AN ANALYSIS OF REINFORCED FLAT PLATES.
Abstract
This report presents a method of analysis for the response of forced harmonic vibration of a finite structure composed of a flat plate continuous over, and rigidly attached to, a grid of open section beams. This method of analysis is one in which either the standard beam or thin plate equilibrium equations for small deflections are satisfied everywhere on the structure, yet the beam grid is allowed to have any form, the flat plate to have polygonal cutouts, and the structure as a whole to have any combination of boundary conditions. Finite Fourier series are used to represent the plate edge deflections. Therefore, the equations of continuity and the boundary conditions are only satisfied approximately. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1969
- Accession Number
- AD0701396
Entities
People
- B. K. Donaldson
Organizations
- University of Illinois Urbana–Champaign