Adomian Decomposition Method for Solving a Cantilever Beam of Varying Orientation with Tip MassSource: Journal of Computational and Nonlinear Dynamics:;2007:;volume( 002 ):;issue: 001::page 52Author:Mustafa Yaman
DOI: 10.1115/1.2389167Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A uniform cantilever beam of varying orientation with a tip mass at the free end can be used as a basic model of many practical structures such as flexible robot arm or antenna mast. The aim of the study described here is to investigate the influence of the orientation effect on the natural frequency of the cantilever beam carrying a tip mass. An analytic solution is obtained by using the Adomian decomposition method. The accuracy of the Adomian decomposition method with a varying number of terms in the series is investigated by comparing its results with those generated by the finite element method.
keyword(s): Cantilever beams , Boundary-value problems , Equations , Finite element analysis AND Finite element methods ,
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| contributor author | Mustafa Yaman | |
| date accessioned | 2017-05-09T00:22:59Z | |
| date available | 2017-05-09T00:22:59Z | |
| date copyright | January, 2007 | |
| date issued | 2007 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25600#52_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135349 | |
| description abstract | A uniform cantilever beam of varying orientation with a tip mass at the free end can be used as a basic model of many practical structures such as flexible robot arm or antenna mast. The aim of the study described here is to investigate the influence of the orientation effect on the natural frequency of the cantilever beam carrying a tip mass. An analytic solution is obtained by using the Adomian decomposition method. The accuracy of the Adomian decomposition method with a varying number of terms in the series is investigated by comparing its results with those generated by the finite element method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Adomian Decomposition Method for Solving a Cantilever Beam of Varying Orientation with Tip Mass | |
| type | Journal Paper | |
| journal volume | 2 | |
| journal issue | 1 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.2389167 | |
| journal fristpage | 52 | |
| journal lastpage | 57 | |
| identifier eissn | 1555-1423 | |
| keywords | Cantilever beams | |
| keywords | Boundary-value problems | |
| keywords | Equations | |
| keywords | Finite element analysis AND Finite element methods | |
| tree | Journal of Computational and Nonlinear Dynamics:;2007:;volume( 002 ):;issue: 001 | |
| contenttype | Fulltext |