Abstract
A method of deriving the solution of the binding problem for an infinite plate on a linearly deformable foundation of general type is presented in publications of Korenev [1]. The solution of the bending problem for a semi-infinite plate on elastic foundations of some special characteristics was obtained, on the basis of the theory of integral equations of the Wiener-Hopf type [5], in [2,3], and furthermore in [4]. A general method of deriving the solution of the bending problem for a semi-infinite plate on a linearly deformable foundation of general type, with additional loading taken into account, is given below. A detailed presentation is worked out for the case of a semi-infinite beam on the elastic half-plane. A well-known approximate solution of this problem has been given by Gorbunov-Posadov [6]; he himself concedes, however, that the approximate bmethod just mentioned is less accurate than this method of analysing beams of finite length. The reader will find below the results of computations which show the deviations of Gorbunov-Posadov's solution from those obtained in the present publication.
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