A three-dimensional solution for rectangular plate bending free of transversal normal stresses

1999 ◽  
Vol 15 (4) ◽  
pp. 295-302 ◽  
Author(s):  
Heinrich Werner
Keyword(s):  
Rectangular Plate ◽  
Three Dimensional ◽  
Plate Bending ◽  
Normal Stresses ◽  
Dimensional Solution

scholarly journals Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts

Materials ◽  
2020 ◽  
Vol 13 (14) ◽  
pp. 3113
Author(s):  
Kai Xue ◽  
Wenhao Huang ◽  
Qiuhong Li
Keyword(s):  
Fourier Series ◽  
Rectangular Plate ◽  
Three Dimensional ◽  
Laminated Composite ◽  
Future Research ◽  
Analysis Model ◽  
Dimensional Solution ◽  
Element Analysis ◽  
Ritz Procedure ◽  
Three Dimensional Elasticity

The main purpose of this paper is to establish an analysis model of laminated composite rectangular plate with/without cutouts on the basis of three-dimensional elasticity theory and provide the exact three-dimensional solution. In the present work, the effect of the cutout is considered by subtracting the energies of cutouts from the total energy of the entire plate. The standard three-dimensional trigonometric cosine Fourier series and auxiliary Fourier series are chosen as admissible functions, and the Hamilton’s principle and Rayleigh-Ritz procedure are used to obtain the exact solution. In order to verify the effectiveness and reliability of the proposed method, some numerical results are obtained, and the results are compared with the ones available in the literature or finite element analysis. Finally, the effects of some key parameters which will affect the vibration characteristics are analyzed, and the non-dimensional frequency parameters are obtained, which can serve as benchmark data for the future research.

THE SCHEME OF BIORTHOGONALIZATION OF VECTORS IN SOLVING THE PROBLEM OF RECTANGULAR PLATE BENDING

2019 ◽  
Vol 50 (6) ◽  
pp. 673-678
Author(s):  
Vladimir Ivanovich Lysukhin ◽  
Julian Fedotovich Yaremchuk
Keyword(s):  
Rectangular Plate ◽  
Plate Bending

Reduction of Free-Edge Stress Concentration

1985 ◽  
Vol 52 (4) ◽  
pp. 801-805 ◽  
Author(s):  
P. R. Heyliger ◽  
J. N. Reddy
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Finite Element Model ◽  
Three Dimensional ◽  
Element Model ◽  
Free Edge ◽  
Shear Stresses ◽  
Normal Stresses ◽  
Interlaminar Shear ◽  
Three Dimensional Elasticity

A quasi-three dimensional elasticity formulation and associated finite element model for the stress analysis of symmetric laminates with free-edge cap reinforcement are described. Numerical results are presented to show the effect of the reinforcement on the reduction of free-edge stresses. It is observed that the interlaminar normal stresses are reduced considerably more than the interlaminar shear stresses due to the free-edge reinforcement.

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