INVESTIGATION OF THE UTILIZATION OF THE POINT MATCHING TECHNIQUE FOR THE SOLUTION OF VARIOUS BOUNDARY VALUE PROBLEMS.
Abstract
This report is the third in a series dealing with research sponsored by the Air Force Flight Dynamics Laboratory on the application of the mathematical technique of point matching to the practical solution of boundary value problems. The report is divided into four parts. The first part describes numerical research with computer programs previously developed to solve some plate problems of classical interest. These are: (1) regular polygonal plates having either clamped or simply-supported edges and the (2) mixed boundary value problem of a circular plate having part of its boundary simply supported and the remainder either clamped or free. The second part demonstrates the technique for the solution of plate problems where circular holes are encountered. Extensive numerical results are given for square panels having circular holes. The third part details the specialized methods required in the case when the differential equation for the continuum and the boundary conditions on two intersecting straight edges are all to be satisfied exactly. The technique is demonstrated by two plate problems: (1) cantilevered isosceles triangles and (2) simply-supported regular polygons having corner stress singularities. The last part is an introduction to the application of the point matching method to a boundary value problem governed by an eighth order system of differential equations--the transverse bending of shallow shells. The technique is displayed in determining the stresses surrounding a rigid elliptical insert in a shell. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1967
- Accession Number
- AD0810903
Entities
People
- Arthur W. Leissa
Organizations
- Ohio State University