J. S. Srikantamurthy This email address is being protected from spambots. You need JavaScript enabled to view it.1, Anandkumar R. Annigeri1, and Raghavendra B. V.1

1Department of Mechanical Engineering, Faculty of Mechanical Engineering, JSS Academy of Technical Education, Bangalore, 560060, India, Affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India 


 

Received: March 16, 2020
Accepted: June 20, 2020
Publication Date: December 1, 2020

Download Citation: ||https://doi.org/10.6180/jase.2020_23(4).0011  


ABSTRACT


A finite element method is used to analyse the free vibrations of MEE truncated conical shell. Three Boundary Conditions- Clamped-Free (C-F), Simply-Supported (S-S), Clamped-Clamped (C-C) are considered to study the behaviour of magneto-electro-elastic truncated conical shell with constant thickness. The study is made to identify the effect of magnetic and electric coupling on the frequencies of conical shell. Frequency characteristics on conical shells are discussed by varying the semi vertex angles 20o, 35o and 50o. The magneto-electro-elastic truncated conical shells behaviour indicates that as frequency increases with increase in circumferential mode.


Keywords: Magneto-Electro-Elastic (MEE); conical shell; free vibration; axisymmetric finite element; Smart Composites


REFERENCES


 

  1. [1] T. Irie, G.Yamada and Y.Kaneko (1984) “Natural frequencies of Truncated conical shells” Journal of Sound and Vibration 92(3), 447- 453
  2. [2] David P. Thambiratnam and V. Thevendran  (1988) “Optimum design of conical shells For Free Vibration” Computers & Structures Vol. 29, No.1. pp. 133-W
  3. [3] David P.Thambiratnam and Yan Zhuge (1991) “Axisymmetric free vibration analysis of conical shells” Engineering Structure. Vol. 15, No.2, 
  4. [4] K. Y. Lam andLI Hua (1997) “vibration analysis of a rotating truncated circular conical shell” International Journal Solids Structures Vol. 34, No. 17, pp. 2183-2197,
  5. [5] K.M. Liew, T.Y. Ng, and X. Zhao (2005)  “Free vibration analysis of conical shells via the element-free kp-Ritz method” Journal of Sound and Vibration 281, 627–645,
  6. [6] A.R. Annigeri, N. Ganesan, S. Swarnamani (2006) “Free vibrations of clamped- clamped magneto-electro-elastic cylindrical shells” Journal of Sound and Vibration 292, 300–314,
  7. [7] Francesco Tornabene, Erasmo Viola, and Daniel J. Inman (2009)  “Differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures” Journal of Sound and Vibration 328, 259–290
  8. [8]R. D. Firouz-Abadi, M. Rahmanian and M. Amabili  (2014) “Free vibration of moderate     thick   conical Shells    using a higher order shear deformable theory” Journal of  Vibration and Acoustics Vol. 136 / 051001-1
  9. [9] Guoyong Jin, Xianglong Ma, Shuangxia Shi, Tiangui Ye, and Zhigang Liu (2014) “A modified fourier series solution for vibration analysis of truncated conical shells with general boundary conditions” Applied Acoustics 85, 82–96
  10. [10] M.Nejati, A.Asanjarani, R.Dimitri, and F.Tornabene (2017) “Static and free vibration analysis of functionally graded conical shells reinforced by carbon nanotubes” International Journal of Mechanical Sciences 130383–398,
  11. [11] B. Chandra Mouli, V. R. Kar, K. Ramji, and M. Rajesh (2018)  “Free vibration of functionally graded conical shell” Materials Today: Proceedings 5, 14302–14308,
  12. [12] Chuang Wu and Fuzhen Pang (2018) “Free vibration characteristics of the Conical Shells Based on Precise Integration Transfer Matrix Method” Latin American Journal of Solids and Structures, 15(1),
  13. [13] SairaJaved (2018) “Free vibration characteristic of laminated conical shells based on higher order shear deformation theory” Composite Structures 204, 80–87. 
  14. [14] Zhiyong Song, QingjieCao, and Qiyi Dai (2019) “Free vibration of truncated conical shells with elastic boundary constraints and added mass” International Journal of Mechanical Sciences 155, 286–294,
  15. [15] Vinyas M, Sandeep AS, Ebrahimi F (2019) “A finite element-based assessment of free vibration behaviour of circular andannular magneto-electro-elastic plates using higher order shear deformation theory”. Journal Intelligent Material System Structure 30:2478–2501
  16. [16] Vinyas M, Sunny KK, Harursampath D, Nguyen-Thoi T, Loja MAR (2019) “Influence of interphase on the multi-physics coupled frequency of three-phase smart magneto-electro-elastic composite plates”. Composite Structures 226:111254
  17. [17] M Vinyas (2020) “Computational Analysis of Smart Magneto-Electro-Elastic Materials and Structures: Review and Classification”. Archives of Computational Methods in Engineering. Vol.27, Issue 2, April 2020.
  18. [18] Arthur W.Leissa (1973) “Vibration of shell” NASA (National Aeronautics and Space Administration).
  19. [19] Hua Li (2005) “Rotating Shell Dynamics” Applied Mechanics.