TAILIEUCHUNG - Free vibration and bending of gradient auxetic plate using finite element method

In this paper, the Finite Element Method (in ANSYS) is used to investigate natural frequency of vibration and bending characteristics under varying pressure loads applied on the top skin when changing fundamental properties of some gradient configurations, including angular gradient, thickness gradient and functional gradient configurations of the auxetic plate with honeycomb structure. | VNU Journal of Science Mathematics Physics Vol. 37 No. 4 2021 102-118 Original Article Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method Pham Hong Cong1 Vu Dinh Trung1 Do Duc Hai2 Nguyen Dinh Khoa2 1 Centre for Informatics and Computing Vietnam Academy of Science and Technology 18 Hoang Quoc Viet Hanoi Vietnam 2 VNU University of Engineering and Technology 144 Xuan Thuy Cau Giay Hanoi Vietnam Received 21 July 2021 Revised 02 August 2021 Accepted 02 August 2021 Abstract In recent years there has been a new approach to the material industry that uses sandwich structures with auxetic honeycomb cores with the interesting property of negative Poisson s ratios. In this paper the Finite Element Method in ANSYS is used to investigate natural frequency of vibration and bending characteristics under varying pressure loads applied on the top skin when changing fundamental properties of some gradient configurations including angular gradient thickness gradient and functional gradient configurations of the auxetic plate with honeycomb structure. Thereby the advantages of each configuration are investigated studied and obtained therefore it is expected to be applied in various industry sectors such as wind turbine blades aircraft wings among others. Keywords auxetic plate gradient auxetic free vibration and bending Finite Element Method Nomenclature t The thickness of the wall of honeycombs E Elastic module of material l The length of the wall of honeycombs Density of material θ The inclined angle of the cells Poisson s ratio of material h Height of the plate hc Width of single cell L Length of the plate G Shear moduli of material h1 The thickness of top layer h2 The thickness of middle layer h3 The thickness of top layer _ Corresponding author. E-mail address phcong@ https 2588-1124 102 P. H. Cong et al. VNU Journal of Science Mathematics Physics Vol. 37 No. 4 2021 102-118 103 1. Introduction Auxetic .

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