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)
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Corporate Authors:
Wright-Patterson Air Force Base
Air Force Institute of Technology, 2950 Hobson Way
Dayton, OH United States 45433-7765 -
Authors:
- Marsh, J E
- Publication Date: 1971-9
Media Info
- Pagination: 100 p.
Subject/Index Terms
- TRT Terms: Boundary layer; Frequency (Electromagnetism); Stresses; Structural plates; Vibration
- Old TRIS Terms: Boundary stresses; Frequency determination; Plate vibration
- Subject Areas: Marine Transportation; Materials;
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