DYNAMIC ANALYSIS OF ELASTIC PLATES WITH CIRCULAR HOLES

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

• TRT Terms: Bending; Bending stress; Boundary value problems; Deflection; Dynamic loads; Dynamic structural analysis; Fatigue (Mechanics); Hulls; Least squares method; Loads; Poisson ratio; Rectangles; Resonance frequency; Stresses; Structural plates; Vibration
• Old TRIS Terms: Circular holes; Loading mechanics; Metal plates; Plate deflections; Plate vibration; Plates (Structural members); Portholes; Rectangular bodies
• Subject Areas: Marine Transportation; Materials;

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