Free vibration of layered truncated conical shell frusta of differently varying thickness by the method of collocation with cubic and quintic splines

International Journal of Solids and Structures

Volumn 42, Issue 3-4, 2005, Pages 1129-1150

  Viswanathan, K K ^a,b   Navaneethakrishnan, P V ^c  

^a Inha University   (South Korea)

^b ANNA UNIVERSITY   (India)

^c PRATHYUSHA ENGINEERING COLLEGE   (India)

Author keywords

Collocation; Conical shell; Cubic and quintic splines; Free vibration; Variable thickness

Indexed keywords

COLLOCATION; CONICAL SHELLS; CUBIC SPLINES; FREE VIBRATIONS; VARIABLE THICKNESS;

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; PARAMETER ESTIMATION; VECTORS; VIBRATIONS (MECHANICAL);

SHELLS (STRUCTURES);

EID: 11244258275     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.06.065     Document Type: Article

References (20)

1. Ambartsumyan, S.A., 1964. Theory of anisotropic shells, NASA TTF-118
2. C.W. Bert, and P.H. Francis Composite material mechanics: structural mechanics American Institute of Aeronautics and Astronautics Journal 12 9 1974 1173 1186
3. W.G. Bickley Piecewise cubic interpolation and two-point boundary problems Computer Journal 11 1968 206 208
4. C.H. Chang Vibration of Conical shells Shock and Vibration Digest 13 6 1981 9 17
5. L. Elishakoff, and Y Stavsky Asymmetric Vibration of polar orthotropic laminated annular plates AIAA Journal 17 1976 507 513
6. T. Irie, G. Yamada, and R. Kanda Free Vibration of rotating non-uniform discs: spline interpolation technique calculations Journal of Sound and Vibration 66 1 1979 13 23
7. T. Irie, and G. Yamada Analysis of free vibration of annular plate of variable thickness by use of a spline technique method Bulletin of JSME 23 176 1980 286 292
8. T. Irie, G. Yamada, and Y. Kaneko Free vibration of a Conical shell with variable thickness Journal of Sound and Vibration 82 1 1982 83 94
9. T. Irie, G. Yamada, and Y. Kaneko Natural frequencies of truncated conical shells Journal of Sound and Vibration 92 1984 447 453
10. P.V. Navaneethakrishnan Buckling of non-uniform plates: a spline method Journal of Engineering Mechanics Division, ASCE 114 5 1988 893 898
11. P.V. Navaneethakrishnan, K. Chandrasekaran, and N. Ravisrinivas Axisymmetric vibration of layered tapered plates Journal of Applied Mechanics 59 1992 1041 1043
12. Navaneethakrishnan, P.V., 1993. Vibration of layered shells and plates: a unified formulation and spline function study. In: Proceedings of the International Noise and Vibration Control Conference, NOISE-93, vol. 7, pp. 71-76
13. N. Sankaranarayanan, K. Chandrasekaran, and G. Ramaiyan Axisymmetric vibrations of laminated conical shells of variable thickness Journal of sound and vibrations 118 1 1987 151 161
14. N. Sankaranarayanan, K. Chandrasekaran, and G. Ramaiyan Free vibration of laminated conical shells of variable thickness Journal of Sound and Vibration 123 1988 357 371
15. C. Shu Free vibration analysis of composite laminated shells by generalized differential quadrature Journal of Sound and Vibration 194 4 1996 587 604
16. K.R. Sivadas, and N. Ganesan Vibration analysis of laminated conical shells with variable thickness Journal of Sound and Vibration 148 3 1991 477 491
17. S.R. Soni, and K. Sankara Rao Vibration of non-uniform rectangular plates: a spline technique method of solution Journal of Sound and Vibration 35 1 1974 35 45
18. K.K. Viswanathan, and P.V. Navaneethakrishnan Buckling of non-uniform plates on elastic foundation: spline method Journal of the Aeronautical Society of India 54 4 2002 366 373
19. K.K. Viswanathan, and P.V. Navaneethakrishnan Free vibration study of layered cylindrical shells by collocation with splines Journal of Sound and Vibration 260 2003 807 827
20. C.-P. Wu, and C.-H. Wu Asymptotic differential quadrature solutions for the free vibration of laminated conical shells Computation Mechanics 25 2000 346 357