Large deflections of tapered cantilever beams made of axially functionally graded material
The nonlinear bending equation for a slender, tapered cantilever beam made of axially functionally graded material (FGM) with a transverse load applied at the tip, undergoing large deflections, is solved by the Runge-Kutta method. Solutions are obtained for round cross-sections, for varying degrees...
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The Japan Society of Mechanical Engineers
2018
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oai:doaj.org-article:5a9e123d0c02462dbaff51030187a4cf2021-11-26T07:14:14ZLarge deflections of tapered cantilever beams made of axially functionally graded material2187-974510.1299/mej.17-00268https://doaj.org/article/5a9e123d0c02462dbaff51030187a4cf2018-01-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/5/1/5_17-00268/_pdf/-char/enhttps://doaj.org/toc/2187-9745The nonlinear bending equation for a slender, tapered cantilever beam made of axially functionally graded material (FGM) with a transverse load applied at the tip, undergoing large deflections, is solved by the Runge-Kutta method. Solutions are obtained for round cross-sections, for varying degrees of both taper and Young's modulus and are compared with existing values obtained in previous research. Sets of deflection and stress curves are also obtained, from which the deflection and stress at any point in the beam may be computed.Tadashi HORIBEKotaro MORIThe Japan Society of Mechanical Engineersarticlelarge deflectiontapered beamaxially functionally graded materialbending stressnumerical analysisgeometrical nonlinearityMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 5, Iss 1, Pp 17-00268-17-00268 (2018) |
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DOAJ |
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topic |
large deflection tapered beam axially functionally graded material bending stress numerical analysis geometrical nonlinearity Mechanical engineering and machinery TJ1-1570 |
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large deflection tapered beam axially functionally graded material bending stress numerical analysis geometrical nonlinearity Mechanical engineering and machinery TJ1-1570 Tadashi HORIBE Kotaro MORI Large deflections of tapered cantilever beams made of axially functionally graded material |
description |
The nonlinear bending equation for a slender, tapered cantilever beam made of axially functionally graded material (FGM) with a transverse load applied at the tip, undergoing large deflections, is solved by the Runge-Kutta method. Solutions are obtained for round cross-sections, for varying degrees of both taper and Young's modulus and are compared with existing values obtained in previous research. Sets of deflection and stress curves are also obtained, from which the deflection and stress at any point in the beam may be computed. |
format |
article |
author |
Tadashi HORIBE Kotaro MORI |
author_facet |
Tadashi HORIBE Kotaro MORI |
author_sort |
Tadashi HORIBE |
title |
Large deflections of tapered cantilever beams made of axially functionally graded material |
title_short |
Large deflections of tapered cantilever beams made of axially functionally graded material |
title_full |
Large deflections of tapered cantilever beams made of axially functionally graded material |
title_fullStr |
Large deflections of tapered cantilever beams made of axially functionally graded material |
title_full_unstemmed |
Large deflections of tapered cantilever beams made of axially functionally graded material |
title_sort |
large deflections of tapered cantilever beams made of axially functionally graded material |
publisher |
The Japan Society of Mechanical Engineers |
publishDate |
2018 |
url |
https://doaj.org/article/5a9e123d0c02462dbaff51030187a4cf |
work_keys_str_mv |
AT tadashihoribe largedeflectionsoftaperedcantileverbeamsmadeofaxiallyfunctionallygradedmaterial AT kotaromori largedeflectionsoftaperedcantileverbeamsmadeofaxiallyfunctionallygradedmaterial |
_version_ |
1718409718801629184 |