Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 74, Issue -, Pages 381-393Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2018.12.003
Keywords
Free vibration; Spherical-cylindrical-spherical shell; Parameters study; Unified displacement functions; A semi analytical method
Categories
Funding
- Naval pre-research project
- Ph.D. Student Research and Innovation Fund of the Fundamental Research Funds for the Central Universities [HEUGIP201801]
- National key Research and Development program [2016YFC0303406]
- High Technology Ship Funds of Ministry of Industry and Information of P.R. China
- Assembly Advanced Research Fund Of China [6140210020105]
- Major innovation projects Of High Technology Ship Funds of Ministry of Industry and Information of P.R.China
- China Postdoctoral Science Foundation [2014M552661]
- Fundamental Research Funds for the Central University [HEUCFD1515, HEUCFM170113]
- National Natural Science Foundation of China [51209052]
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The main purpose of this paper is to provide a semi analytical method to analyze the free vibration of spherical-cylindrical-spherical shell subject to arbitrary boundary conditions. The formulations are established based on energy method and Flugge thin shell theory. The displacement functions are expressed by unified Jacobi polynomials and Fourier series. The arbitrary boundary conditions are simulated by penalty method about spring stiffness. The final solutions of spherical-cylindrical-spherical shell are obtained by Rayleigh-Ritz method. To sufficient illustrate the effectiveness of proposed method, some numerical example about spring stiffness, Jacobi parameters etc. are carried out. In addition, to verify the accuracy of this method, the results are compared with those obtained by FEM, experiment and published literature. The results show that the proposed method has ability to solve the free vibration behaviors of spherical-cylindrical-spherical shell.
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