A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters

A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters

A pipe element developed earlier for the analysis of combined large bending and torsional deformations of blood vessels under static loading is extended to model behavior in the presence of large rotations and time-varying external forces. As in the case of the earlier element, the enhanced element...

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Main Authors: Ara Arabyan, Yaqun Jiang
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/1998/695302
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spelling doaj-5440f7f87ed74f229611976c8a1f3dc42020-11-24T22:04:19ZengHindawi LimitedShock and Vibration1070-96221875-92031998-01-015211111710.1155/1998/695302A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler ParametersAra Arabyan0Yaqun Jiang1Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USADepartment of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USAA pipe element developed earlier for the analysis of combined large bending and torsional deformations of blood vessels under static loading is extended to model behavior in the presence of large rotations and time-varying external forces. As in the case of the earlier element, the enhanced element supports ovalization and warping of its cross-section. The enhancements presented in this paper are comprised of a mass matrix and gyroscopic effects resulting from fast rotation rates and large deformations. The effectiveness of the element is demonstrated by two examples, which simulate the three-dimensional behavior of a highly flexible pipe under dynamic loading conditions.http://dx.doi.org/10.1155/1998/695302
collection DOAJ
language English
format Article
sources DOAJ
author Ara Arabyan
Yaqun Jiang
spellingShingle Ara Arabyan
Yaqun Jiang
A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
Shock and Vibration
author_facet Ara Arabyan
Yaqun Jiang
author_sort Ara Arabyan
title A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
title_short A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
title_full A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
title_fullStr A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
title_full_unstemmed A Consistent Dynamic Finite Element Formulation For a Pipe Using Euler Parameters
title_sort consistent dynamic finite element formulation for a pipe using euler parameters
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 1998-01-01
description A pipe element developed earlier for the analysis of combined large bending and torsional deformations of blood vessels under static loading is extended to model behavior in the presence of large rotations and time-varying external forces. As in the case of the earlier element, the enhanced element supports ovalization and warping of its cross-section. The enhancements presented in this paper are comprised of a mass matrix and gyroscopic effects resulting from fast rotation rates and large deformations. The effectiveness of the element is demonstrated by two examples, which simulate the three-dimensional behavior of a highly flexible pipe under dynamic loading conditions.
url http://dx.doi.org/10.1155/1998/695302
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