VIBRATION OF FGSW BEAMS UNDER NONUNIFORM MOTION OF MOVING LOAD USING AN EFFICIENT THIRD-ORDER SHEAR DEFORMATION FINITE ELEMENT FORMULATION

Vibration of functionally graded sandwich (FGSW) beams under nonuniform motion of a moving load is studied using a third-order shear deformation finite element formulation. The beams consists three layers, a homogeneous ceramic core and two functionally graded faces. Instead of the rotation, the finite element formulation is derived by using the transverse shear rotation as a unknown. Newmark method is used to compute the dynamic response of the beams. Numerical result reveals that the derived formulation is efficient, and it is capable to give accurate vibration characteristics by a small number of the elements. A parametric study is carried out to illustrate the effects of the material distribution, layer thickness ratio and moving load speed on the dynamic behavior of the beams. The influence of acceleration and deceleration of the moving load on the vibration of the beams is also examined and discussed.

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STATIC BENDING OF TWO-DIRECTIONAL FUNCTIONALLY GRADED SANDWICH PLATES USING A THIRD-ORDER SHEAR DEFORMATION FINITE ELEMENT MODEL

Vietnam Journal of Science and Technology ◽

10.15625/2525-2518/57/4a/14109 ◽

2020 ◽

Vol 57 (6A) ◽

pp. 77

Author(s):

Nguyen Van Chinh

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Shear Deformation ◽

Shear Deformation Theory ◽

Element Model ◽

Functionally Graded ◽

Third Order ◽

Layer Thickness Ratio ◽

Classical Boundary ◽

Bending Behavior

In this paper, static bending of two-direction functionally graded sandwich (2D-FGSW) plates is studied by using a finite element model. The plates consist of a homogeneous core and two functionally graded skin layers with material properties being graded in both the thickness and length directions by power gradation laws. Based on a third-order shear deformation theory, a finite element model is derived and employed in the analysis. Bending characteristics, including deflections and stresses are evaluated for the plates with classical boundary conditions under various types of distributed load. The effects of material distribution and layer thickness ratio on the static bending behavior of the plates are examined and highlighted.

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STATIC BENDING OF TWO-DIRECTIONAL FUNCTIONALLY GRADED SANDWICH PLATES USING A THIRD-ORDER SHEAR DEFORMATION FINITE ELEMENT MODEL

Vietnam Journal of Science and Technology ◽

10.15625/2525-2518/57/6a/14109 ◽

2020 ◽

Vol 57 (6A) ◽

pp. 77

Author(s):

Nguyen Van Chinh

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Shear Deformation ◽

Shear Deformation Theory ◽

Element Model ◽

Functionally Graded ◽

Third Order ◽

Layer Thickness Ratio ◽

Classical Boundary ◽

Bending Behavior

In this paper, static bending of two-direction functionally graded sandwich (2D-FGSW) plates is studied by using a finite element model. The plates consist of a homogeneous core and two functionally graded skin layers with material properties being graded in both the thickness and length directions by power gradation laws. Based on a third-order shear deformation theory, a finite element model is derived and employed in the analysis. Bending characteristics, including deflections and stresses are evaluated for the plates with classical boundary conditions under various types of distributed load. The effects of material distribution and layer thickness ratio on the static bending behavior of the plates are examined and highlighted.

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Finite element formulation of various four unknown shear deformation theories for functionally graded plates

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2013.07.003 ◽

2013 ◽

Vol 75 ◽

pp. 50-61 ◽

Cited By ~ 44

Author(s):

Huu-Tai Thai ◽

Dong-Ho Choi

Keyword(s):

Finite Element ◽

Shear Deformation ◽

Functionally Graded ◽

Finite Element Formulation ◽

Element Formulation ◽

Functionally Graded Plates ◽

Shear Deformation Theories

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Free vibration of bidirectional functionally graded sandwich beams using a first-order shear deformation finite element formulation

Journal of Science and Technology in Civil Engineering (STCE) - NUCE ◽

10.31814/stce.nuce2020-14(3)-12 ◽

2020 ◽

Vol 14 (3) ◽

pp. 136-150

Author(s):

Le Thi Ngoc Anh ◽

Vu Thi An Ninh ◽

Tran Van Lang ◽

Nguyen Dinh Kien

Keyword(s):

