The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previous studies on the vibrations of plates with discontinuities. (Author)

  • Supplemental Notes:
    • Report on 'Deep Ocean Engineering.'
  • Corporate Authors:

    Notre Dame University

    College of Engineering
    Notre Dame, Indiana,   United States  46556
  • Authors:
    • Hegarty, R F
    • Ariman, T
  • Publication Date: 1973-8

Media Info

  • Pagination: 51 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00051193
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: UND-73-9
  • Contract Numbers: N00014-68-A-0152
  • Files: TRIS
  • Created Date: Feb 28 1974 12:00AM