An iteration method for integral equations arising from axisymmetric loading problems (Q1087379)

Let the concentrated forces and the centers of pressure with unknown density functions x(\(\xi)\) and y(\(\xi)\), respectively, be distributed along the axis z outside the solid, then one can reduce an axisymmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is discussed. A lemma equivalent to E. Rakotch's contractive mapping theorem and a theorem concerning the convergence of the iteration method are presented.