other published results, which show the accuracy and range of applicability of the proposed element in the problem of vibration analysis.

Analysis of a Composite Piezoelectric Circular Plate With Initial Stresses for MEMS

2002 ◽  
Author(s):  
Guiqin Wang ◽  
Bhavani V. Sankar ◽  
Louis N. Cattafesta ◽  
Mark Sheplak
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Composite Plates ◽  
Mechanical Analysis ◽  
Initial Stresses ◽  
Piezoelectric Composite ◽  
Mems Devices ◽  
Design And Optimization ◽  
Transverse Pressure ◽  
Analytical Result

The paper presents a mechanical analysis of the multi-layer circular composite plate For MEMS devices. Each layer of the plate is assumed to have different radius, material properties and initial stresses. Governing equations for the composite plate are derived based on the classical laminated plate theory, and analytical soultions have been developed for static deflection of the initially stressed plate due to transverse pressure loading as well as for a given electric field in the piezoelectric layer. A nonlinear finite elernent analysis of the plate is also performed. The analytical result match the FE results for the range of parameters used in the microphone design. The analytical model will be useful in the design and optimization of MEMS devices containing circular piezoelectric composite plates and diaphragms.

Bubble Complex Finite Strip Method in the Stability and Vibration Analysis of Orthotropic Laminated Composite Plates

2020 ◽  
Vol 12 (09) ◽  
pp. 2050106
Author(s):  
Mohammad Sekhavatjou ◽  
Mojtaba Azhari ◽  
Saeid Sarrami-Foroushani
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Composite Plates ◽  
Higher Order ◽  
Laminated Composite Plates ◽  
Finite Strip ◽  
Finite Strip Method ◽  
The Stability ◽  
Zigzag Theory

In this study, a bubble complex finite strip method (BCFSM) with the higher-order zigzag theory is formulated for mechanical buckling and free vibration analysis of laminated composite plates, including cross-ply and angle-ply laminates. Few studies have been done to obtain the analytical solutions for clamped and free boundary conditions in the longitudinal and transverse edges. Therefore, this study, for the first time, investigates the effects of various boundary conditions on the stability and vibration results of laminated composite plates subjected to axial or pure shear forces with the use of higher-order zigzag theory and BCFSM. Following this, both the interlaminar continuity conditions of transverse shear stresses and the shear-free surface conditions are satisfied by applying a cubic displacement and a zigzag linear varying displacement with the same number of unknowns as the first-order shear deformation theories. Moreover, the effects of width-to-thickness ratio, fiber orientation, number of modes, different dimensional ratios of the plate, and finally, the number of layers are investigated through numerical examples. The bubble shape functions are exploited in the transverse direction to improve the convergence of the method. Finally, the shearing and axial interaction diagrams of composite laminated plates are presented for various types of boundary conditions.

Efficient higher order composite plate theory for general lamination configurations

AIAA Journal ◽  
1993 ◽  
Vol 31 (7) ◽  
pp. 1299-1306 ◽  
Author(s):  
Maenghyo Cho ◽  
R. Reid Parmerter
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Higher Order

AN EFFICIENT TECHNIQUE TO INCLUDE SHEAR DEFORMATION IN SPLINE FINITE STRIP ANALYSIS OF COMPOSITE PLATES

2004 ◽  
Vol 01 (03) ◽  
pp. 491-505
Author(s):  
A. H. SHEIKH
Keyword(s):  
Shear Deformation ◽  
Transverse Shear ◽  
Composite Plates ◽  
Efficient Technique ◽  
Transverse Displacement ◽  
Transverse Shear Strain ◽  
Finite Strip ◽  
Isotropic Plates ◽  
Proposed Model ◽  
Spline Finite Strip

An efficient technique for the incorporation of transverse shear deformation in the analysis of laminated composite plates by spline finite strip method has been proposed. The Reissner-Mindlin's plate theory has been used to perform the formulation where transverse displacement and transverse shear strain components are the independent field variables. The interpolation function used for the transverse displacement is cubic whereas the shear strains are linear. To validate the proposed model and study its performance, numerical examples of composite plates have been solved and the results obtained have been compared with the published ones. Examples of isotropic plates have also been included as the model has not been tested with isotropic plates. A very thin plate has been analyzed to show that the proposed model is free from shear locking problems.

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