Non-linear vibrations of shell-type structures: A review with bibliography

Journal of Sound and Vibration

Volumn 255, Issue 1, 2003, Pages 161-184

  Moussaoui, F ^a   Benamar, R ^b  

^a MOULAY ISMAIL UNIVERSITY   (Morocco)

^b MOHAMMED V UNIVERSITY   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; SHEAR DEFORMATION; SHELLS (STRUCTURES); TORSIONAL STRESS;

NON-LINEAR VIBRATIONS; SHELL-TYPE STRUCTURES;

VIBRATIONS (MECHANICAL);

EID: 0037411923     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4146     Document Type: Article

References (175)

1. C. T. F. Ross 1975 International Journal for Numerical Methods in Engineering 9, 833-845. Finite elements for the vibration of cones and cylinders.
2. K. M. Liew, C. W. Lim and L. S. Ong 1994 International Journal of Mechanical Sciences 36, 547-545. Flexural vibration of doubly-tapered cylindrical shallow shells.
3. M. M. Mikulas Jr and J. A. McElman 1965 NASA TN D-3010. On free vibrations of eccentrically stiffened cylindrical shells and flat plates.
4. A. J. Stanley and N. Ganesan 1997 Computers and Structures 65, 33-45. Free vibration characteristics of stiffened cylindrical shells.
5. D. A. Evensen 1974 in Thin Walled Structures: Theory, Experiment and Design (Y. C. Fung and E. E. Sechler, editors), 133-155. Englewood Cliffs, NJ: Prentice-Hall. Non-linear vibrations of circular cylindrical shells.
6. A. W. Leissa 1973 NASA SP-288, Vibration of Shells. Reprinted 1993, by the Acoustical Society of America.
7. M. Sathyamoorthy and K. A. V. Pandalai 1972 Journal of the Aeronautical Society of India 24, 409-414. Large amplitude vibrations of certain deformable bodies. Part I: disc, membranes and rings.
8. M. Sathyamoorthy and K. A. V. Pandalai 1973 Journal of the Aeronautical Society of India 25, 1-10. Large amplitude vibrations of certain deformable bodies. Part II: plates and shells.
9. A. W. Leissa 1984 Proceedings of the Second International Conference on Recent Advances in Structure Dynamics, 262-272. Non-linear analysis of plates and shell vibrations.
10. M. S. Qatu 1992 Shock Vibration Digest 24, 3-15. Review of shallow shell vibration research.
11. K. M. Liew, C. W. Lim and S. Kitipornchai, 1997 Applied Mechanics Reviews 50, 431-444. Vibration of shallow shells: a review with bibliography.
12. M. Amabili, F. Pellicano and M. P. Païdoussis 1999 Journal of Sound and Vibration 225, 655-699. Non-linear dynamic and stability of circular cylindrical shells containing flowing fluid. Part I: stability.
13. M. Amabili, F. Pellicano and M. P. Païdoussis 1999 Journal of Sound and Vibration 228, 1103-1123. Non-linear dynamic and stability of circular cylindrical shells containing flowing fluid. Part II: large-amplitude vibration without flow.
14. M. Amabili, F. Pellicano and M. P. Païdoussis 1998 Journal of Fluids and Structures 12, 883-918. Non-linear vibrations of simply supported circular cylindrical shells coupled to quiescent fluid.
15. M. Amabili, F. Pellicano and M. P. Païdoussis 1998 Journal of Fluids and Structures 13, 785-788. Addendum to "Non-linear vibrations of simply supported circular cylindrical shells coupled to quiescent fluid".
16. M. Sathyamoorthy and K. A. V. Pandalai 1983 Shock Vibration Digest 15, 3-16. Non-linear vibrations of plates-a review.
17. K. M. Liew, Y. Xiang and S. Kitipornchai 1995 Journal of Sound and Vibration 180, 163-176. Research on thick plate vibration: a literature survey.
18. L. Azrar 1999 Ph.D. Thesis, Ecole Mohammadia d'Ingénieurs Rabat, Morocco. Semi-analytical and Asymptotic-numerical Methods for Non-linear Vibrations. Applications to large amplitude vibrations of beams and plates.
