A method of solving contact problems for bodies of finite size (Q1584138)

Contact problems of elasticity theory for finite bodies whose boundaries are coordinate surfaces in an orthogonal coordinate system are usually reduced to couple equations for some systems of weighted orthonormal functions generated by a Sturm-Liouville problem. Here, the author proposes a method of reducing a wide class of such coupled equations to infinite algebraic systems of the first kind with singular coefficients. He also gives an efficient method of solving such infinite systems, and constructs the corresponding procedure for a system of trigonometric functions.