Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function

2020 ◽  
Author(s):  
Truong Hoai Chinh ◽  
Tran Minh Tu ◽  
Do Minh Duc ◽  
Tran Quang Hung
Keyword(s):  
Sandwich Beam ◽  
Meshfree Method ◽  
Basic Function ◽  
Functionally Graded ◽  
Porous Core ◽  
Point Interpolation ◽  
Flexural Analysis

scholarly journals Bending Analysis of Sandwich Beam with Functionally Graded Face Sheets Using Various Beam Theories by Meshfree Method

10.29007/9nvf ◽  
2020 ◽  
Author(s):  
Minh Duc Do ◽  
Minh Tu Tran ◽  
Hoai Chinh Truong
Keyword(s):  
Shear Deformation ◽  
Volume Fraction ◽  
Virtual Work ◽  
Axial Stress ◽  
Sandwich Beam ◽  
Meshfree Method ◽  
Functionally Graded ◽  
Skin Thickness ◽  
Material Volume ◽  
Beam Theories

An interpolation technique-based meshfree method using polynomial functions is employed to analyze the static behavior of sandwich beams with functionally graded face sheets and homogenous softcore. Various beam theories are expressed in general form and taken into account both shear deformation and normal deformation effects. The governing equation is derived from the principle of virtual work. The obtained results have been verified with the previously published works and a good agreement is found. The effects of skin-core-skin thickness ratios, material volume fraction indices, slenderness ratios, shear deformation, and thickness stretching effect on deflection and axial stress are investigated and discussed.

scholarly journals Free vibration analysis of sandwich beams with FG porous core and FGM faces resting on Winkler elastic foundation by various shear deformation theories

2018 ◽  
Vol 12 (3) ◽  
pp. 23-33 ◽  
Author(s):  
Dang Xuan Hung ◽  
Huong Quy Truong
Keyword(s):  
Free Vibration ◽  
Elastic Foundation ◽  
Equations Of Motion ◽  
Sandwich Beam ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Porous Core ◽  
Winkler Elastic Foundation ◽  
Beam Theories ◽  
Good Agreement

This paper studies the free vibration behavior of a sandwich beam resting on Winkler elastic foundation. The sandwich beam is composed of two FGM face layers and a functionally graded (FG) porous core. A common general form of different beam theories is proposed and the equations of motion are formulated using Hamilton's principle. The result of the general form is validated against those of a particular case and shows a good agreement. The effect of different parameters on the fundamental natural frequency of the sandwich beam is investigated. Article history: Received 02 March 2018, Revised 26 March 2018, Accepted 27 April 2018

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