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Free vibration of thick plates with cutouts by meshless method based on higher order shear deformation theory

•   Mr. Seyed Amin Vakili ,  Ferdowsi Univeristy of Mashhad ,   
•   Dr. Farzad Shahabian ,  Professor, Civil Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran ,   
•   Dr. Mohammad Hosein Ghadiri Rad ,  Quchan University of technology ,   

Major Topic: Structural Analysis Methods|روش های تحلیل سازه

Abstract

In this paper, free vibration of thick plate with cutout is carried out using Element Free Galerkin (EFG) method based on the third order shear deformation theory. It should be mentioned that the EFG method does not need any mesh generation in problem domain and its boundaries. The Radial Point Interpolation method (RPIM) is used to discrete the problem domain. Since the produced functions using RPIM has the Kronecker delta function property, the essential boundary conditions can be enforced in a simple way. To examine the validity of the EFG method in the application of eigenvalue problems for the shear deformable plates, natural frequencies of the square thick plates with different hard-type boundary conditions are calculated. The obtained results are compared with other methods, Numerical implementations show that the presented method has high efficiency, good accuracy.

Keywords

EFG method; Thick plate; Cutout; Higher order shear deformation theory; free vibration

• The EFG method is developed for bending analysis of thick plate with cutout.
• The Radial Point Interpolation method with Kronecker delta function property (RPIM) with is used to discrete the problem domain.
• The derivative of deflection shape function is used for interpolation of rotation to overcome shear-locking issue.

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