DOI QR코드

DOI QR Code

Modal characteristics of partially perforated rectangular plate with triangular penetration pattern

  • Jhung, Myung J. (Korea Institute of Nuclear Safety) ;
  • Jeong, Kyeong H. (Korea Atomic Energy Research Institute)
  • Received : 2015.03.01
  • Accepted : 2015.06.22
  • Published : 2015.08.10

Abstract

There are so many applications of perforated pates with various penetration patterns. If they are penetrated regularly, it can be represented by solid plate with equivalent material properties, which has a benefit of finite element modelling and reducing computation time for the analysis. Because the equivalent material properties suggested already are not proper to be applicable for the dynamic analysis, it is necessary to extract the equivalent material properties for the dynamic analysis. Therefore, in this study, the equivalent modulus of elasticity are obtained for the perforated plate with a triangular penetration pattern by comparing the natural frequencies of the perforated plate with those of solid plate, which are represented with respect to the ligament efficacy. Using the equivalent material properties suggested, the modal analyses of the partially perforated rectangular plate with a triangular penetration pattern are performed and its applicability is shown by comparing natural frequencies of perforated and homogeneous solid plates from finite element method and analytical method.

Keywords

References

  1. ANSYS (2013), ANSYS Structural Analysis Guide, ANSYS, Inc., Houston, USA.
  2. ASME (2007), ASME PVP Code, Section III, Division 1, Appendices, Non-mandatory Appendix A, Article A-8000, Stresses in Perforated Flat Plates.
  3. Cernescu, A., Romanoff, J., Remes, H., Faur, N. and Jelovica, J. (2014), "Equivalent mechanical properties for cylindrical cell honeycomb core structure", Compos. Struct., 108, 866-875. https://doi.org/10.1016/j.compstruct.2013.10.017
  4. Chang, Y.S., Jhung, M.J., Lee, B.S., Kim, H.S. and Hur, N.S. (2013), Structural Integrity of Nuclear Components, Hanshouse, Seoul, Korea.
  5. Cupial, P. (1997), "Calculation of the natural frequencies of composite plates by the Rayleigh-Ritz method with orthogonal polynomials", J. Sound Vib., 201(3), 385-387. https://doi.org/10.1006/jsvi.1996.0802
  6. Grimes, R.G., Lewis, J.G. and Simon, H.D. (1994), "A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems", SIAM J. Mat. Anal. Appl., 15(1), 228-272. https://doi.org/10.1137/S0895479888151111
  7. Ilanko, S. and Monterrubio L.E. (2014), The Rayleigh-Ritz Method for Structural Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA.
  8. Jhung, M.J. (1997), "Axial Response of PWR fuel assemblies for earthquake and pipe break excitations", Struct. Eng. Mech., 5(1), 149-165. https://doi.org/10.12989/sem.1997.5.2.149
  9. Jhung, M.J. and Jeong, K.H. (2015), "Free vibration analysis of perforated plate with square penetration pattern using equivalent material properties", Nucl. Eng. Tech., 47(4), 500-511. https://doi.org/10.1016/j.net.2015.01.012
  10. Kerboua, Y., Lakis, A.A., Thomas, M. and Marcouiller, L. (2008), "Computational modeling of coupled fluid-structure systems with applications", Struct. Eng. Mech., 29(1), 91-111. https://doi.org/10.12989/sem.2008.29.1.091
  11. Kim, D.H, Chang, Y.S. and Jhung, M.J. (2014), "Numerical study on fluid flow by hydrodynamic loads in reactor internals", Struct. Eng. Mech., 51(6), 1005-1016. https://doi.org/10.12989/sem.2014.51.6.1005
  12. Ko, D.Y. and Kim, K.H. (2013), "Structural analysis of CSB and LSS for APR1400 RVI CVAP", Nucl. Eng. Des., 261, 76-84. https://doi.org/10.1016/j.nucengdes.2013.03.012
  13. Li, R.C. and Zhang, L.H. (2013), Convergence of Block Lanczos Method for Eigenvalue Clusters, University of Texas, Arlington, USA.
  14. O'Donnell, W. J. (1973), "Effective elastic constants for the bending of thin perforated plates with triangular and square penetration patterns", J. Eng. Indus., 95, 121-128. https://doi.org/10.1115/1.3438086
  15. Slot, T. and O'Donnell, W.J. (1971), "Effective elastic constants for thick perforated plates with triangular and square penetration patterns", J. Eng. Indus., 93(4), 935-942. https://doi.org/10.1115/1.3428087

Cited by

  1. Free vibration analysis of partially perforated circular plates vol.199, 2017, https://doi.org/10.1016/j.proeng.2017.09.230