2017
DOI: 10.1515/phys-2017-0072
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Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

Abstract: 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 nonviscous exponential damping. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the c… Show more

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Cited by 2 publications
(1 citation statement)
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“…The Bingham model is a linear variant of the Herschel–Bulkley model, as may be seen, that is, when m = 1 . Even if the Herschel–Bulkley model represents the behavior of the MRF accurately, the Bingham plastic model is mostly used since it is straightforward ( Marinca et al, 2017 ).…”
Section: Modeling the Mr Dampermentioning
confidence: 99%
“…The Bingham model is a linear variant of the Herschel–Bulkley model, as may be seen, that is, when m = 1 . Even if the Herschel–Bulkley model represents the behavior of the MRF accurately, the Bingham plastic model is mostly used since it is straightforward ( Marinca et al, 2017 ).…”
Section: Modeling the Mr Dampermentioning
confidence: 99%