Showing papers on "Elliptic coordinate system published in 1971"
9 citations
TL;DR: In this article, a perturbation solution for the stresses around a small elliptic hole in an infinitely long circular cylindrical shell subjected to torsion is presented, where the major axis of the whole is taken to be parallel to the shell axis.
6 citations
01 Jan 1971
TL;DR: In the case of the coordinate variables, they collapse into a number of very convenient shapes such as pistons, line sources, cylinders, and spheres, and can be easily deduced from spheroidal computations as discussed by the authors.
Abstract: Computations in spheroidal coordinates have become increasingly important in recent years. Such coordinates have been used for the study of the sound radiation of ellipsoids, of discs not enclosed in baffles, of cigarshaped bodies, and of the diffraction by circular apertures. The spheroidal functions have an important property which makes them very useful in practical work. In the limiting cases of the coordinate variables, they collapse into a number of very convenient shapes such as pistons, line sources, cylinders, and spheres, and many different relations and can easily be deduced from spheroidal computations. Many different integrals can be deduced as limiting cases from integrals in spheroidal coordinates.
2 citations