Free Vibration and Bending of Gradient Auxetic Plate Using Finite Element Method
Main Article Content
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..
References
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[5] X. W. Zhang, D. Q. Yang, Numerical and Experimental Studies of a Light - Weight Auxetic Cellular Vibration Isolation Base, 2016, pp. 1-16, https://doi.org/10.1155/2016/4017534.
[6] N. D. Duc, S. E. Kim, N. D. Tuan, T. Phuong, N. D. Khoa, New Approach to Study Nonlinear Dynamic Response and Vibration of Sandwich Composite Cylindrical Panels with Auxetic Honeycomb Core Layer, Aerospace Science and Technology, Vol. 70, 2017, pp. 396-404, https://doi.org/10.1016/j.ast.2017.08.023.
[7] N. D. Duc, P. H. Cong, Nonlinear Dynamic Response and Vibration of Sandwich Composite Plates with Negative Poisson’s Ratio in Auxetic Honeycombs, Journal of Sandwich Structures and Materials, Vol. 20, No. 6, 2018,
pp. 692-717, https://doi.org/10.1177/1099636216674729.
[8] P. H. Cong, P. T. Long, N. V. Nhat, N. D. Duc, Geometrically Nonlinear Dynamic Response of Eccentrically Stiffened Circular Cylindrical Shells with Negative Poisson’s Ratio in Auxetic Honeycombs Core Layer, International Journal of Mechanical Sciences, Vol. 152, 2019, pp. 443-453, https://doi.org/10.1016/j.ijmecsci.2018.12.052.
[9] N. D. Duc, K. S. Eock, P. H. Cong, N. T. Anh, N. D. Khoa, Dynamic Response and Vibration of Composite Double Curved Shallow Shells with Negative Poisson’s Ratio in Auxetic Honeycombs Core Layer on Elastic Foundations Subjected to Blast and Damping Loads, International Journal of Mechanical of Sciences, Vol. 133, 2017,
pp. 504-512, https://doi.org/10.1016/j.ijmecsci.2017.09.009.
[10] K. Meena, S. Singamneni, A New Auxetic Structure with Significantly Reduced Stress Concentration Effects, Materials and Design, Vol. 173, 2019, pp. 107779, https://doi.org/10.1016/j.matdes.2019.107779.
[11] J. Zhang, B. Dong, W. Zhang, Dynamic Crushing of Gradient Auxetic Honeycombs, Journal of Vibration Engineering & Technologies, Vol. 11, 2020, https://doi.org/10.1007/s42417-020-00236-z.
[12] P. H. Cong, P. M. Phuc, H. T. Thiem, D. T. Manh, N. D. Duc, Static Bending Analysis of Auxetic Plate by FEM and a New Third-order Shear Deformation Plate Theory, VNU Journal of Science: Natural Sciences and Technology, Vol. 36, No. 1, 2020, pp. 90-99, https://doi.org/10.25073/2588-1140/vnunst.5000.
[13] T. Strek, B. Maruszewski, J. W. Narojczyk, K. W. Wojciechowski, Finite Element Analysis of Auxetic Plate Deformation, Journal of Non-Crystalline Solids, Vol. 354, 2008, pp. 4475-4480, https://doi.org/10.1016/j.jnoncrysol.2008.06.087.
[14] S. Dutta, H. G. Menon, M. P. Hariprasad, A. Krishnan, B. Shankar, Study of Auxetic Beams under Bending: A Finite Element Approach, Materials Today: Proceedings, 2020, https://doi.org/10.1016/j.matpr.2020.10.479.
[15] M. Abid, S. Maqsood, H. A. Wajid, Comparative Modal Analysis of Gasketed and Nongasketed Bolted Flamged Pipe Joints: FEA Approach, Advances in Mechanical Engineering, 2012, https://doi.org/10.1155/2012/413583.
[16] D. W. Herrin, Slides to Accompany Lectures in Vibro-Acoustic Design in Mechanical Systems 2012,
KY 40506-0503.