Natural Frequencies and Mode Shapes of a Square Plate with Discontinuous Boundary Conditions.
Abstract
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 nontrival solution. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1971
- Accession Number
- AD0751238
Entities
People
- James E. Marsh
Organizations
- Air Force Institute of Technology