Abstract
The functionally graded honeycomb has the characteristic of light weight, low density, high impact resistance, noise reduction, and energy absorption as a kind of new composite inhomogeneous materials. It has the advantages of both functionally graded materials and honeycombs. In this paper, a functionally graded honeycomb sandwich plate with functionally graded distributed along the thickness of the plate is constructed. The equivalent elastic parameters of the functionally graded honeycomb core are given. Based on Reddy’s higher-order shear deformation theory (HSDT) and Hamilton’s principle, the governing partial differential equation of motion is derived under four simply supported boundary conditions. The natural frequencies of the graded honeycomb sandwich plate are obtained by both the Navier method from the governing equation and the finite element model. The results obtained by the two methods are consistent. Based on this, the effects of parameters and graded on the natural frequencies of the functionally graded honeycomb sandwich plate are studied. Finally, the dynamic responses of the functionally graded honeycomb sandwich plate under low-speed impacts are studied. The results obtained in this paper will provide a theoretical basis for further study of the complex dynamics of functionally graded honeycomb structures.
Highlights
It is known that the functionally graded material (FGM) can be adapted to the need of modern high-tech areas like the aerospace industry and satisfied with the limited environment and repeatedly used. erefore, its properties have certain advantages compared with general composite materials [1]
More and more research works are focused on honeycombs; for example, Hamidreza and Farid [7] studied the vibrational behaviors of auxetic honeycomb composite cylindrical shells subjected to moving pressures
The equivalent elastic parameters for the functionally graded honeycomb core are given and established the model of the sandwich plate with the functionally graded honeycomb core by using HSDT and Hamilton’s principle. e natural frequencies are compared from the theoretical model and finite element model which prove the effectiveness of equivalent parameters and the model of the graded honeycomb sandwich plate. e frequency changes with the geometric parameters of the plate are obtained, and the vibration energy absorptions of auxetic functionally graded honeycomb panel are studied
Summary
It is known that the functionally graded material (FGM) can be adapted to the need of modern high-tech areas like the aerospace industry and satisfied with the limited environment and repeatedly used. erefore, its properties have certain advantages compared with general composite materials [1]. Duc et al [9] studied the dynamic response and vibration of a composite honeycomb sandwich plate and analyzed the influence of the geometric properties on the natural frequencies. E functionally graded honeycomb (FGH) sandwich plate is composed of upper and lower skins, and the honeycomb core layer and the graded are distributed along the length or thickness of the plate It is a new engineering material integrated with physical and structural functions, which attracts a large number of scholars to study deeply in. Li et al [20] studied the response of the three-layer graded honeycomb core sandwich plate under explosion load through experiments and analyzed the structural response by the finite element software. E frequency changes with the geometric parameters of the plate are obtained, and the vibration energy absorptions of auxetic functionally graded honeycomb panel are studied The equivalent elastic parameters for the functionally graded honeycomb core are given and established the model of the sandwich plate with the functionally graded honeycomb core by using HSDT and Hamilton’s principle. e natural frequencies are compared from the theoretical model and finite element model which prove the effectiveness of equivalent parameters and the model of the graded honeycomb sandwich plate. e frequency changes with the geometric parameters of the plate are obtained, and the vibration energy absorptions of auxetic functionally graded honeycomb panel are studied
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