Wave propagation in graphene reinforced piezoelectric sandwich nanoplates via high-order nonlocal strain gradient theory

Hu, Biao; Liu, Juan; Wang, Yuxing; Zhang, Bo; Shen, Huoming

doi:10.1007/s10409-021-01113-y

Cited by 15 publications

(1 citation statement)

References 30 publications

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“…Cylindrical shells have been considered for many years due to their many applications and special properties. [1][2][3][4][5] Due to the high weight resistance ratio and resistance to moisture and corrosion and other unique properties of composites, composite shells have gradually found their place in various industries. [6][7][8][9][10][11][12] Therefore, various analyzes of composite cylindrical shells are of special importance, and the stability and vibration analysis of these shells is one of the most important.…”

Section: Introductionmentioning

confidence: 99%

Vibrations of composite structures: Finite element and analytical investigation

Farazin

Zhang

Abed

2022

Polymers and Polymer Composites

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In this examination, the free vibrations of complete composite shells with rectangular openings based on first-order shear deformation theory have been studied. The equations are generally written in such a way that they can be converted to any of Donnell, Love, or Sanders theories. To study the shell with the opening of the problem-solving space, it is elementalized in such a way that the boundary conditions and loading are uniform at the edges of each element. For each element, the governing equations, the boundary conditions of the edges, and the compatibility conditions at the common boundary of the adjacent elements are discretized by the generalized differential quadrature method in the longitudinal and peripheral directions, and by assembling them, a system of algebraic equations is formed. Finally, the natural frequency of the structure is calculated using the solution of the eigenvalue. To validate this method, the results are compared with the results of some articles as well as the results of Abaqus finite element software. After ensuring the efficiency of the present method, it has been used to study the effect of different parameters on the vibrational behavior of shells with and without apertures. These studies show that relatively small openings (c/L <0.3) have little effect on the natural frequency of the shell, regardless of the material and the porcelain layer of the shell. While reducing the ratio of length to radius or increasing the thickness of the shell is also effective in reducing the effects of opening. In addition, the effect of peripheral openings is far less than longitudinal openings.

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