Potential fields induced by point sources in assemblies of shells weakened with apertures

Abstract

Communicated by P. M. MarianoWell-posed boundary-value problems in multiply-connected regions are targeted for some sets of two-dimensional Laplace equations written in geographical coordinates on joint surfaces of revolution. Those are problems that simulate potential fields induced by point sources in joint perforated thin shell structures consist of fragments of different geometry. A semi-analytical approach is proposed to accurately compute solutions of such problems. The approach is based on the matrix of Green's type formalism. The elements of required matrices of Green's type are obtained analytically and expressed in closed computer-friendly form. This makes it possible to efficiently deal with the targeted class of problems.whilst another fragment is circular toroidal of radii R and r, occupying the regionFrom Figure 1, it follows that the parallel D 0 of the spherical fragment and the parallel ' D ' 0 of the toroidal fragment represent the same circle, which is, in fact, the interface in of the two surfaces.