DOI QR코드

DOI QR Code

Vibration Analysis of Composite Cylindrical Shells Subjected to Electromagnetic and Thermal Fields

자기장 및 열하중을 받는 복합재료 원통셸의 진동해석

  • Received : 2012.06.14
  • Accepted : 2012.07.12
  • Published : 2012.08.20

Abstract

In this paper free vibration analysis of symmetric and cross-ply elastic laminated shells based on FSDT was performed through discretization of equations of motion and boundary condition. Structural model of laminated composite cylindrical shells subjected to a combination of magnetic and thermal fields is developed via Hamilton's variational principle. These coupled equations of motion are based on the electromagnetic equations(Faraday, Ampere, Ohm, and Lorenz equations) and thermal equations which are involved in constitutive equations. Variations of dynamic characteristics of composite shells with applied magnetic field, temperature gradient, and stacking sequence are investigated and pertinent conclusions are derived.

Keywords

References

  1. Arnold, R. N. and Warburton, G. B., 2011, Flexural Vibrations of the Walls of Thin Cylindrical Shells Having Freely Supported Ends, Proceedings of the Royal Society London, A197, pp. 238-256.
  2. Leissa, A. W., 1973, Vibration of Shells, NASA SP-288.
  3. Chung, H., 1981, Free Vibration of Circular Cylindrical Shells, Journal of Sound and Vibration, Vol. 74, No. 3, pp. 331-350. https://doi.org/10.1016/0022-460X(81)90303-5
  4. Ferreira, A. J. M., Roque, C. M. C. and Jorge, R. M. N., 2007, Natural Frequencies of FSDT Cross-ply Composite Shells by Multiquadrics, Composite Structures, Vol. 77, No. 3, pp. 296-305. https://doi.org/10.1016/j.compstruct.2005.07.009
  5. Mohamad S. Q., 1999, Accurate Equations for Laminated Composite Deep Thick Shells, Solids and Structures, Vol. 36, No. 19, pp. 2917-2941. https://doi.org/10.1016/S0020-7683(98)00134-6
  6. Lam, K. Y. and Wu, Q., 2000, Free Vibration of Symmetric Angle-ply Thick Laminated Composite Cylindrical Shells, Composite Part B: Engineering, Vol. 31, No. 4, pp. 345-354. https://doi.org/10.1016/S1359-8368(99)00075-X
  7. Yoon, G. H., 2010, Topology Optimization Considering the Couplings of Electro-fluid-thermalcompliant Micro Actuator, KSME, Vol. 10, pp. 640-642.
  8. Kim, S. K., Lee, K. W., Moon, J. K., Choi, J. W., Kim, Y. J., Park, S. Y. and Song, O. S., 2011, Dynamic Characteristics of Composite Plate Subjected to Electromagnetic and Thermal Field, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 21, No. 6, pp. 536-545. https://doi.org/10.5050/KSNVE.2011.21.6.536
  9. Qin, Z., 2010, Magneto-thermo-elasticity of an Electroconductive Circular Cylindrical Shell Featuring Nonlinear Deformations, International Journal of Engineering Science, Vol. 48, No. 12, pp. 1797- 1810. https://doi.org/10.1016/j.ijengsci.2010.09.021
  10. Qin, Z. and Hasanyan, D., 2011, Fully Non-linear Magnetoelastic Interactions of a Circular Cylindrical Thin Shell Subject to Electromagnetic Fields, International Journal of Non-linear Mechanics, Vol. 46, No. 2, pp. 425-435. https://doi.org/10.1016/j.ijnonlinmec.2010.11.002
  11. Tsai, Y. H. and Wu, C. P., 2008, Dynamic Responses of Functionally Graded Magneto-electroelastic Shells with Open-circuit Surface Conditions, International Journal of Engineering Science, Vol. 46, No. 9, pp. 843-857. https://doi.org/10.1016/j.ijengsci.2008.03.005
  12. Reddy, J. N., 2004, Mechanics of Laminated Composite Plates and Shells Theory and Analysis 2nd Edition, CRC Press, New York.
  13. Reddy, J. N. and Liu, C. F., 1985, A Higher-order Shear Deformation Theory of Laminated Elastic Shells, International Journal of Engineering Science, Vol. 23, No. 3, pp. 319-330. https://doi.org/10.1016/0020-7225(85)90051-5

Cited by

  1. Vibration and Stability of Composite Cylindrical Shells Subjected to Electromagnetic and Thermal Fields vol.23, pp.9, 2013, https://doi.org/10.5050/KSNVE.2013.23.9.797