On the formal development of elastic foundation models

摘要: In developing foundation models, the majority of researchers proceeded in two ways: (1) Start with Winkler model and, order to bring it closer reality, assume some kind interaction between spring elements, or (2) start continuum and then introduce simplifying assumptions respect displacements and/or stresses. A third approach, developed mainly recent decades, is a procedure which makes use formal power series expansions. The purpose present paper discuss this approach for generating models. It shown that priori assumption contact pressure related surface deflections its derivatives, p(x)=f(w, w′, w″, ...), too restrictive proper form p(x)=F(w, ..., p′, p″, ...). concludes comparison obtained models discussion sequencing higher beyond foundation.