19. M. M. K. Bennouna 1982 Ph.D. Thesis, University of Southampton, England. Non-linear Dynamic Behaviour of a Clamped-clamped Beam with Consideration of Fatigue Life.
20. R. G. White 1971 Journal of Sound and Vibration 16, 255-267 Effects of non-linearity due to large deflections in the resonance testing of structures.
21. M. M. Bennouna and R. G. White 1984 Journal of Sound and Vibration 96, 309-331. The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam.
22. R. Benamar 1990 Ph.D. Thesis, University of Southampton, England. Non-linear Dynamic Behaviour of Fully Clamped Beams and Rectangular Isotropic and Laminated Plates.
23. R. Benamar, M. M. K. Bennouna and R. G. White 1991 Journal of Sound and Vibration 149, 179-195. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures. Part I: simply supported and clamped-clamped beams.
24. R. Benamar, M. M. K. Bennouna and R. G. White 1993 Journal of Sound and Vibration 164, 295-316. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures. Part II: fully clamped rectangular isotropic plates.
25. J. C. Chen and C. D. Babcock 1975 American Institute of Aeronautics and Astronautics Journal 13, 868-876. Non-linear vibration of cylindrical shells.
26. J. M. T. Thomson and S. R. Bishop 1994 Non-linearity and Chaos in Engineering Dynamics. Centre for Non-linear Dynamics, University College London, U.K: John Wiley & Sons.
27. A. H. Nayfeh and D. T. Mook 1979 Non-linear Oscillations. New York: John Wiley & Sons.
28. R. Benamar, M. M. K. Bennouna and R. G. White 1994 Journal of Sound and Vibration 175, 377-395. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures. Part III: fully clamped rectangular isotropic plates-measurements of the mode shape amplitude dependence and the spatial distribution of harmonic distortion.
29. M. Amabili, F. Pellicano and M. P. Païdoussis 2000 Journal of Sound and Vibration 237, 617-640. Non-linear dynamic and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments.
30. M. Amabili, F. Pellicano and M. P. Païdoussis 2000 Journal of Sound and Vibration 237, 617-640. Non-linear dynamic and stability of circular cylindrical shells containing flowing fluid. Part IV: large-amplitude vibration with flow.
31. H. F. Wolfe 1995, Ph.D. Thesis. University of Southampton, England. An Experimental Investigation of Non-linear Behaviour of Beams and Plate Excited to High Levels of Dynamics Response.
32. B. L. Clarkson 1994 N ASA Contractor Report 4587, Langley Research Centre, Hampton VA. Review of sonic technology.
33. R. G. White 1990 Composite Structures 16, 171-192. Developments in the acoustic fatigue design process for composite aircraft structures.
34. R. A. Ibrahim, A. A. Afaneh and B. H. Lee 1993 Journal of Vibration and Acoustics 115, 182-201. Structural modal multifurcation with internal resonance. I-Deterministic approach. II-Stochastic approach.
35. V. I. Arnold 1978 Mathematical Methods of Classical Mechanics. New York: Springer-Verlag.
36. B. V. Chiricov 1979 Physics Reports 52, 263-379. A universal instability of many-dimensional oscillator systems.
37. M. Amabili, F. Pellicano and A. F. Vakakis 2000 Journal of Vibration and Acoustics 122, 346-354. Non-linear vibrations and multiple resonances of fluid-filled, circular shells. Part I: equations of motion and numerical results.
38. M. Amabili, F. Pellicano and A. F. Vakakis 2000 Journal of Vibration and Acoustics 122, 355-364. Non-linear vibrations and multiple resonances of fluid-filled, circular shells. Part 2: perturbation analysis.
39. W. Han and M. Petyt 1997 Computers and Structures 63, 295-308. Geometrical non-linear vibration analysis of thin, rectangular plates using the hierarchical finite element method-I: the fundamental mode of isotropic plates.
40. F. Moussaoui and R. Benamar 1998 Second International Conference on Applied Mathematics and Engineering Sciences. The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells, coupled transverse-circumferential mode shapes of an isotropic circular cylindrical shells.
