A modified variational approach for vibration analysis of ring-stiffened conical-cylindrical shell combinations

European Journal of Mechanics, A/Solids

Volumn 37, Issue , 2013, Pages 200-215

  Qu, Yegao ^a   Chen, Yong ^a   Long, Xinhua ^a   Hua, Hongxing ^a   Meng, Guang ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Conical cylindrical shell; Forced vibration; Free vibration; Modified variational principle; Ring stiffener; Structural damping

Indexed keywords

EID: 84864484143     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2012.06.006     Document Type: Article

References (29)

1. M. Amabili Shell-plate interaction in the free vibrations of circular cylindrical tanks partially filled with a liquid: the artificial spring method J. Sound Vib. 199 1997 431 452
2. A. Benjeddou Vibrations of complex shells of revolution using B-spline finite elements Comput. Struct. 74 2000 429 440
3. Caresta, M., 2009. Structural and Acoustic Response of a Submerged Vessel. Ph.D. thesis, University of New South Wales.
4. M. Caresta, and N.J. Kessissoglou Free vibrational characteristics of isotropic coupled cylindrical-conical shells J. Sound Vib. 329 2010 733 751
5. L. Cheng, and J. Nicolas Free vibration analysis of a cylindrical shell-circular plate system with general coupling and various boundary conditions J. Sound Vib. 155 1992 231 247
6. W.Z. Chien Method of high-order Lagrange multiplier and generalized variational principles of elasticity with more general forms of functional Appl. Math. Mech. 4 1983 143 157
7. H. Chung Free vibration analysis of circular cylindrical shells J. Sound Vib. 74 1981 331 350
8. E. Efraim, and M. Eisenberger Exact vibration frequencies of segmented axisymmetric shells Thin Walled Struct. 44 2006 281 289
9. A.A. EI Damatty, M.S. Saafan, and A.M.I. Sweedan Dynamic characteristics of combined conical-cylindrical shells Thin Walled Struct. 43 2005 1380 1397
10. P. Francesco Vibrations of circular cylindrical shells: theory and experiments J. Sound Vib. 303 2007 154 170
11. G.D. Galletly, and J. Mistry The free vibrations of cylindrical shells with various end closures Nucl. Eng. Des. 30 1974 249 268
12. W.C.L. Hu, and J.P. Raney Experimental and analytical study of vibrations of joined shells AIAA J. 5 1967 976 980
13. T. Irie, G. Yamada, and Y. Muramoto Free vibration of joined conical-cylindrical shells J. Sound Vib. 95 1984 31 39
14. Y.S. Lee, M.S. Yang, H.S. Kim, and J.H. Kim A study on the free vibration of the joined cylindrical-spherical shell structures Comput. Struct. 80 2002 2405 2414
15. A.W. Leissa Vibration of Shells (NASA SP-288) 1973 U.S. Government Printing Office Washington, DC
16. S. Markuš The Mechanics of Vibrations of Cylindrical Shells 1988 Elsevier Amsterdam
17. J. Missaoui, and L. Cheng Vibroacoustic analysis of a finite cylindrical shell with internal floor partition J. Sound Vib. 226 1999 101 123
18. L.E. Monterrubio Free vibration of shallow shells using the Rayleigh-Ritz method and penalty parameters Proc. Inst. Mech. Eng. Part C, J. Eng. Mech. Eng. Sci. 223 2009 2263 2272
19. B.A.J. Mustafa, and R. Ali An energy method for free vibration analysis of stiffened circular cylindrical shells Comput. Struct. 32 1989 355 363
20. B.P. Patel, M. Ganapathi, and S. Kamat Free vibration characteristics of laminated composite joined conical-cylindrical shells J. Sound Vib. 237 2000 920 930
21. M.R. Peterson, and D.E. Boyd Free vibrations of circular cylinders with longitudinal, interior partitions J. Sound Vib. 60 1978 45 62
22. M.S. Qatu Recent research advances in the dynamic behavior of shells: 1989-2000, part 1: laminated composite shells Appl. Mech. Rev. 55 2002 325 350
23. M.S. Qatu Recent research advances in the dynamic behavior of shells: 1989-2000, part 2: homogeneous shells Appl. Mech. Rev. 55 2002 415 434
24. M.S. Qatu, R.W. Sullivan, and W.C. Wang Recent research advances on the dynamic analysis of composite shells: 2000-2009 Compos. Struct. 93 2010 14 31
25. C.B. Sharma, and D.J. Johns Vibration characteristics of a clamped-free and clamped-ring-stiffened circular cylindrical shell J. Sound Vib. 14 1971 459 474
26. K.R. Sivadas, and N. Ganesan Free vibration analysis of combined and stiffened shells Comput. Struct. 46 1993 537 546
27. C.M. Wang, S. Swaddiwudhipong, and J. Tian Ritz method for vibration analysis of cylindrical shells with ring stiffeners J. Eng. Mech., ASCE 123 1997 134 142
28. K. Washizu Variational Methods in Elasticity and Plasticity second ed. 1975 Pergamon Press New York
29. D. Zhou, Y.K. Cheung, S.H. Lo, and F.T.K. Au 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method Comput. Meth. Appl. Mech. Eng. 192 2003 1575 1589