期刊
MATHEMATICAL MODELLING AND ANALYSIS
卷 28, 期 3, 页码 360-373出版社
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/mma.2023.16620
关键词
nanobeam conveying fluid; nonlocal calculus; Galerkin's method; variational iteration method; Laplace transform
类别
This paper proposes a scheme for solving the amplitudes of forced oscillations of a nano-structure conveying fluid, which can obtain numerical results faster and more accurately.
The amplitudes of the forced oscillations of a nano-structure conveying fluid are the solutions of an inhomogeneous integral-differential system. This is solved by an easily accessible scheme based on the variational iteration method (VIM), Galerkin's method and the Laplace transform techniques. The presented method is accompanied by the study of the convergence of the iterative process and of the errors. In the literature, the dynamic response of a viscoelastic nanotube conveying fluid is frequently obtained by an iterative method. This leads to the double convolution products, whose presence will be avoided in the new method proposed in this paper. Thus, the numerical results will be obtained much faster and more accurately.
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