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Coupled Vibration of Functionally Graded Cylindrical Shells Conveying Fluid

유체 유동을 고려한 경사기능재료 원통셸의 연성진동

  • 김영완 (전남대학교 기계자동차공학부) ;
  • 김규호 (전남대학교 대학원 기계설계공학과) ;
  • 위은중 (전남대학교 대학원 기계설계공학과)
  • Published : 2009.11.20

Abstract

The coupled fluid-structure interaction problem is analyzed using the theoretical method to investigate the coupled vibration characteristics of functionally graded material(FGM) cylindrical shells conveying an incompressible, inviscid fluid. Material properties are assumed to vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The steady flow of fluid is described by the classical potential flow theory. The motion of shell represented by the first order shear deformation theory(FSDT) to account for rotary inertia and transverse shear strains. The effect of internal fluid can be taken into consideration by imposing a relation between the fluid pressure and the radial displacement of the structure at the interface. Numerical examples are presented and compared with exiting results.

Keywords

References

  1. Amabili, M., Pellicano, F. and Paidoussis, M. P., 1999, 'Non-linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid. Part I: Stability,' J. of Sound and Vibration, Vol. 225, No. 4, pp. 655-699 https://doi.org/10.1006/jsvi.1999.2255
  2. Kim, Y. W., 2004, 'Vibration Analysis of Partially Fluid-filled Continuous Cylindrical Shells with Internal Supports,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No. 3, pp. 244-252 https://doi.org/10.5050/KSNVN.2004.14.3.244
  3. Kim, Y. W., Lee, Y. S. and Ko, S. H., 2004, 'Coupled Vibration of Partially Fluid-filled Cylindrical Shells with Ring Stiffeners,' J. of Sound and Vibration, Vol. 276, pp. 869-897 https://doi.org/10.1016/j.jsv.2003.08.008
  4. Chang, J.-S. and Chiou, W.-J., 1995, 'Natural Frequencies and Critical Velocities of Fixed-fixed Laminated Circular Cylindrical Shells Conveying Fluid,' Computers and Structures, Vol. 57, pp. 929-939 https://doi.org/10.1016/0045-7949(94)00352-4
  5. Toorani, M. H. and Lakis, A. A., 2001, 'Shear Deformation in Dynamic Analysis of Anisotropic Laminated Open Cylindrical Shells Filled With or Subjected to a Flowing Fluid,' Computer Methods in Applied Mechanics and Engineering, Vol. 190, pp. 4929-4966 https://doi.org/10.1016/S0045-7825(00)00357-1
  6. Loy, C. T., Lam, K. Y. and Reddy, J. N., 1999, 'Vibration of Functionally Graded Cylindrical Shells,' Int. J. of Mechanical Sciences, Vol. 41, pp. 309-324 https://doi.org/10.1016/S0020-7403(98)00054-X
  7. Patel, B. P., Gupta, S. S., Loknath, M. S. and Kadu, C. P., 2005, 'Free Vibration Analysis of Functionally Graded Elliptical Cylindrical Shells using Higher-order Theory,' Composite Structures, Vol. 69, pp. 259-270 https://doi.org/10.1016/j.compstruct.2004.07.002
  8. Chen, W. Q., Bian, Z. G., Lv, C. F. and Ding, H. J., 2004, '3D Vibration Analysis of a Functionally Graded Piezoelectric Hollow Cylinder Filled with Compressible Fluid,' Int. J. of Solids and Structures, Vol. 41, pp. 947-964 https://doi.org/10.1016/j.ijsolstr.2003.09.036
  9. Chen, W. Q., Bian, Z. G. and Ding, H. J., 2004, 'Three-dimensional Vibration Analysis of Fluid-filled Orthotropic FGM Cylindrical Shells,' Int. J. of Mechanical Sciences, Vol. 46, pp. 159-171 https://doi.org/10.1016/j.ijmecsci.2003.12.005