Difference Methods for Multiple Reflection of Elastic Stress Waves
Abstract
This paper presents an original method, using finite-difference approximations, for solving problems of stress-wave propagation in an elastic bar with discontinuities. The method, which is also applicable to similar problems in optical, acoustical, and electrical transmission lines, is simple and amenable to hand computation. With a computer, cases involving hundreds of discontinuities, as well as multiple-reflection problems with randomly related transit-time intervals, can be handled with ease. The validity and versatility of the method are demonstrated by solving two illustrative examples; results are shown to be in good agreement with corresponding analytical and experimental results.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- August 1970
- DOI:
- 10.1016/0021-9991(70)90002-1
- Bibcode:
- 1970JCoPh...6...17C