[1] C. Wang, and J.C.S. Lai, “Prediction of natural frequencies of finite length circular cylindrical shells,” Applied Acoustics vol. 59, pp. 385-400, 2000.
[2] A. Roytman, and O. Titova, “An Analytical Approach to Determining the Dynamic Characteristics of a Cylindrical Shell with Closing Cracks,” J. Sound Vib., vol. 254 pp. 379–386, 2002.
[3] K.H. Ip, and P.C. Tse, “Locating damage in circular cylindrical composite shells based on frequency sensitivities and mode shapes,” Eur. J. Mech., vol. 21, pp. 615–628, 2002.
[4] M. Javidruzi, A. Vafai, J.F. Chen, and J.C. Chilton, “Vibration, buckling and dynamic stability of cracked cylindrical shells,” Thin-Walled Struct., vol. 42, pp. 79–99, 2004.
[5] A. Vaziri, and H. E. Estekanchi, “Buckling of cracked cylindrical thin shells under combined internal pressure and axial compression,” Thin-Walled Structures, vol.44, pp. 141–151, 2006.
[6] J. Xin, J. Wang, J. Yao, and Q. Han, “Vibration, buckling and dynamic stability of a cracked cylindrical shell with time varying rotating speed,” Mechanics based Design of Structures and Machines, vol. 39, pp. 461–490, 2011.
[7] T. Yin, and H.F. Lam, “Dynamic analysis of finite-length circular cylindrical shells with a circumferential surface crack,” J. Eng. Mech., vol.139 pp. 1419–1434, 2013.
[8] S. Moradi, and V. Tavaf, “Crack detection in circular cylindrical shells using differential quadrature method,” Int. J. of Pres. Vessels and Pipes, pp. 209–216, 2013.
[9] L. Sarker, Y. Xiang, X.Q. Zhu, and Y.Y. Zhang, “Damage detection of circular cylindrical shells by ritz method and wavelet analysis,” Electronic Journal of Structural Engineering, vol. 14, pp. 62–74, 2015.
[10] K. Moazzeza, H. Saeidi Googarchin, and S.M.H. Sharifi, “ Natural frequency analysis of a cylindrical shell containing a variably oriented surface crack utilizing line-spring model,” thin-walled structures, Vol. 125, pp. 63–75, 2018.
[11] R. D. Cook, “Concepts and applications of finite element analysis,” John Wiley and Sons 2nd ed, New York, 1981.
[12] V. V. Bolotin, “The dynamic stability of elastic systems,” Holden-Day, 1964.
[13] J. L. Sewall, and E. C. Naumann, “An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners,” NASA TN D-4705, 1968