41. F. Moussaoui, R. Benamar and R. G. White 2000 Journal of Sound and Vibration 232, 917-943. The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part I: coupled transverse-circumferential mode shapes of isotropic circular cylindrical shells of infinite length.
42. R. Benamar 1986 Mémoire de Certificat Préparatoir à la Recherche. Comportement dynamique nonlinéaire des plaques minces rectangulaires encastrées aux grandes amplitudes. Ecole Mohammadia d'Ingénieurs, Rabat: Morocco.
43. R. G. White 1990 Composite Structures 16, 171-192. Developments in the acoustic fatigue design process for composite aircraft structures.
44. C. Mei and C. B. Prasad 1987 Journal of Applied Mechanics 117, 173-186. Effects of non-linear damping on random response of beams to acoustic loading.
45. 2 tank. Part II-behaviour under 3g end-of-flight loads.
46. F. Moussaoui and R. Benamar 1998 6ème Colloque Maghrébin sur les Modèle Numériques de l'Ingénieur. The effect of large vibration amplitudes on the mode shapes and natural frequencies of an isotropic elastic circular cylindrical shells of infinite length.
47. F. Moussaoui, R. Benamar and R. G. White 2002 Journal of Sound and Vibration, to appear. The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part II: a new approach for free transverse vibration of cylindrical shells of infinite length, and of finite length considered at large circumferential wave number.
48. H. N. Chu 1961 Journal of Aerospace Sciences 28, 602-609. Influence of large amplitudes on flexural vibrations of thin circular cylindrical shells.
49. W. Szemplinska-Stupnicka 1983 International Journal of Non-linear Mechanics 18. 149-165. Non-linear normal modes and the generalized Ritz method in the problems of vibrations of non-linear elastic continuous systems.
50. R. M. Rosenberg 1962 Journal of Applied Mechanics 29, 7-14. The normal modes of non-linear n-degree-of-freedom systems.
51. S. W. Shaw and C. Pierre, 1993 Journal of Sound and Vibration 164, 85-124. Normal modes for non-linear vibratory systems.
52. S. W. Shaw and C. Pierre 1993 Journal of Sound and Vibration 169, 319-347. Normal modes for non-linear continuous systems.
53. A. F. Vakakis 1997 Mechanical Systems and Signal Processing 11, 3-22. Nonlinear normal modes (NNMs) and their applications in vibration theory: a overview.
54. S. Bellizzi, P. Guillemain and R. Kronland-Martinet 2001 Journal of Sound and Vibration 243, 191-213. Identification of coupled non-linear modes from free vibration using time-frequency representations.
55. A. H. Nayfeh and S. A. Nayfeh 1994 Journal of Vibration and Acoustics 116, 129-136. On non-linear modes of continuous systems.
56. M. El Kadiri, B. Benamar and R. G. White 2002 Journal of Sound and Vibration 249, 263-305. Improvement of the semi-analytical method, for determining the geometrically non-linear response of thin straight structures. Part I: application to C-C and SS-C beams.
57. R. D. Blevins 1984 Formulas for Natural Frequency and Mode Shapes. Florida: Krieger Publishing Company
58. A. W. Leissa 1980 Shock and Vibration Bulletin 50, 1-9. The relative complexities of plate and shell vibrations.
59. L. H. Donnell 1938 Proceedings of the Fifth International Congress on Applied Mechanics. A discussion of thin shell theory.
60. K. M. Mushtari 1938 Izv. Fiz. Mat. Ob-va. Pri Kaz. Un-te. 11, 8. Certain generalisations of the theory of thin shells (in Russian).
61. A. E. H. Love 1888 Philosophical Transactions of the Royal Society (London), Series A 179, 491-549. The small free vibrations and deformations of a thin elastic shell.
62. S. Timoshenko 1959 Theory of Plates and Shells. New York: McGraw-Hill.
63. E. Reissner 1941 American Journal of Mathematics 63, 177-184. A new derivation of theb equations of the deformation of elastic shells.
