OPTIMIZATION OF THE NATURAL FREQUENCIES OF PLATES VIA DIMPLING AND BEADING TECHNIQUES

Nabeel T. Alshabatat and Koorosh Naghshineh

References

  1. [1] A.S. Veletsos and N.M. Newmark, Determination of natural frequencies of continuous plates hinged along two opposite edges, Journal of Applied Mechanics, 23, 1956, 97–102.
  2. [2] J.M. Pitarresi and R.J. Kunz, A simple technique for rapid estimation of the optimal support locations for a vibrating plate, Journal of Vibration and Acoustics, 114, 1992, 112–118.
  3. [3] C.F. Lü, Y.Y. Lee, C.W. Lim, and W.Q. Chen, Free vibration of long-span continuous rectangular Kirchhoff plates with internal rigid line supports, Journal for Numerical Methods in Engineering, 70, 2007, 1430–1450.
  4. [4] H. Cohin and G. Handelman, Vibrations of a rectangular plate with distributed added mass, Journal of the Franklin Institute, 261, 1956, 319–329.
  5. [5] A.J. McMillan and A.J. Keane, Shifting resonances from a frequency band by applying concentrated masses to a thin rectangular plate, Journal of Sound and Vibration, 192(2), 1996, 549–562.
  6. [6] J.S. Wu, Free vibration characteristics of a rectangular plate carrying multiple three-degree-of-freedom spring–mass systems using equivalent mass method, International Journal of Solids and Structures, 43, 2006, 727–746.
  7. [7] W.H. Hoppman and L.S. Magness, Nodal patterns and free flexural vibration of stiffened plates, Journal of Applied Mechanics, 79, 1957, 526–530.
  8. [8] G. Aksu and R. Ali, Free vibration analysis of stiffened plates using finite difference method, Journal of Sound and Vibration, 48(1), 1976, 15–25.
  9. [9] C.L. Kirk, Vibration characteristics of stiffened plates, Journal of Mechanical Engineering Science, 2, 1960, 242–253.
  10. [10] C.L. Kirk, Natural frequencies of stiffened rectangular plates, Journal of Sound and Vibration, 13(4), 1970, 375–388.
  11. [11] R.N. Yurkovich, J.H. Schmidt, and A.R. Zak, Dynamic analysis of stiffened panel structures, Journal of Aircraft, 8(3), 1971, 149–155.
  12. [12] D. Lee, A.D. Belengundu, and G.H. Koopmann, Optimum stiffener design to reduce broadband vibration and sound radiation, Proc. 2001 ASME International Mechanical Engineering Congress and Exposition, New York, NY.
  13. [13] H.J. Luo and H.C. Gea, Optimal bead orientation of 3D shell/plate structures, Finite Element in Analysis and Design, 31, 1998, 55–71.
  14. [14] L. Harzheim and W. Lieven, Panel bead optimization methods and applications, Proc. Altair’s 1st European HTC 2007, Berlin.
  15. [15] M. Park, Y. Park, and Y.-S. Park, Raising natural frequencies of a structure via surface-grooving technique, Structural and Multidisciplinary Optimization, 34, 2007, 491–505.
  16. [16] N. Alshabatat and K. Naghshineh, Optimization of the natural frequencies of beams via dimpling technique, Journal of Modeling and Simulation, 32(2), 2012, 134–144.

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