Journal of Theoretical
and Applied Mechanics

11, 1, pp. 75-84, Warsaw 1973

Uogólniona funkcja Greena dla nieskończonego pasma płytowego

Jan Grabacki, Gwidon Szefer
In the paper is constructed the generalized Green function for an infinite plate strip with free edges. The solution is found by means of ultradistributions what makes it possible to weaken the assumptions, to increase the possibility of performing certain operations which are not applicable in the classical sense, and to make the considerations more compact. It should be stressed that the method presented is effective, and the final results – after application of the Krylov method of approximate evaluation of Fourier integrals – are elementary. The paper represents an example of application of the theory of ultradistributions to the boundary value problems of elasticity.