Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations

Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations

In this paper, a two-stage approach is presented for analyzing flexible beams undergoing large rotations. In the first stage, the symbolic forms of equations of motion and the Jacobian matrix are generated by means of MATLAB and written into a MATLAB script file automatically, where the flexible bea...

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Bibliographic Details
Main Authors: Xiaofeng Yuan, Yukio Tada
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:Mathematical Problems in Engineering
Subjects:
Differential equation; Direct integration; Symbolic computation; FEM; Geometric nonlinearity; Inertia nonlinearity; Matlab.
Online Access:http://dx.doi.org/10.1155/S1024123X01001636
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spelling doaj-e0fcfe79a99249a29e489995c7f4d5352020-11-24T22:57:29ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472001-01-017324125210.1155/S1024123X01001636Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computationsXiaofeng Yuan0Yukio Tada1Division of System Science, Graduate School of Science and Technology, Kobe University, Kobe, JapanDepartment of Computer and Systems Engineering, Faculty of Engineering, Kobe University, Kobe, JapanIn this paper, a two-stage approach is presented for analyzing flexible beams undergoing large rotations. In the first stage, the symbolic forms of equations of motion and the Jacobian matrix are generated by means of MATLAB and written into a MATLAB script file automatically, where the flexible beams are described by the unified formulation presented in our previous paper. In the second stage, the derived equations of motion are solved by means of implicit numerical methods. Several comparison computations are performed. The two-stage approach proves to be much more efficient than pure numerical one.http://dx.doi.org/10.1155/S1024123X01001636Differential equation; Direct integration; Symbolic computation; FEM; Geometric nonlinearity; Inertia nonlinearity; Matlab.
collection DOAJ
language English
format Article
sources DOAJ
author Xiaofeng Yuan
Yukio Tada
spellingShingle Xiaofeng Yuan
Yukio Tada
Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
Mathematical Problems in Engineering
Differential equation; Direct integration; Symbolic computation; FEM; Geometric nonlinearity; Inertia nonlinearity; Matlab.
author_facet Xiaofeng Yuan
Yukio Tada
author_sort Xiaofeng Yuan
title Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
title_short Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
title_full Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
title_fullStr Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
title_full_unstemmed Nonlinear analysis of flexible beams undergoing large rotations Via symbolic computations
title_sort nonlinear analysis of flexible beams undergoing large rotations via symbolic computations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2001-01-01
description In this paper, a two-stage approach is presented for analyzing flexible beams undergoing large rotations. In the first stage, the symbolic forms of equations of motion and the Jacobian matrix are generated by means of MATLAB and written into a MATLAB script file automatically, where the flexible beams are described by the unified formulation presented in our previous paper. In the second stage, the derived equations of motion are solved by means of implicit numerical methods. Several comparison computations are performed. The two-stage approach proves to be much more efficient than pure numerical one.
topic Differential equation; Direct integration; Symbolic computation; FEM; Geometric nonlinearity; Inertia nonlinearity; Matlab.
url http://dx.doi.org/10.1155/S1024123X01001636
work_keys_str_mv AT xiaofengyuan nonlinearanalysisofflexiblebeamsundergoinglargerotationsviasymboliccomputations
AT yukiotada nonlinearanalysisofflexiblebeamsundergoinglargerotationsviasymboliccomputations
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