Journal of the Association of Engineers, India

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Free Vibration Analysis of Pre-Twisted Composite Sandwich Conical Shells Containing Debonding


Affiliations
1 Mechanical Engineering, Govt. College of Engineering and Textile Technology, Serampore, Hooghly 712201, India
2 Mechanical Engineering Department, Jadavpur University, Kolkata 700032, India
     

   Subscribe/Renew Journal


This article addresses the theoretical investigation of the free vibration behaviours of debonded sandwich conical shells employing finite element method (FEM). The finite element formulation is developed with the aid of the first-order shear deformation theory for both composite facings and core of the sandwich shell. The governing equation of dynamic equilibrium of the debonded sandwich conical shells is deduced by employing Lagrangian equation in which damping is ignored. Necessary compatibility and equlibrium conditions for deformations, forces and moments at the tip of the debonded region are assumed to be satisfied. The results obtained from the formulation are analyzed to depict the effects of stacking sequence and span-wise relative position of the debonding on the free vibration response of the pre-twisted sandwich panels.

Keywords

Sandwich, Conical Shell, Free Vibration, Finite Element Method.
User
Subscription Login to verify subscription
Notifications
Font Size

  • Ahmed, K.M., Static and dynamic analysis of sandwich structures by the method of finite elements, Journal of Sound and Vibration, Vol. 18, pp. 75-91, 1971.

  • Meunier, M. and Shenoi, R.A., Free vibration analysis of composite sandwich plates, Proc. Instn Mech Engrs PartC, Vol. 213, pp. 715-727, 1999.

  • Hwu, H., Hsu, H.W., and Lin, Y.H., Free vibration of composite sandwich plates and cylindrical shells, Composite Structures, Vol. 171, pp. 528-537, 2017.

  • Rahmani, O., Khalili, S.M.R., and Malekzadeh, K., Free vibration response of composite sandwich cylindrical shell with flexible core, Composite Structures, Vol. 92, pp. 1269-1281, 2010.

  • Wilkins, Jr. D.J., Bert, C.W., and Egle, D.M., Free vibrations of orthotropic sandwich conical shells with various boundary conditions, Journal of Sound and Vibration, Vol. 13, pp. 211-228, 1970.

  • Bardell, N. S., Langley, R. S., Dunsdon, J. M., and Aglietti, G. S., An h-p finite element vibration analysis of open conical sandwich panels and conical sandwich frusta, Journal of Sound and vibration, Vol. 226(2), pp. 345-377, 1999.

  • Nasihatgozar, M., and Khalili, S.M.R., Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method., Journal of Sandwich Structures and Materials, Vol.O(OO), pp. 1-36, 2017.

  • Liew, K.M., Lim, C.M., and Ong, L.S., Vibration of pretwisted cantilever shallow conical shells, International Journal of Solid Structure, Vol. 31, pp. 2463-2474, 1994.

  • Lim, C.W., Liew, K.M., Kitipornchai, S., Vibration of cantilevered laminated composite shallow conical shells, International Journal of Solid Structure, Vol. 35, No. 15, pp. 1695-1707, 1998.

  • Szekre'nyes, A., Analytical solution of some delamination scenarios in thick structural sandwich plates, Journal of Sandwich Structures and Materials, Vol. 0(00), pp.1-45, 2017.

  • Hu, J.S., and Hwu, C., Free vibration of delaminated composite sandwich beams., AIAA Journal, Vol. 33(10), pp. 1911-1918, 1995.

  • Schwarts-Givlil, H., Rabinovitch, O.Y., and Frostig, Y., Free vibrations of delaminated unidirectional sandwich panels with a transversely flexible core- A modified Galerkin approach, Journal of Sound and Vibration, Vol. 301, pp. 253277, 2007.

  • Gim, C.K., Plate finite element modeling of laminated plates, Computers and Structures, Vol. 52, pp. 157-168, 1994.

  • Karmakar, A., and Kishimoto, K., Free vibration analysis of delaminated composite pretwisted rotating shells- A finite element approach, JSME International Journal, Series A, Vol.49(4), pp.492-502, 2006.

  • Nanda, N., and Sahu, S.K., Free vibration analysis of delaminated composite shells using different shell theories, International Journal of Pressure Vessels and Piping, Vol.98, pp.111-118, 2012.

  • Kwon, Y.W., and Lannamann, D.L., Dynamic numerical modeling and simulation of interfacial cracks in sandwich structures for damage detection, Journal of Sandwich Structures and Materials, Vol. 4 (2), pp. 175-199, 2002.

  • Chakrabarti, A., and Sheikh, A.H., Vibration and buckling of sandwich laminates having interfacial imperfections, Journal of Sandwich Structures and Materials, Vol.11, pp. 313-328, 2009.

  • Singha, T.D., Rout, M., Bandyopadhyay, T., et al. Free vibration analysis of rotating pretwisted composite sandwich conical shells with multiple debonding in hygrothermal environment. Engineering Structure, Vol.204: 110058, 2020.

  • Burlayenko, V.N., and Sadowski, T., Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates, International Journal of Non-Linear Mechanics, Vol. 45, pp. 959-968, 2010.

  • Burlayenko, V.N., and Sadowski, T., Dynamic behaviour of sandwich plates containing single / multiple debonding, Computational Materials Science, Vol.50, pp. 1263-1268, 2011.

  • Sadeghpour, E., Sadighi.M., Ohadi, A., Free vibration analysis of a debonded curved sandwich beam, European Journal of Mechanics - A/Solids Vol. 57, pp.71-84, 2016.

  • Cook, R.D., Malkus, D.S., and Plesha, M.E., Concepts and applications of finite element analysis, John Wiley and Sons, New York, 1989.


Abstract Views: 399

PDF Views: 2




  • Free Vibration Analysis of Pre-Twisted Composite Sandwich Conical Shells Containing Debonding

Abstract Views: 399  |  PDF Views: 2

Authors

Tripuresh Deb Singha
Mechanical Engineering, Govt. College of Engineering and Textile Technology, Serampore, Hooghly 712201, India
Tanmoy Bandyopadhyay
Mechanical Engineering Department, Jadavpur University, Kolkata 700032, India
Amit Karmakar
Mechanical Engineering Department, Jadavpur University, Kolkata 700032, India

Abstract


This article addresses the theoretical investigation of the free vibration behaviours of debonded sandwich conical shells employing finite element method (FEM). The finite element formulation is developed with the aid of the first-order shear deformation theory for both composite facings and core of the sandwich shell. The governing equation of dynamic equilibrium of the debonded sandwich conical shells is deduced by employing Lagrangian equation in which damping is ignored. Necessary compatibility and equlibrium conditions for deformations, forces and moments at the tip of the debonded region are assumed to be satisfied. The results obtained from the formulation are analyzed to depict the effects of stacking sequence and span-wise relative position of the debonding on the free vibration response of the pre-twisted sandwich panels.

Keywords


Sandwich, Conical Shell, Free Vibration, Finite Element Method.

References





DOI: https://doi.org/10.22485/jaei%2F2020%2Fv90%2Fi1-2%2F205382