64. P. M. Naghdi and J. G. Berry 1964 Journal of Applied Mechanics 21, 160-166. On the equations of motion of cylindrical shell.
65. V. Z. Vlasov 1964 NASA TTF-99. General theory of shells and its application in engineering (English translation).
66. J. L. Sanders 1959 NASA TR-R24. An improved first approximation theory for thin shells.
67. R. Byrne 1944 Seminar Reports in Mathematics, University of California Publications in Mathematics, N.S 2, 103-152. Theory of small deformations of a thin elastic shell.
68. W. Flügge 1934 Statik und Dynamic der Schalen. Berlin: Julius Springer.
69. A. L. Goldenveizer 1968 Applied Mathematics and Mechanics 32. 704-718. Method for justifying and refining the theory of shells.
70. A. I. Lurye 1940 Prikladnaya Matematika Mekhanika 4, 7-34. General theory of elastic shells.
71. V. V. Novozhilov 1964 P. Noordhoff Lts. Groningen, The Netherlands. The theory of thin elastic shells.
72. B. E. Cummings 1962 Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, SM 62-32 (AFOSR 3123). Some non-linear vibration and response problems of cylindrical panels and shells.
73. J. Nowinski 1963 American Institute of Aeronautics and Astronautics 1, 617-620. Non-linear transverse vibrations of orthotropic cylindrical shells.
74. D. A. Evensen and R. E. Fulton 1966 Proceedings of an International Conference on Dynamic Stability of Structures, Evanston, IL 237-254. Oxford & New York: Pergamon Press. Some studies on the non-linear dynamic response of shell-type structures.
75. J. Mayers and B. G. Wrenn 1966 SUDAAR. Vol. 269, Department of Aeronautics and Astronautics, Stanford University. On the non-linear vibrations of thin circular cylindrical shells.
76. D. A. Evensen 1968 American Institute of Aeronautics and Astronautics Journal 6, 1401-1403. Non-linear vibrations of an infinitely long cylindrical shell.
77. S. Atluri 1972 International Journal of Solids and Structures 8, 549-569. A perturbation analysis of non-linear free flexural vibrations of a circular cylindrical shell.
78. E. H. Dowell and C. S. Ventres 1968 International Journal of Solids and Structures 4, 975-991. Modal equations for the non-linear flexural vibrations of a cylindrical shell.
79. H. Radewan and J. Genin 1975 International Journal of Non-linear Mechanics 10, 15-29. Non-linear modal equations for thin elastic shells.
80. K. Kanaka Raju and G. Venkateswara Rao 1976 Journal of Sound and Vibration 44, 327-333. Large amplitude asymmetric vibrations of some thin shells of revolution.
81. T. K. Varadan, G. Prathap and H. V. Ramani 1989 American Institute of Aeronautics and Astronautics Journal 27, 1303-1304. Non-linear free flexural vibration of thin circular cylindrical shells.
82. M. Ganapathi and T. K. Varadan 1996 Journal of Sound and Vibration 192, 1-14. Large amplitude vibrations of circular cylindrical shells.
83. A. Selmane and A. A. Lakis 1997 International Journal for Numerical Methods in Engineering 40, 1115-1137. Influence of geometric non-linearities on free vibrations of orthotropic open cylindrical shells.
84. M. D. Olson 1965 American Institute of Aeronautics and Astronautics 3, 1775-1777. Some experimental observations on the non-linear vibration of cylindrical shells.
85. Y. Matsuzaki and S. Kobayashi 1970 Transaction of the Japan Society for Aeronautics Journal 12, 55-62. A theoretical and experimental study of the non-linear flexural vibration of thin circular cylindrical shells with clamped ends.
86. J. H. Ginsberg 1972 American Institute of Aeronautics and Astronautics Journal 10, 979-980 Non-linear resonant vibrations of infinitely long cylindrical shells.
87. J. H. Ginsberg 1973 Journal of Applied Mechanics 40, 471-477. Large amplitude forced vibrations of simply supported thin cylindrical shells.
88. T. Ueda 1979 Journal of Sound and Vibration 64, 85-95. Non-linear free vibrations of conical shells.
89. Y. Kobayashi and A. W. Leissa 1995 International Journal of Non-linear Mechanics 30, 57-66. Large amplitude free vibration of thick shallow shells supported by shear diaphragms.
