Iterative technique for a beam lying on a transversely isotropic foundation

Abstract The effect of the foundation heterogeneity on mechanical behaviour a beam Vlasov soils is discussed. According to refined soil model, static problem beams lying transversely isotropic can be solved by an iterative method. In this paper, based energy variational principle, differential equations for under axial force foundations are derived. methods solving internal forces and deformations elastic given. Additionally, equation attenuation parameters also established, characteristic model technique. Numerical results show that have influence beam-soil system. Moreover, relatively accurate obtained through process. has broad application prospects.