Собственные колебания композитных эллиптических цилиндрических оболочек с жидкостью
С. В. Лекомцев, В. П. Матвеенко

Библиографический список
1.	Yao J. C., Jenkins W. C., “Buckling of elliptic cylinders under normal pressure”, AIAA Journal, 8:1 (1970), 22–27
2.	Sewall J. L., Pusey C. G., “Vibration study of clamped-free elliptical cylindrical shells”, AIAA Journal, 9:6 (1971), 1004–1011
3.	Andreev L. V., Antsiferov A. V., Kucherenko V. M., Pavlenko I. D., “Regions of stability of elliptical cylinders under loading by static and impulsive external pressure”, Strength of Materials, 17 (1985), 1606–1609
4.	Heck O. S., The Stability of Orthotropic Elliptic Cylinders in Pure Bending, NACA-TM-834, 1937, 33 pp.
5.	Marguerre K., Stability of the Cylindrical Shell of Variable Curvature, NACA-TM-1302, 1951, 64 pp.
6.	Culberson L. D., Boyd D. E., “Free vibrations of freely supported oval cylinders”, AIAA Journal, 9:8 (1971), 1474–1480
7.	Shirakawa K., Morita M., “Vibration and buckling of cylinders with elliptical cross section”, Journal of Sound and Vibration, 84:1 (1982), 121–131
8.	Soldatos K. P., “Mechanics of cylindrical shells with non-circular cross-section: A survey”, Applied Mechanics Reviews, 52 (1999), 237–274
9.	Qatu M. S., Sullivan R. W., Wang W., “Recent research advances on the dynamic analysis of composite shells: 2000-2009”, Composite Structures, 93:1 (2010), 14–31
10.	Qatu M., Asadi E., Wang W., “Review of recent literature on static analyses of composite shells: 2000-2010”, Open Journal of Composite Materials, 2:3 (2012), 61–86
11.	Sutar P., Mujawar A., Chougule R., “Vibrational analysis of composite laminated shell: A review”, AIP Conference Proceedings, 2716:1 (2023), 040008
12.	Soldatos K. P., “A Flugge-type theory for the analysis of anisotropic laminated non-circular cylindrical shells”, International Journal of Solids and Structures, 20:2 (1984), 107–120
13.	Hui D., Du H. Y., “Effects of axial imperfections on vibrations of anti-symmetric cross-ply, oval cylindrical shells”, Journal of Applied Mechanics, 53:3 (1986), 675–680
14.	Kumar V., Singh A. V., “Vibration Analysis of non-circular cylindrical shells using Bezier functions”, Journal of Sound and Vibration, 161:2 (1993), 333–354
15.	Suzuki K., Shikanai G., Leissa A. W., “Free vibrations of laminated composite thin non-circular cylindrical shell”, Journal of Applied Mechanics, 61:4 (1994), 861–871
16.	Kumar V., Singh A. V., “Vibrations of composite noncircular cylindrical shells”, Journal of Vibration and Acoustics, 117:4 (1995), 471–476
17.	Suzuki K., Shikanai G., Leissa A. W., “Free vibrations of laminated composite thick non-circular cylindrical shell”, International Journal of Solids and Structures, 33:27 (1996), 4079–4100
18.	Zhao J., Choe K., Shuai C., Wang A., Wang Q., “Free vibration analysis of laminated composite elliptic cylinders with general boundary conditions”, Composites Part B: Engineering, 158 (2019), 55–66
19.	Ganapathi M., Haboussi M., “Free vibrations of thick laminated anisotropic non-circular cylindrical shells”, Composite Structures, 60:2 (2003), 125–133
20.	Ganapathi M., Patel B. P., Patel H. G., Pawargi D. S., “Vibration analysis of laminated cross-ply oval cylindrical shells”, Journal of Sound and Vibration, 262:1 (2003), 65–86
21.	Patel B. P., Gupta S. S., Loknath M. S., Kadu C. P., “Free vibration analysis of functionally graded elliptical cylindrical shells using higher-order theory”, Composite Structures, 69:3 (2005), 259–270
22.	Hayek S. I., Boisvert J. E., “Vibration of elliptic cylindrical shells: Higher order shell theory”, Journal of the Acoustical Society of America, 128 (2010), 1063–1072
23.	Tornabene F., Fantuzzi N., Bacciocchi M., Dimitri R., “Free vibrations of composite oval and elliptic cylinders by the generalized differential quadrature method”, Thin-Walled Structures, 97 (2015), 114–129
24.	Вильде М. В., Коссович Л. Ю., Шевцова Ю. В., “Асимптотическое интегрирование динамических уравнений теории упругости для случая многослойной тонкой оболочки”, Известия Саратовского университета. Новая серия. Серия: Математика. Механика. Информатика, 12:2 (2012), 56–64     [Wilde M. V., Kossovich L. Yu., Shevtsova Y. V., “Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell”, Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 12:2 (2012), 56–64 (in Russian)  ]
25.	Viola E., Tornabene F., Fantuzzi N., “General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels”, Composite Structures, 95 (2013), 639–666
26.	Tornabene F., Fantuzzi N., Bacciocchi M., “Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories”, Composites Part B: Engineering, 67 (2014), 490–509