90. A. W. Leissa and A. S. Kadi 1971 Journal of Sound and Vibration 16, 173-187. Curvature effects on shallow shell vibrations.
91. E. Reissner 1955 Ramo-Wooldridge Corporation Report Am5-6. Non-linear effects in vibrations of cylindrical shells.
92. F. Moussaoui, R. Benamar and R. G. White 2001 Journal of Sound and Vibration 243, 184-189. Authors' reply.
93. D. A. Evensen 1963 American Institute of Aeronautics and Astronautics Journal 1, 2857-2858. Some observations on the non-linear vibration of thin cylindrical shells.
94. D. A. Evensen 1966 Journal of Applied Mechanics 33, 553-560. Non-linear flexural vibrations of thin circular rings.
95. D. A. Evensen 1967 NASA TN D-4090. Non-linear flexural vibrations of thin-walled circular cylinders.
96. A. S. Volmir 1973 Izvestiya Akademii Nauk Armyanskoi SSR, Seriya Mekhanika (Armenian SSR) 26, 44-49 (translated into English).
97. H. R. Radwan and J. Genin 1976 Journal of Applied Mechanics 43, 370-372. Non-linear vibrations of thin cylinders.
98. M. Kozarov and K. Mladenov 1979 Akademiia Nauk SSSR, Izvestiia, Mekhanika Tverdogo Tela, 144-151. Non-linear vibrations of elliptic cylindrical shells.
99. A. E. Bogdanovich and E. G. Feldmane 1979 Akademiia Nauk SSSR, Izvestiia, Mekhanika Tverdogo Tela, 171-177. Calculation of non-linear parametric vibrations of cylindrical shells.
100. B. Victor and T. Pongsan 1988 Zeitschift fuer angewandte Mathematik und Physik 39, 768-775. Free non-linear vibrations of statically loaded long cylindrical shells.
101. J. Ramachandran 1990 Aeronautical Society of India Journal 42, 271-277. Non-linear vibrations of helicoidal shells.
102. I. V. Andrianov and E. G. Kholod 1993 Journal of Sound and Vibration 165, 9-17. Non-linear free vibration of shallow cylindrical shell by Bolotin's asymptotic method.
103. G. Flores Fermando and A. Luis Godoy 1999 Journal of Sound and Vibration 224, 431-454. Forced vibrations of silos leading to buckling.
104. A. A. Popov, J. M. T. Thompson and F. A. McRobiee 1998 Journal of Sound and Vibration 209, 163-186. Low dimensional models of shell vibrations. Parametrically exited vibrations of cylinder shells.
105. F. A. McRobie, A. A. Popov and J. M. T. Thompson 1999 Journal of Sound and Vibration 227, 65-84. Auto-parametric resonance in cylindrical shells using geometric averaging.
106. T. D. Chinh 2000 International Journal of Mechanical Sciences 42, 1971-1982. Dynamics of shallow shells taking into account physical non-linearities.
107. Y. M. Fu and C. P. Chen 2001 International Journal of Non-linear Mechanics 36, 763-771. Non-linear vibration of elastic truncated conical moderately thick shells in large overall motion.
108. I. G. Kildiberkov 1977 Prikladnaia Mekhanika 13, 46-52. Investigation of the non-linear natural vibrations of a cylindrical shell.
109. V. D. Kubenko, P. S. Kovalchuk and T. S. Krasnopolskaia 1982 Prikladnaia Mekhanika 18, 43-49. The effect of initial camber on the non-linear natural vibrations of cylindrical shells.
110. D. K. Liu and J. Arbocz 1989 Proceedings of European Forum on Aeroelasticity and Structural Dynamics, Aachen, Germany, 489-499. Influence of different boundary conditions on the non-linear vibration of imperfect thin-walled cylindrical shells.
111. S. F. Rezeka and A. A. Helmy 1989 Proceedings of the 12th Biennial ASME Conference on Mechanical Vibration and Noise, Montreal, Canada, 137-144. Vibrations of thin isotropic truncated conical shells with geometric imperfections.
112. V. B. Kovtunov 1993 Computers and Structures 46, 149-156. Dynamic stability and non-linear parametric vibration of cylindrical shells.
113. K. R. Sivadas 1995 Journal of Sound and Vibration 186, 99-109. Vibration analysis of pre-stressed rotating thick circular conical shell.
114. J. H. Starnes and C. A. Rose 1998 NASA Stability Analysis of Plates and Shells CP-206280, 197-207. Non-linear response of thin cylinder shells with longitudinal cracks and subject to internal pressure and axial compression loads.
115. J. H. Kang and A. W. Leissa 2000 International Journal of Solids and Structure 37, 4811-4823. Three-dimensional vibrations of thick spherical shell segments with variable thickness.
116. M. Amabili and F. Pellicano 2001 American Institute of Aeronautics and Astronautics Journal 39, 564-573. Non-linear supersonic flutter of circular cylindrical shells.
117. Kh. P. Kulterbaev 1978 Prikladnaia Mekhanika 14, 46-51. Random parametric vibrations of shallow cylindrical shells.
118. J. Ramachandran and P. A. K. Murthy 1976 Journal of Sound and Vibration 47, 495-500. Non-linear vibrations of a shallow cylindrical panel on elastic foundation.
119. S. L. Lau and Y. K. Cheung 1981 Journal of Applied Mechanics 48, 959-964. Amplitude incremental variational principle for non-linear vibration of elastic system.
120. Ia. M. Grigorenko, V. I. Guliaev, E. S. Dekhtiaruk and V. V. Chemlaev 1983 Akademiia Nauk SSSR, Izvestiia, Mekhanika Tverdogo Tela, November-December, 137-142. Stability of non-linear forced vibrations of shallow rectangular-planform cylindrical shells.
121. G. C. Sinhray and B. Banergee 1985 International Journal of Non-linear Mechanics 20, 69-78. Large amplitude free vibrations of shallow spherical shell and cylindrical shell-a new approach.
122. M. Sathyamoorthy 1994 Journal of Sound and Vibration 172, 63-70. Vibrations of moderately thick shallow spherical shells at large amplitudes.
123. I. Lasiecka and V. Valente 1996 Journal of Mathematical Analysis and Applications 202, 951-994. Uniform boundary stabilisation of a non-linear shallow and thin elastic spherical cap.
124. Z. M. Ye 1997 Journal of Sound and Vibration 202, 303-311. The non-linear vibration and dynamic instability of thin shallow shells.
125. T. Aida, T. Nakamoto and K. Kawazoe 1998 Journal of Sound and Vibration 218, 245-267. Vibration control of shallow shell structures using a shell-type dynamic vibration absorber.
126. A. A. Popov, J. M. T. Thomson and F. A. McRobie 1998 Journal of Sound and Vibration 209, 163-186. Low dimensional models of shell vibrations. Parametrically excited vibrations of cylindrical shells.
127. S. Faole, J. M. T. Thomson and F. A. McRobie 1998 Journal of Sound and Vibration 215, 527-545. Numerical dimension-reduction methods for non-linear shell vibrations.
128. X. X. Hu and T. Tsuiji 1999 Journal of Sound and Vibration 219, 63-88. Free vibration analysis of curved and twisted cylindrical thin panels.
129. H. Oevy 1975 Bukling of Shells; Meeting on Shell Buckling Braunschweig, 171-221. Orthotropic cylindrical shells in the practice of space technology.
130. C. W. Bert 1980 Proceedings of International Conference on Recent Advances in Structural Dynamics, Institute of Sound and Vibration Research, University of Southampton, 693-712. Vibration of composite structures.
131. K. A. V. Pandalai and M. Sathyamoorthy 1970 Studies in Structural Mechanics (K. A. V. Pandalai, editor), 47-74. Non-linear flexural vibrations of orthotropic oval cylindrical shells.
132. E. N. Kvasha 1970 All-Union Conference on the Theory of Shells and Plates, Dnepropetrovsk, Ukranian, 281-284. Vibrations of three-layer plates and shells made from physically non-linear materials.
133. A. S. Volmir and A. T. Ponomarev 1973 Mekhanika Polimerov May-June, 531-539. Non-linear parametric vibrations of shells prepared from composite materials.
134. B. R. El-Zaouk and C. L. Dym 1973 Journal of Sound and Vibration 31, 89-103. Non-linear vibrations of orthotropic doubly-curved shallow shells.
135. E. G. Goloskokov and V. V. Dmitrenko 1976 Dinamika i Prochnost' Mashin 24, 3-7. Non-linear vibrations of three-layer shallow shells. Russian, 3-7 NASA.
136. A. E. Bogdanovich and E. G. Feldman 1980 Soviet Applied Mechanics 16, 305-309. Non-linear parametric vibrations of viscoelastic orthotropic cylindrical shells.
137. W. C. Chao and J. N. Reddy 1984 International Journal for Numerical Methods in Engineering 20, 1991-2007. Analysis of laminated composite shells using a degenerate 3-D element.
138. Z. Chengti and Z. Chienbin 1985 Proceeding of International Conference on Non-linear Mechanics, Shanghai, People's Republic of China, 422-427. Transverse shear effect on the analysis of non-linear instability of composite cylindrical shells.
139. J. N. Reddy and K. Chandrashekhara 1985 International Journal of Non-linear Mechanics 20, 79-90. Geometrically non-linear transient analysis of laminated, doubly-curved shells.
140. C. Y. Chia 1987 International Journal of Engineering Science 25, 427-441. Non-linear vibration and post-buckling of unsymmetrically laminated imperfect shallow cylindrical panels with mixed boundary conditions resting on elastic foundation.
141. V. P. Iu and C. Y. Chia 1988 International Journal of Solids and Structures 24, 195-210. Non-linear vibration and postbukling of unsymmetric cross-ply circular cylindrical shells.
142. J. R. Vinson 1989 Proceedings of the Fourth International Conference on Composite Materials, Washington, DC, 390-398. Non-linear vibrations of circular cylindrical shells composed of composites materials.
143. Y. M. Fu and C. Y. Chia 1989 International Journal of Non-linear Mechanics 24, 365-381. Multi-mode non-linear vibration and post-buckling of anti-symmetric imperfect angle-ply cylindrical thick panels.
144. Y. M. Fu and C. Y. Chia 1993 International Journal of Non-linear Mechanics 28, 313-327. Non-linear vibration and post-buckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions.
145. B. Rasajit Kumar 1990 Australian Mathematical Society Journal, Series B-Applied Mathematics 31, 330-346. Non-linear oscillation and buckling of anisotropic cylindrical shells under large initial stresses.
146. R. A. Raouf and A. N Palazotto 1991 Composite Structures 18, 163-192. Non-linear dynamic response of anisotropic, arbitrarily laminated shell panels: an asymptotic analysis.
147. R. A. Raouf and A. N. Palazotto 1992 Composite Structures 20, 249-257. Non-linear free vibrations of symmetrically laminated, slightly compressible cylindrical shell panels.
148. R. K. Kapania and C. Byum 1992 International Journal of Non-linear Mechanics 27, 51-62. Vibrations of imperfect laminated panels under complex preloads.
149. L. Dong 1992 Applied Mathematics and Mechanics 13, 331-344. Non-linear vibrations of orthotropic shallow shells of revolution.
150. M. Sathyamoorthy 1995 Computers and Structures 57, 59-65. Non-linear vibrations of moderately thick orthotropic shallow spherical shells.
151. I. A. Andrianov, E. G. Kholod and V. I. Olevsky 1996 Journal of Sound and Vibration 194, 369-387. Approximate non-linear boundary value problems of reinforced shell dynamics.
152. A. Abe, Y. Kobayashi and G. Yamada 2000 Journal of Sound and Vibration 234, 405-426. Non-linear vibration characteristics of clamped laminated shallow shells.
153. E. I. Obraztsova 1976 Aviatsionaia Tekhnika 19, 87-93. Non-linear parametric oscillations of a cylindrical shell filled with fluid, in response to longitudinal excitation.
