NATURAL FREQUENCIES AND MODE SHAPES OF A SQUARE PLATE WITH DISCONTINUOUS BOUNDARY CONDITIONS

The natural frequencies and mode shapes are theoretically determined for a simply supported square plate with discontinuous boundary conditions created by clamping segments of the boundary. Two different clamping configurations are investigated: (1) partial clamping at the end of one edge, and (2) partial clamping on opposite edges. Satisfying the conditions of clamping leads to a Fredholm integral equation of the first kind for the first clamping configuration and a system of integral equations for the second configuration. The frequencies are found by approximating the integral equations with a finite set of homogeneous algebraic equations and insisting that this set have a nontrivial solution. (Author)

  • Corporate Authors:

    Wright-Patterson Air Force Base

    Air Force Institute of Technology, 2950 Hobson Way
    Dayton, OH  USA  45433-7765
  • Authors:
    • Marsh, J E
  • Publication Date: 1971-9

Media Info

  • Pagination: 100 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00043215
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: GA4/MC/71-5 MA Thesis
  • Files: TRIS
  • Created Date: Apr 6 1973 12:00AM