A consistent dynamic finite element formulation for a pipe using Euler parameters

Ara - Arabyan, Yaqun Jiang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)111-117
Number of pages7
JournalShock and Vibration
Volume5
Issue number2
StatePublished - 1998

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pipe
Pipe
formulations
blood vessels
Blood vessels
vessel
cross section
blood
matrix
augmentation
cross sections
matrices
parameter
analysis
rate
effect

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials
  • Acoustics and Ultrasonics

Cite this

A consistent dynamic finite element formulation for a pipe using Euler parameters. / Arabyan, Ara -; Jiang, Yaqun.

In: Shock and Vibration, Vol. 5, No. 2, 1998, p. 111-117.

Research output: Contribution to journalArticle

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