154. E. I. Obraztsova 1977 Akademiia Nauk SSSR, Mekhanica Tverdoro Tela, 171-175. Non-linear axisymmetric vibrations of a shallow spherical containing liquid.
155. V. D. Kobenko, P. S. Kovalchuk and T. S. Krasnopolskaia 1984 Non-linear Interaction of the Flexural Modes of Cylindrical Shells, 220. Kiev: Naukova Dumka.
156. L. G. Boiarshina 1984 Prikladnaia Mekhanika 20, 99-104. Response phenomena during non-linear vibrations of cylindrical shells with fluid.
157. V. S. Pavlovskii and V. G. Filin 1985 Prikladnaia Mekhanika 21, 46-56. Non-linear parametric vibrations of liquid-filled cylindrical shells with an initial imperfection.
158. P. B. Gonçalave and R. C. Batista 1988 Proceedings of International Conference on Advanced Dynamic, 705-713. Non-linear vibrations of fluid loaded cylindrical shells.
159. P. B. Gonçalave and R. C. Batista 1988 Journal of Sound and Vibration 127, 133-143. Non-linear vibration analysis of fluid-filled cylindrical shells.
160. A. Selmane and A. A. Lakis 1997 Journal of Sound and Vibration 202, 67-93. Non-linear dynamic analysis of orthotropic open cylindrical shells subjected to a flowing fluid.
161. M. D. Olson 1965 Guggenheim Aeronautical Laboratory, California Institute of Technology Structural Dynamics Rept. SM 65-7, Air Force Office of Scientific Research 65-0599. Supersonic flutter of circular cylindrical shells subjected to internal pressure and axial compression.
162. V. F. Sivak and A. I. Telalov 1991 Soviet Journal of Applied Mechanics 27, 484-488. Experimental investigation of vibrations of a cylindrical shell in contact with a liquid.
163. Y. M. Fu and C. Y. Chia 1993 International Journal of Non-linear Mechanics 28, 313-327. Non-linear vibration and post-buckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions.
164. L. Azrar, R. Benamar and R. G White 1999 Journal of Sound and Vibration 224, 183-207. A semi-analytical approach to non-linear dynamic response problem of S-S and C-C beams at large vibration amplitudes. Part I: general theory and application to the single mode approach to free and forced vibration analysis.
165. K. Kanaka Raju and G. Venkateswara Rao 1976 Journal of Sound and Vibration 44, 227-333. Large amplitude asymmetric vibrations of some thin shells of revolution.
166. K. Kanaka Raju and G. Venkateswara Rao 1977 Journal of Sound and Vibration 52, 454-455. Author's reply.
167. D. A. Evensen 1977 Journal of Sound and Vibration 52, 453-454. Comment on "Large amplitude asymmetric vibrations of some thin shells of revolution".
168. G. Prathap 1978 Journal of Sound and Vibration 56, 303-305. Comment on "The large amplitude asymmetric vibrations of some thin shells of revolution".
169. D. A. Evensen 1978 Journal of Sound and Vibration 56, 305-308. Author's reply.
170. E. H. Dowell 1998 Journal of Fluids and Structures 12, 1087-1089. Comments on "The non-linear vibrations of cylindrical shells".
171. M. Amabili, F. Pellicano and M. P. Païdoussis 1999 Journal of Fluids and Structures 13, 159-160. Further comments on "The non-linear vibrations of cylindrical shells".
172. D. A. Evensen 1999 Journal of Fluids and Structures 13, 161-164. Non-linear vibrations of cylindrical shells-logical rationale.
173. M. Amabili, F. Pellicano and M. P. Païdoussis 2001 Journal of Sound and Vibration 243, 182-183. Comments on "The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells, Part I".
174. J. W. Tedesco, C. N. Kosten and A. Kalnins 1987 Computers and Structures 25, 677-685. Free vibration analysis of circular cylindrical shells.
175. C. T. F. Ross, T. Johns, S. P. Beeby and S. F. May 1994 Thin-Walled Structures 18, 177-190. Vibration of thin-walled ring-stiffened circular cylinders and cones.