Finite Element ◽

Aspect Ratio ◽

Free Vibration ◽

Shear Deformation ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Finite Element Formulation ◽

Element Formulation ◽

First Order ◽

Various Boundary Conditions

Free vibration of bidirectional functionally graded sandwich (BFGSW) beams is studied by using a first-order shear deformation finite element formulation. The beams consist of three layers, a homogeneous core and two functionally graded skin layers with material properties varying in both the longitudinal and thickness directions by power gradation laws. The finite element formulation with the stiffness and mass matrices evaluated explicitly is efficient, and it is capable of giving accurate frequencies by using a small number of elements. Vibration characteristics are evaluated for the beams with various boundary conditions. The effects of the power-law indexes, the layer thickness ratio, and the aspect ratio on the frequencies are investigated in detail and highlighted. The influence of the aspect ratio on the frequencies is also examined and discussed. Keywords: BFGSW beam; first-order shear deformation theory; free vibration; finite element method.

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Free vibration of FG sandwich plates partially supported by elastic foundation using a quasi-3D finite element formulation

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/14701 ◽

2020 ◽

Author(s):

Le Cong Ich ◽

Pham Vu Nam ◽

Nguyen Dinh Kien

Keyword(s):

Finite Element ◽

Free Vibration ◽

Layer Thickness ◽

Elastic Foundation ◽

Functionally Graded ◽

Thickness Ratio ◽

Finite Element Formulation ◽

Element Formulation ◽

Sandwich Plates ◽

Layer Thickness Ratio

Free vibration of functionally graded (FG) sandwich plates partially supported by a Pasternak elastic foundation is studied. The plates consist of three layers, namely a pure ceramic hardcore and two functionally graded skin layers. The effective material properties of the skin layers are considered to vary in the plate thickness by a power gradation law, and they are estimated by Mori--Tanaka scheme. The quasi-3D shear deformation theory, which takes the thickness stretching effect into account, is adopted to formulate a finite element formulation for computing vibration characteristics. The accuracy of the derived formulation is confirmed through a comparison study. The numerical result reveals that the foundation supporting area plays an important role on the vibration behavior of the plates, and the effect of the layer thickness ratio on the frequencies is governed by the supporting area. A parametric study is carried out to highlight the effects of material distribution, layer thickness ratio, foundation stiffness and area of the foundation support on the frequencies and mode shapes of the plates. The influence of the side-to-thickness ratio on the frequencies of the plates is also examined and discussed.

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Influence of coupled fields on free vibration and static behavior of functionally graded magneto-electro-thermo-elastic plate

Journal of Intelligent Material Systems and Structures ◽

10.1177/1045389x17740739 ◽

2017 ◽

Vol 29 (7) ◽

pp. 1430-1455 ◽

Cited By ~ 31

Author(s):

Vinyas Mahesh ◽

Piyush J Sagar ◽

Subhaschandra Kattimani

Keyword(s):

Finite Element ◽

Electric Fields ◽

Elastic Plate ◽

Coupling Effect ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Finite Element Formulation ◽

Geometrical Parameters ◽

Element Formulation ◽

Elastic Plates

In this article, the influence of full coupling between thermal, elastic, magnetic, and electric fields on the natural frequency of functionally graded magneto-electro-thermo-elastic plates has been investigated using finite element methods. The contribution of overall coupling effect as well as individual elastic, piezoelectric, piezomagnetic, and thermal phases toward the stiffness of magneto-electro-thermo-elastic plates is evaluated. A finite element formulation is derived using Hamilton’s principle and coupled constitutive equations of magneto-electro-thermo-elastic material. Based on the first-order shear deformation theory, kinematics relations are established and the corresponding finite element model is developed. Furthermore, the static studies of magneto-electro-elastic plate have been carried out by reducing the fully coupled finite element formulation to partially coupled state. Particular attention has been paid to investigate the influence of thermal fields, electric fields, and magnetic fields on the behavior of magneto-electro-elastic plate. In addition, the effect of pyrocoupling on the magneto-electro-elastic plate has also been studied. Furthermore, the effect of geometrical parameters such as aspect ratio, length-to-thickness ratio, stacking sequence, and boundary conditions is studied in detail. The investigation may contribute significantly in enhancing the performance and applicability of functionally graded magneto-electro-thermo-elastic structures in the field of sensors and actuators.

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