TY - JOUR
T1 - Free vibrations of cylindrical shells with arbitrary boundary conditions
T2 - A comparison study
AU - Qin, Zhaoye
AU - Chu, Fulei
AU - Zu, Jean
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/11
Y1 - 2017/11
N2 - In this paper, the free vibration characteristics of cylindrical shells with arbitrary boundary conditions are investigated. The Sanders shell theory is used to calculate the elastic strain energy. Artificial springs are implemented at the ends of the shells to represent the arbitrary boundary conditions. The shell displacements are expanded by three different sets of formulations, namely, the modified Fourier series, the Orthogonal polynomials, and the Chebyshev polynomials. A unified solution for the three different types of expansion functions is developed using the Rayleigh-Ritz method. The unified solution is validated by comparing with the available results in the literature. The accuracy, convergence rate, and computational efficiency of the three expansion functions are compared. Based on the comparison studies, the Chebyshev polynomials of high computational efficiency are selected to investigate the influence of boundary conditions on the free vibration characteristics of cylindrical shells.
AB - In this paper, the free vibration characteristics of cylindrical shells with arbitrary boundary conditions are investigated. The Sanders shell theory is used to calculate the elastic strain energy. Artificial springs are implemented at the ends of the shells to represent the arbitrary boundary conditions. The shell displacements are expanded by three different sets of formulations, namely, the modified Fourier series, the Orthogonal polynomials, and the Chebyshev polynomials. A unified solution for the three different types of expansion functions is developed using the Rayleigh-Ritz method. The unified solution is validated by comparing with the available results in the literature. The accuracy, convergence rate, and computational efficiency of the three expansion functions are compared. Based on the comparison studies, the Chebyshev polynomials of high computational efficiency are selected to investigate the influence of boundary conditions on the free vibration characteristics of cylindrical shells.
KW - Arbitrary boundary conditions
KW - Comparison
KW - Cylindrical shells
KW - Free vibration
KW - Unified solution
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U2 - 10.1016/j.ijmecsci.2017.08.012
DO - 10.1016/j.ijmecsci.2017.08.012
M3 - Article
AN - SCOPUS:85027996375
SN - 0020-7403
VL - 133
SP - 91
EP - 99
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -