Dynamics of an Euler Elastica Pipe with Internal Flow of Fluid

Hans Irschik; Michael Stangl

doi:10.1002/pamm.200610149

Dynamics of an Euler Elastica Pipe with Internal Flow of Fluid

Hans Irschik, Michael Stangl

Institute of Technical Mechanics

Research output: Contribution to journal › Article › peer-review

Abstract

The equations of motion for a cantilever Euler elastica pipe are deduced applying a generalized set of Lagrange equations for non-material volumes. Based on an exact planar nonlinear beam theory the strain energy for the pipe is derived. The classical Lagrange terms and the additional terms due to moving mass entering and exiting the system result in a set of nonlinear equations of motion for the cantilever pipe with internal flow. A possible dimensional reduction and comparison to existing works are performed.

Original language	English
Pages (from-to)	335-336
Number of pages	2
Journal	PAMM - Proceedings in Applied Mathematics and Mechanics
Volume	6
Issue number	1
DOIs	https://doi.org/10.1002/pamm.200610149
Publication status	Published - Dec 2006

Fields of science

103035 Theoretical mechanics

Access to Document

10.1002/pamm.200610149

K+: Linz Center of Competence in Mechatronics (LCM)- Projekt 4.4: Combination of Symbolic and Numerical Computations in the Dynamics and Control of Machines (MBD-Analysis, FEComputations and MATLAB/SIMULINK Computations)
Bremer, H. (Researcher), Dibold, M. (Researcher), Hingerl, K. (Researcher), Holl, H. (Researcher), Manhartsgruber, B. (Researcher), Scheidl, R. (Researcher), Schlacher, K. (Researcher) & Irschik, H. (PI)
01.01.2001 → 01.12.2004
Project: Funded research › Federal / regional / local authorities

Cite this

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title = "Dynamics of an Euler Elastica Pipe with Internal Flow of Fluid",

abstract = "The equations of motion for a cantilever Euler elastica pipe are deduced applying a generalized set of Lagrange equations for non-material volumes. Based on an exact planar nonlinear beam theory the strain energy for the pipe is derived. The classical Lagrange terms and the additional terms due to moving mass entering and exiting the system result in a set of nonlinear equations of motion for the cantilever pipe with internal flow. A possible dimensional reduction and comparison to existing works are performed.",

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AB - The equations of motion for a cantilever Euler elastica pipe are deduced applying a generalized set of Lagrange equations for non-material volumes. Based on an exact planar nonlinear beam theory the strain energy for the pipe is derived. The classical Lagrange terms and the additional terms due to moving mass entering and exiting the system result in a set of nonlinear equations of motion for the cantilever pipe with internal flow. A possible dimensional reduction and comparison to existing works are performed.

U2 - 10.1002/pamm.200610149

DO - 10.1002/pamm.200610149

M3 - Article

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Dynamics of an Euler Elastica Pipe with Internal Flow of Fluid

Abstract

Fields of science

Access to Document

Projects

K+: Linz Center of Competence in Mechatronics (LCM)- Projekt 4.4: Combination of Symbolic and Numerical Computations in the Dynamics and Control of Machines (MBD-Analysis, FEComputations and MATLAB/SIMULINK Computations)

Cite this

K+: Linz Center of Competence in Mechatronics (LCM)- Projekt 4.4: Combination of Symbolic and Numerical Computations in the Dynamics and Control of Machines (MBD-Analysis, FEComputations and MATLAB/SIMULINK Computations)