Free vibration of laminated composite conical shells with random material properties

Composite Structures

Volumn 81, Issue 1, 2007, Pages 96-104

  Tripathi, Vivek ^a   Singh, B N ^b   Shukla, K K ^c  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

^c MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Composite; Conical shell; Free vibration; Random material properties; Second order statistics

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; LAMINATED COMPOSITES; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; RANDOM VARIABLES; SHEAR DEFORMATION; STATISTICS; VIBRATIONS (MECHANICAL);

RANDOM MATERIAL PROPERTIES; SECOND-ORDER STATISTICS; VIBRATION RESPONSE;

SHELLS (STRUCTURES);

COMPOSITE; DEFORMATION; FINITE ELEMENT ANALYSIS; LAMINATE; MATHEMATICAL MODEL; SHEAR PROPERTY; STRUCTURAL ANALYSIS; VIBRATION;

EID: 34250671106     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2006.08.002     Document Type: Article

References (26)

1. Moita J.S., Mota Soares C.M., and Mota Soares C.A. Buckling and dynamic behavior of laminated composite structures using a discrete higher order displacement model. Comput Struct 73 (1999) 407-423
2. Correia I.F.P., Barbosa J.I., Mota Soares C.M., and Mota Soares C.A. A finite element semi-analytical model for laminated axisymmetric shells: statics, dynamics and buckling. Comput Struct 76 (2000) 299-317
3. Correia I.F.P., Mota Soares C.M., Mota Soares C.A., and Hreskovits J. Analysis of laminated conical shell structures using higher order models. Compos Struct 62 (2003) 383-390
4. Tighe K.V., and Palazotto A.N. Higher order cylindrical panel relationships considering general Ply Layups. Compos Struct 27 (1994) 225-242
5. Palazotto AN, Dennis ST. Nonlinear analysis of shell structures. AIAA Education Series, Washington DC, 1992.
6. Nigam NC, Narayanan S. Applications of random vibrations. New Delhi: Narosa, 1994.
7. Ibrahim R.A. Structural dynamics with parameter uncertainties. Appl Mech Rev 40 3 (1987) 309-328
8. Manohar C.S., and Ibrahim R.A. Progress in structural dynamics with stochastic parameter variations: 1987-1998. Appl Mech Rev 52 (1999) 177-196
9. Leissa A.W., and Martin A.F. Vibration and buckling of rectangular composite plates with variable fiber spacing. Compos Struct 14 (1990) 339-357
10. Salim S, Yadav D, Iyengar NGR. Deflection of composite plates with random material characteristics. In: Proceedings of symposium on recent advances in aerospace science and engineering conference, vol. 1. Bangalore, New Delhi, 1992. p. 236-9.
11. Salim S., Yadav D., and Iyengar N.G.R. Analysis of composite plates with random material characteristics. Mech Res Com 20 5 (1993) 405-414
12. Salim S. Analysis of composite plates with randomness in material properties. Ph.D. Thesis, Department of Aerospace Engineering, IIT Kanpur, 1995.
13. Naveenthraj B., Yadav D., and Iyengar N.G.R. Response of composite plates with random material properties using FEM and MCS. Adv Compos Mater 7 (1998) 219-237
14. Yadav D., and Verma N. Free vibration of composite circular cylindrical Shells with random material properties. Part 1: General theory. Compos Struct 41 (1998) 331-338
15. Yadav D., and Verma N. Buckling of composite circular cylindrical shells with random material properties. Compos Struct 37 (1997) 385-391
16. Yadav D., and Verma N. Free vibration of composite circular cylindrical shells with random material properties. Part 2: Applications. Compos Struct 51 (2001) 371-380
17. Singh B.N., Yadav D., and Iyengar N.G.R. Free vibration of laminated spherical panels with random material properties. J Sound Vibr 244 2 (2001) 321-338
18. Singh B.N., Yadav D., and Iyengar N.G.R. Natural frequencies of composite plates with random material properties using higher order shear deformation theory. Int J Mech Sci 43 (2001) 2193-2214
19. Singh B.N., Yadav D., and Iyengar N.G.R. Initial buckling of cylindrical panels with random material properties. Compos Struct 53 (2001) 55-64
20. 0 finite element investigation for buckling of shear deformable laminated composite plates with random material properties. Struct Eng Mech 13 1 (2002) 53-74
21. Singh B.N., Yadav D., and Iyengar N.G.R. Stability analysis of laminated cylindrical panels with uncertain material properties. Compos Struct 54 (2001) 17-26
22. Onkar A.K., and Yadav D. Non-linear response statistics of composite laminates with random material properties under random loading. Compos Struct 60 (2003) 375-383
23. Onkar A.K., and Yadav D. Non-linear free vibration of laminated composite plate with random material properties. J Sound Vibr 272 (2004) 627-641
24. Franklin J.N. Matrix theory (1968), Prentice Hall, Englewood Cliffs, NJ
25. Zang Z., and Chen S. The standard deviations of the eigensolutions for random MDOF systems. Compos Struct 39 (1991) 603-607
26. Lin Y.K. Probabilistic theory of structural dynamics (1967), McGraw-Hill, New York