Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

Autor: Marinca Vasile, Ene Remus-Daniel, Bereteu Liviu
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Open Physics, Vol 15, Iss 1, Pp 620-626 (2017)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2017-0072
Popis: Dynamic response time is an important feature for determining the performance of magnetorheological (MR) dampers in practical civil engineering applications. The objective of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to give approximate analytical solutions of the nonlinear differential equation of a modified Bingham model with non-viscous exponential damping. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. OHAM is very efficient in practice for ensuring very rapid convergence of the solution after only one iteration and with a small number of steps.
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