Journal
APPLIED MATHEMATICAL MODELLING
Volume 97, Issue -, Pages 69-80Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.03.054
Keywords
First-order shear deformation theory; Artificial spring method; Jacobi orthogonal polynomials; Multi-segment partition technique; FGPGP coating
Funding
- National Natural Science Foundation of China [51970530, 51505070]
- Key Laboratory of Vibration and Control of Aero-Propulsion System, Ministry of Education, Northeastern University [VCAME202006]
- Fundamental Research Funds for the Central Universities of China [N180302004, N180703018, 2003032]
- Opening Project of Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, P. R. China [2019kfkt06]
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The study proposed a unified vibration model of FRP cylindrical shell with FGPGP coating. By introducing multi-segment partition techniques, artificial spring method, and Jacobi orthogonal polynomials, the equation of motion of FRPCS was derived to solve free and forced vibrations.
In this study, a unified vibration model of fiber reinforced polymer (FRP) cylindrical shell with functionally graded porous graphene platelets (FGPGP) coating is proposed. The material properties of four types of FGPGP coating are presented first, and then the displacements of the structure are expressed by using the first-order shear deformation theory. The energy expressions of coating are introduced by the multi-segment partition technique. Then, an artificial spring method is employed to simulate arbitrary boundary conditions. With the application of the Jacobi orthogonal polynomials and the multi-segment partition techniques, the equation of motion of FRPCS with FG-PGP coating is derived to solve the free and forced vibrations. Finally, the model is systematically verified with some references and dynamic analysis with different coating patterns, boundary conditions and the thickness of coating are comprehensively investigated. (c) 2021 Elsevier Inc. All rights reserved.
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