Simulation of large deflections of a flexible cantilever beam fabricated from functionally graded materials by the Adomian decomposition method
type: Item
instance of: scholarly article
title: Simulation of large deflections of a flexible cantilever beam fabricated from functionally graded materials by the Adomian decomposition method
zbMATH Open document ID: 1474.74002
DOI: 10.1504/IJDSDE.2020.109104
author: Jun-Sheng Duan
author: Abdul-Majid Wazwaz
author: Randolph Rach
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2021-04-22T00:00:00Z
review text: Summary: In this work, we use the Adomian decomposition method to study large deflections of a flexible cantilever beam fabricated from functionally graded materials with a sinusoidal nonlinearity. We convert the specified nonlinear boundary value problem with Dirichlet and Neumann boundary conditions, that governs the large deflections, to an equivalent nonlinear Fredholm-Volterra integral equation. We illustrate the obtained approximations by appropriate graphs and examine the resulting possible errors. Finally, we discuss the relationship of the deflection and the model parameters.
Mathematics Subject Classification ID: 74-10
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 7336627
zbMATH Keywords: large deflection
zbMATH Keywords: boundary value problem
zbMATH Keywords: flexible cantilever beam
zbMATH Keywords: functionally graded material
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: Adomian polynomials
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.109104
OpenAlex ID: W4248299607
description: scientific article; zbMATH DE number 7336627