27.	Tornabene F., “General higher-order layer-wise theory for free vibrations of doubly-curved laminated composite shells and panels”, Mechanics of Advanced Materials and Structures, 23:9 (2016), 1046–1067
28.	Kulikov G. M., Plotnikova S. V., “Finite rotation exact geometry solid-shell element for laminated composite structures through extended SaS formulation and 3D analytical integration”, International Journal for Numerical Methods in Engineering, 119:9 (2019), 948–964
29.	Kulikov G. M., Plotnikova S. V., “Exact geometry four-node solid-shell element for stress analysis of functionally graded shell structures via advanced SaS formulation”, Mechanics of Advanced Materials and Structures, 27:12 (2020), 1046–1067
30.	Kulikov G. M., Plotnikova S. V., “Exact geometry SaS-based solid-shell element for coupled thermoelectroelastic analysis of smart structures with temperature-dependent material properties”, Acta Mechanica, 234 (2023), 163–189
31.	Лекомцев С. В., Бочкарев С. А., “Собственные колебания частично заполненных жидкостью некруговых цилиндрических оболочек с учетом плескания свободной поверхности”, Вычислительная механика сплошных сред, 7:4 (2014), 471–480   [Lekomtsev S. V., Bochkarev S. A., “Natural vibrations of non-circular cylindrical shells partially filled with fluid with sloshing of free surface”, Computational Continuum Mechanics, 7:4 (2014), 471–480 (in Russian)  ]
32.	Bochkarev S. A., Lekomtsev S. V., Matveenko V. P., “Natural vibrations of loaded noncircular cylindrical shells containing a quiescent fluid”, Thin-Walled Structures, 90 (2015), 12–22
33.	Bochkarev S. A., Lekomtsev S. V., Matveenko V. P., “Natural vibrations and stability of elliptical cylindrical shells containing fluid”, International Journal of Structural Stability and Dynamics, 16:10 (2016), 1550076
34.	Zhang X., Zhang W., “Free bending vibration of elliptical column partially submerged in water”, Applied Mathematics and Mechanics, 7:9 (1986), 869–876
35.	Zhu Y., Weng Z.-Y., “Vibration analysis of elliptical column partially submerged in water”, Applied Mathematics and Mechanics, 9:4 (1988), 335–346
36.	Xiang Y., Huang Y., “A novel semi-analytical method for solving acoustic radiation from longitudinally stiffened infinite non-circular cylindrical shells in water”, Acta Mechanica Solida Sinica, 18:1 (2005), 1–12
37.	Firouz-Abadi R. D., Noorian M. A., Haddadpour H., “A fluid-structure interaction model for stability analysis of shells conveying fluid”, Journal of Fluids and Structures, 26 (2010), 747–763
38.	Zhang G. J., Li T. Y., Zhu X., Yang J., Miao Y. Y., “Free and forced vibration characteristics of submerged finite elliptic cylindrical shell”, Ocean Engineering, 129 (2017), 92–106
39.	Zienkiewicz O. C., Finite Element Method in Engineering Science, McGraw-Hill, London, 1971, 521 pp.
40.	Reddy J. N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed, CRC Press, Boca Raton, 2004, 858 pp.
41.	Алфутов Н. А., Зиновьев П. А., Попов Б. Г., Расчет многослойных пластин и оболочек из композиционных материалов, Машиностроение, М., 1984, 264 с. [Alfutov N. A., Zinov'ev P. A., Popov B. G., Calculation of Layered Plates and Shells Made of Composite Materials, Mashinostroenie Publishers, M., 1984, 264 pp. (in Russian)]
42.	Zienkiewicz O. C., Taylor R. L., The Finite Element Method, in 3 vols., v. 2, Solid Mechanics, 5th ed., Butterworth-Heinemann, Oxford, 2000, 459 pp.
43.	Lehoucq R. B., Sorensen D. C., “Deflation techniques for an implicitly restarted Arnoldi iteration”, SIAM Journal on Matrix Analysis and Applications, 17:4 (1996), 789–821
44.	Bochkarev S. A., Lekomtsev S. V., Matveenko V. P., Senin A. N., “Hydroelastic stability of partially filled coaxial cylindrical shells”, Acta Mechanica, 230:11 (2019), 3845–3860
45.	Xie X., Jin G., Li W., Liu Z., “A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures”, Composite Structures, 111 (2014), 20–30
46.	Qu Y. G., Long X. H., Wu S. H., Meng G., “A unified formulation for vibration analysis of composite laminated shells of revolution including shear deformation and rotary inertia”, Composite Structures, 98 (2013), 169–191
47.	Messina A., Soldatos K. P., “Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions”, Journal of Sound and Vibration, 27:4 (1999), 749–768
48.	Soldatos K. P., Messina A., “The influence of boundary conditions and transverse shear on the vibration of angle-ply laminated plates, circular cylinders and cylindrical panels”, Computer Methods in Applied Mechanics and Engineering, 190:18–19 (2001), 2385–2409