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contributor authorLiu, Q. X.
contributor authorLiu, J. K.
contributor authorChen, Y. M.
date accessioned2019-02-28T11:11:54Z
date available2019-02-28T11:11:54Z
date copyright6/18/2018 12:00:00 AM
date issued2018
identifier issn1555-1415
identifier othercnd_013_08_084501.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253725
description abstractThis paper presents an accurate and efficient hybrid solution method, based on Newmark-β algorithm, for solving nonlinear oscillators containing fractional derivatives (FDs) of arbitrary order. Basically, this method employs a quadrature method and the Newmark-β algorithm to handle FDs and integer derivatives, respectively. To reduce the computational burden, the proposed approach provides a strategy to avoid nonlinear algebraic equations arising routinely in the Newmark-β algorithm. Numerical results show that the presented method has second-order accuracy. Importantly, it can be applied to both linear and nonlinear oscillators with FDs of arbitrary order, without losing any precision and efficiency.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Second-Order Scheme for Nonlinear Fractional Oscillators Based on Newmark-β Algorithm
typeJournal Paper
journal volume13
journal issue8
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4040342
journal fristpage84501
journal lastpage084501-5
treeJournal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 008
contenttypeFulltext


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