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Accession Number:
AD0481998
Title:
FURTHER STUDIES IN THE APPLICATION OF THE POINT MATCHING TECHNIQUE TO PLATE BENDING AND OTHER HARMONIC AND BIHARMONIC BOUNDARY VALUE PROBLEMS.
Corporate Author:
OHIO STATE UNIV COLUMBUS DEPT OF ENGINEERING MECHANICS
Report Date:
1966-01-01
Abstract:
This work is the second report summarizing work in applying the point matching technique to plate bending and other harmonic and biharmonic boundary value problems. Ideas to improve the numerical convergence are investigated. One idea involves using multiple poles of expansion this is demonstrated by a torsion problem. Sources of round-off error are identified and means of minimizing it are described, along with examples. The concept of multiple poles is extended further to the use of a large number of origins located along the boundary itself. Singularity functions referred to these origins are used to represent concentrated forces and moments. Used in conjunction with point matching, a method results which is an approximation to the solution of singular integral equations, and yields excellent results for intricate shapes. Suitable equations are formulated for representing the boundary conditions by step function or polygonal function approximation for several classes of problems, including conductive heat transfer, torsion, plate bending, and plane elasticity with mixed boundary conditions. Numerous numerical examples are presented which demonstrate the technique and convergence for these classes of problems. Author
Descriptive Note:
Comprehensive rept. no. 2, Dec 63-Feb 64,
Pages:
0175
Contract Number:
AF 33(657)8772
File Size:
0.00MB
