Vibrations of a 3-Dimensional Piping System

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TADINA, Matej ;BOLTEŽAR, Miha .
Vibrations of a 3-Dimensional Piping System. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 53, n.6, p. 386-398, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/>. Date accessed: 20 jun. 2021. 
doi:http://dx.doi.org/.
Tadina, M., & Boltežar, M.
(2007).
Vibrations of a 3-Dimensional Piping System.
Strojniški vestnik - Journal of Mechanical Engineering, 53(6), 386-398.
doi:http://dx.doi.org/
@article{.,
	author = {Matej  Tadina and Miha  Boltežar},
	title = {Vibrations of a 3-Dimensional Piping System},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {6},
	year = {2007},
	keywords = {piping systems; vibration analysis; modeling; transfer-matrix method; },
	abstract = {This paper briefly presents the transfer-matrix method (TMM) for the vibration analysis of a 3- dimensional piping system. The transfer matrix of a curved pipe with fluid was derived based on the exact solution of the governing equations, where the axial deformability was also taken into account. Only the steady-state response for the case of harmonic excitations was analyzed. With the formulation of the transfer matrix for a straight pipe and for a curved pipe, a 3-dimensional complex piping system can be easily modeled. The inviscid fluid-dynamic forces were derived according to the plug-flow approximation and the slender-body theory. As shown in a numerical example of a 3-dimesional piping system the comparison of the transfer function obtained with the finite-element method (FEM) and the TMM is quite good. On the basis of a comparison of the experimental results and the results obtained with the TMM, the correctness of the method was confirmed. It was also shown that the TMM is significantly faster than the FEM.},
	issn = {0039-2480},	pages = {386-398},	doi = {},
	url = {https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/}
}
Tadina, M.,Boltežar, M.
2007 August 53. Vibrations of a 3-Dimensional Piping System. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 53:6
%A Tadina, Matej 
%A Boltežar, Miha 
%D 2007
%T Vibrations of a 3-Dimensional Piping System
%B 2007
%9 piping systems; vibration analysis; modeling; transfer-matrix method; 
%! Vibrations of a 3-Dimensional Piping System
%K piping systems; vibration analysis; modeling; transfer-matrix method; 
%X This paper briefly presents the transfer-matrix method (TMM) for the vibration analysis of a 3- dimensional piping system. The transfer matrix of a curved pipe with fluid was derived based on the exact solution of the governing equations, where the axial deformability was also taken into account. Only the steady-state response for the case of harmonic excitations was analyzed. With the formulation of the transfer matrix for a straight pipe and for a curved pipe, a 3-dimensional complex piping system can be easily modeled. The inviscid fluid-dynamic forces were derived according to the plug-flow approximation and the slender-body theory. As shown in a numerical example of a 3-dimesional piping system the comparison of the transfer function obtained with the finite-element method (FEM) and the TMM is quite good. On the basis of a comparison of the experimental results and the results obtained with the TMM, the correctness of the method was confirmed. It was also shown that the TMM is significantly faster than the FEM.
%U https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/
%0 Journal Article
%R 
%& 386
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 53
%N 6
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Tadina, Matej, & Miha  Boltežar.
"Vibrations of a 3-Dimensional Piping System." Strojniški vestnik - Journal of Mechanical Engineering [Online], 53.6 (2007): 386-398. Web.  20 Jun. 2021
TY  - JOUR
AU  - Tadina, Matej 
AU  - Boltežar, Miha 
PY  - 2007
TI  - Vibrations of a 3-Dimensional Piping System
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - piping systems; vibration analysis; modeling; transfer-matrix method; 
N2  - This paper briefly presents the transfer-matrix method (TMM) for the vibration analysis of a 3- dimensional piping system. The transfer matrix of a curved pipe with fluid was derived based on the exact solution of the governing equations, where the axial deformability was also taken into account. Only the steady-state response for the case of harmonic excitations was analyzed. With the formulation of the transfer matrix for a straight pipe and for a curved pipe, a 3-dimensional complex piping system can be easily modeled. The inviscid fluid-dynamic forces were derived according to the plug-flow approximation and the slender-body theory. As shown in a numerical example of a 3-dimesional piping system the comparison of the transfer function obtained with the finite-element method (FEM) and the TMM is quite good. On the basis of a comparison of the experimental results and the results obtained with the TMM, the correctness of the method was confirmed. It was also shown that the TMM is significantly faster than the FEM.
UR  - https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/
@article{{}{.},
	author = {Tadina, M., Boltežar, M.},
	title = {Vibrations of a 3-Dimensional Piping System},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {6},
	year = {2007},
	doi = {},
	url = {https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/}
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TY  - JOUR
AU  - Tadina, Matej 
AU  - Boltežar, Miha 
PY  - 2017/08/18
TI  - Vibrations of a 3-Dimensional Piping System
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 53, No 6 (2007): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - piping systems, vibration analysis, modeling, transfer-matrix method, 
N2  - This paper briefly presents the transfer-matrix method (TMM) for the vibration analysis of a 3- dimensional piping system. The transfer matrix of a curved pipe with fluid was derived based on the exact solution of the governing equations, where the axial deformability was also taken into account. Only the steady-state response for the case of harmonic excitations was analyzed. With the formulation of the transfer matrix for a straight pipe and for a curved pipe, a 3-dimensional complex piping system can be easily modeled. The inviscid fluid-dynamic forces were derived according to the plug-flow approximation and the slender-body theory. As shown in a numerical example of a 3-dimesional piping system the comparison of the transfer function obtained with the finite-element method (FEM) and the TMM is quite good. On the basis of a comparison of the experimental results and the results obtained with the TMM, the correctness of the method was confirmed. It was also shown that the TMM is significantly faster than the FEM.
UR  - https://www.sv-jme.eu/article/vibrations-of-a-3-dimensional-piping-system/
Tadina, Matej, AND Boltežar, Miha.
"Vibrations of a 3-Dimensional Piping System" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 53 Number 6 (18 August 2017)

Authors

Affiliations

  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia
  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 53(2007)6, 386-398

This paper briefly presents the transfer-matrix method (TMM) for the vibration analysis of a 3- dimensional piping system. The transfer matrix of a curved pipe with fluid was derived based on the exact solution of the governing equations, where the axial deformability was also taken into account. Only the steady-state response for the case of harmonic excitations was analyzed. With the formulation of the transfer matrix for a straight pipe and for a curved pipe, a 3-dimensional complex piping system can be easily modeled. The inviscid fluid-dynamic forces were derived according to the plug-flow approximation and the slender-body theory. As shown in a numerical example of a 3-dimesional piping system the comparison of the transfer function obtained with the finite-element method (FEM) and the TMM is quite good. On the basis of a comparison of the experimental results and the results obtained with the TMM, the correctness of the method was confirmed. It was also shown that the TMM is significantly faster than the FEM.

piping systems; vibration analysis; modeling; transfer-matrix method;