Page 170 - 《振动工程学报》2026年第2期
P. 170
486 振 动 工 程 学 报 第 39 卷
shells[J]. Journal of Engineering Mechanics, 1984, [21] QU Y G,HUA H X,MENG G. A domain decomposition
110(5):794-809. approach for vibration analysis of isotropic and composite
[7] QATU M S. Accurate equations for laminated composite deep cylindrical shells with arbitrary boundaries[J]. Composite
thick shells[J]. International Journal of Solids and Structures, Structures,2013,95:307-321.
1999,36(19):2917-2941. [22] QU Y G,LONG X H,WU S H,et al. A unified formula-
[8] QATU M S. Vibration of Laminated Shells and Plates[M]. tion for vibration analysis of composite laminated shells of
Amsterdam:Elsevier,2004. revolution including shear deformation and rotary inertia[J].
[9] REDDY J N, LIU C F. A higher-order shear deformation Composite Structures,2013,98:169-191.
theory of laminated elastic shells[J]. International Journal of [23] SHU C,DU H. Free vibration analysis of laminated compos-
Engineering Science,1985,23(3):319-330. ite cylindrical shells by DQM[J]. Composites Part B: Engi-
[10] TOURATIER M. A refined theory of laminated shallow neering,1997,28(3):267-274.
shells[J]. International Journal of Solids and Structures, [24] ICH THINH T,NGUYEN M C. Dynamic stiffness matrix of
1992,29(11):1401-1415. continuous element for vibration of thick cross-ply laminated
[11] VIOLA E, TORNABENE F, FANTUZZI N. General composite cylindrical shells[J]. Composite Structures,2013,
higher-order shear deformation theories for the free vibration 98:93-102.
analysis of completely doubly-curved laminated shells and [25] THINH T I,NGUYEN M C. Dynamic stiffness method for
panels[J]. Composite Structures,2013,95:639-666. free vibration of composite cylindrical shells containing
[12] ZHANG X M. Vibration analysis of cross-ply laminated fluid[J]. Applied Mathematical Modelling, 2016, 40( 21-
composite cylindrical shells using the wave propagation 22):9286-9301.
approach[J]. Applied Acoustics,2001,62(11):1221-1228. [26] HE D Z,SHI D Y,WANG Q S,et al. Wave based method
[13] MATSUNAGA H. Vibration and buckling of cross-ply lami- (WBM) for free vibration analysis of cross-ply composite
nated composite circular cylindrical shells according to a laminated cylindrical shells with arbitrary boundaries[J].
global higher-order theory[J]. International Journal of Mechan- Composite Structures,2019,213:284-298.
ical Sciences,2007,49(9):1060-1075. [27] 钟万勰. 应用力学的辛数学方法 [M]. 北京:高等教育出版
[14] ZHANG X M,LIU G R,LAM K Y. Frequency analysis of 社,2006.
cylindrical panels using a wave propagation approach[J]. ZHONG Wanxie. Symplectic Solution Methodology in
Applied Acoustics,2001,62(5):527-543. Applied Mechanics[M]. Beijing: Higher Education Press,
[15] BLEVINS R D. Formulas for Natural Frequency and Mode 2006.
Shape[M]. Malabar,Florida:Krieger Publishing Company, [28] LI R,ZHONG Y,LI M. Analytic bending solutions of free
2001. rectangular thin plates resting on elastic foundations by a new
[16] JIN G Y,YE T G,CHEN Y H,et al. An exact solution for symplectic superposition method[J]. Proceedings of the Royal
the free vibration analysis of laminated composite cylindrical Society A: Mathematical, Physical and Engineering
shells with general elastic boundary conditions[J]. Composite Sciences,2013,469(2153):20120681.
Structures,2013,106:114-127. [29] LI R, NI X Q, CHENG G D. Symplectic superposition
[17] ZHONG R,TANG J Y,WANG A L,et al. An exact solu- method for benchmark flexure solutions for rectangular thick
tion for free vibration of cross-ply laminated composite cylin- plates[J]. Journal of Engineering Mechanics, 2015,
drical shells with elastic restraint ends[J]. Computers & Mathe- 141(2):04014119.
matics with Applications,2019,77(3):641-661. [30] LI R, WANG B, LI G, et al. Hamiltonian system-based
[18] SUN S P,CAO D Q,HAN Q K. Vibration studies of rotat- analytic modeling of the free rectangular thin plates’ free
ing cylindrical shells with arbitrary edges using characteristic vibration[J]. Applied Mathematical Modelling, 2016,
orthogonal polynomials in the Rayleigh–Ritz method[J]. Inter- 40(2):984-992.
national Journal of Mechanical Sciences, 2013, 68: 180- [31] ZHOU Z H,WONG K W,XU X S,et al. Natural vibra-
189. tion of circular and annular thin plates by Hamiltonian
[19] SOLDATOS K P. On the buckling and vibration of antisym- approach[J]. Journal of Sound and Vibration, 2011,
metric angle-ply laminated circular cylindrical shells[J]. Inter- 330(5):1005-1017.
national Journal of Engineering Science,1983,21(3):217- [32] TONG Z Z,NI Y W,ZHOU Z H,et al. Exact solutions for
222. free vibration of cylindrical shells by a symplectic approach[J].
[20] LIEW K M, ZHAO X, FERREIRA A J M. A review of Journal of Vibration Engineering & Technologies, 2018,
meshless methods for laminated and functionally graded plates 6(2):107-115.
and shells[J]. Composite Structures, 2011, 93( 8) : 2031- [33] NI Y W,TONG Z Z,RONG D L,et al. A new Hamilto-
2041. nian-based approach for free vibration of a functionally graded

