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Steel and Composite Structures Volume 43, Number 1, April10 2022 , pages 091-106 DOI: https://doi.org/10.12989/scs.2022.43.1.091 |
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Three-dimensional vibration analysis of 3D graphene foam curved panels on elastic foundations |
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Li-Cai Zhao, Shi-Shuenn Chen, Mohammad Khajehzadeh, Mariwan Araz Yousif and Vahid Tahouneh
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| Abstract | ||
| This paper has focused on presenting a three dimensional theory of elasticity for free vibration of 3D-graphene foam reinforced polymer matrix composites (GrF-PMC) cylindrical panels resting on two-parameter elastic foundations. The elastic foundation is considered as a Pasternak model with adding a Shear layer to the Winkler model. The porous graphene foams possessing 3D scaffold structures have been introduced into polymers for enhancing the overall stiffness of the composite structure. Also, 3D graphene foams can distribute uniformly or non-uniformly in the shell thickness direction. The effective Young's modulus, mass density and Poisson's ratio are predicted by the rule of mixture. Three complicated equations of motion for the panel under consideration are semi-analytically solved by using 2-D differential quadrature method. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. Because of using twodimensional generalized differential quadrature method, the present approach makes possible vibration analysis of cylindrical panels with two opposite axial edges simply supported and arbitrary boundary at the curved edges. It is explicated that 3D-GrF skeleton type and weight fraction can significantly affect the vibrational characteristics of GrF-PMC panel resting on twoparameter elastic foundations. | ||
| Key Words | ||
| 2-D differential quadrature method; 3D-GrF; cylindrical panel; natural frequency; Polymer matrix composite (PMC); three-dimensional theory of elasticity; two-parameter elastic foundation | ||
| Address | ||
| Li-Cai Zhao:1) Department of Civil and Construction Engineering, National Taiwan University of Science and Technology, No.43, Keelung Road, Sec.4, Taipei 106, Taiwan 2)School of Civil Engineering, Tianjin University, Tianjin 300072, China 3)China Railway 19th Bureau Group Third Engineering Co., Ltd., Shenyang 110136, China Shi-Shuenn Chen:Department of Civil and Construction Engineering, National Taiwan University of Science and Technology,No.43, Keelung Road, Sec.4, Taipei 106, Taiwan Mohammad Khajehzadeh:Department of Civil Engineering, Anar Branch, Islamic Azad University, Anar, Iran Mariwan Araz Yousif:Department of Architectural Engineering, Cihan University-Erbil, kurdistan region, Iraq Vahid Tahouneh:Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran | ||