期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 28, 期 2, 页码 182-199出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2018.1553258
关键词
Free vibration; combined composite laminated cylindrical and spherical shells; penalty method; arbitrary boundary conditions; unified displacement functions
类别
资金
- Naval pre-research project, High Technology Ship Funds of Ministry of Industry and Information of P.R. China
- Assembly Advanced Research Fund Of China [6140210020105]
- Ph.D. Student Research and Innovation Fund of the Fundamental Research Funds for the Central Universities [HEUGIP201801]
- Fundamental Research Funds for the Central University [HEUCFD1515, HEUCFM170113]
- Major innovation projects Of High Technology Ship Funds of Ministry of Industry and Information of P.R. China
- China Postdoctoral Science Foundation [2014M552661]
- National key Research and Development program [2016YFC0303406]
- National Natural Science Foundation of China [51209052]
The analytical model for composite laminated shell presented in this paper was established based on a multi-segment partitioning strategy and first-order shear deformation theory. Displacement functions were formulated using Jacobi polynomials and Fourier series, and the Rayleigh-Ritz method was employed to obtain solutions for free vibration behaviors. The proposed method demonstrated good stable and rapid convergence properties, as confirmed by convergence studies and numerical verifications.
In this paper, the analytical model is established on base of multi-segment partitioning strategy and first-order shear deformation theory. The displacement functions are made up of the Jacobi polynomials along the axial direction and Fourier series along the circumferential direction. In order to obtain continuity conditions and satisfy arbitrary boundary conditions, the penalty method about spring technique is adopted. The solutions about free vibration behaviors of combined composite laminated shell were obtained by approach of Rayleigh-Ritz. The convergence study and numerical verifications are carried out. Results show that the proposed method has a good stable and rapid convergence property.
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