Application of Homotopy analysis method for mechanical model of deepwater SCR installation

Abstract

Articles you may be interested inApplication of the homotopy analysis method for solving the two-dimensional steady-state heat conduction problem AIP Conf.A new application of multistage homotopy perturbation method to the chaotic Rössler system AIP Conf.Preface of the "Symposium on the latest development in the theory of the homotopy analysis method and its applications" AIP Conf.Abstract. In this paper, considering the process of deepwater SCR installation with the limitations of small deformation theory of beam and catenary theory, a mechanical model of deepwater SCR installation is given based on large deformation beam model. In the following model, getting the relation of the length of the riser, bending stiffness and the unit weight by dimensional analysis, the simple approximate analytical expressions are obtained by using Homotopy Analysis Method. In the same condition, the calculated results are compared with the proposed approximate analytical expressions, the catenary theory or the commercial software of nonlinear finite element program ORCAFLEX. Hopefully, a convenient and effective method for mechanical model of deepwater SCR installation is provided.