Discontinuities in integral-transform solutions
- 1 January 1962
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 19 (4) , 273-284
- https://doi.org/10.1090/qam/131729
Abstract
Criteria are derived for the determination of the magnitude and the location of discontinuities of solutions in the form of definite integrals obtained by means of integral-transform techniques. The types of integrals arising with the Fourier sine or cosine transforms and those arising with the Laplace transforms are considered in detail. Applications of the theory arise particularly with problems of wave propagation, where interest is centered on the location of wave fronts and the magnitude of jumps there; two illustrative examples of such problems relating to Timoshenko beams are included.Keywords
This publication has 4 references indexed in Scilit:
- Operational Mathematics. 2nd. edition. By R. V. Churchill. Pp. 337 54s. 6d. 1958. (McGraw-Hill, London)The Mathematical Gazette, 1961
- An Approximate Analysis of Timoshenko Beams Under Dynamic LoadsJournal of Applied Mechanics, 1958
- On the Use of Sine Transforms in Timoshenko-Beam Impact ProblemsJournal of Applied Mechanics, 1957
- Some Solutions of the Timoshenko Beam EquationsJournal of Applied Mechanics, 1955