Linear free vibrations with uncertain initial conditions

Arthur Seibel; Josef Schlattmann

Linear free vibrations with uncertain initial conditions

Arthur Seibel
, Josef Schlattmann

Technische Universität Hamburg

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

Abstract

We study a one degree of freedom, linear free vibrating mass system where there is uncertainty about how the system starts off. The uncertain initial conditions are modeled by fuzzy numbers and an analytical approach is used to propagate the uncertainties through the computations. As a result, we obtain closed-form symbolic expressions for the whole spectrum of possible calculation results.

Originalsprache	Englisch
Titel	Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics
Redakteure/-innen	P. Sas, D. Moens, H. Denayer
Seitenumfang	14
Herausgeber (Verlag)	KU Leuven
Erscheinungsdatum	2014
Seiten	4467-4480
ISBN (elektronisch)	978-90-73802-91-9
Publikationsstatus	Erschienen - 2014
Extern publiziert	Ja
Veranstaltung	26th International Conference on Noise and Vibration Engineering - Leuven, Belgien Dauer: 15.09.2014 → 17.09.2014 Konferenznummer: 26 https://past.isma-isaac.be/isma2014/

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Seibel, A., & Schlattmann, J. (2014). Linear free vibrations with uncertain initial conditions. in P. Sas, D. Moens, & H. Denayer (Hrsg.), Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics (S. 4467-4480). (Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics). KU Leuven.

Seibel, Arthur ; Schlattmann, Josef. / Linear free vibrations with uncertain initial conditions. Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / P. Sas ; D. Moens ; H. Denayer. KU Leuven, 2014. S. 4467-4480 (Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics).

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title = "Linear free vibrations with uncertain initial conditions",

abstract = "We study a one degree of freedom, linear free vibrating mass system where there is uncertainty about how the system starts off. The uncertain initial conditions are modeled by fuzzy numbers and an analytical approach is used to propagate the uncertainties through the computations. As a result, we obtain closed-form symbolic expressions for the whole spectrum of possible calculation results.",

keywords = "Engineering",

author = "Arthur Seibel and Josef Schlattmann",

year = "2014",

language = "English",

series = "Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics",

publisher = "KU Leuven",

pages = "4467--4480",

editor = "P. Sas and D. Moens and H. Denayer",

booktitle = "Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics",

address = "Netherlands",

note = "26th International Conference on Noise and Vibration Engineering, ISMA2014 ; Conference date: 15-09-2014 Through 17-09-2014",

url = "https://past.isma-isaac.be/isma2014/",

}

Seibel, A & Schlattmann, J 2014, Linear free vibrations with uncertain initial conditions. in P Sas, D Moens & H Denayer (Hrsg.), Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics. Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics, KU Leuven, S. 4467-4480, 26th International Conference on Noise and Vibration Engineering, Leuven, Belgien, 15.09.14.

Linear free vibrations with uncertain initial conditions. / Seibel, Arthur; Schlattmann, Josef.
Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics. Hrsg. / P. Sas; D. Moens; H. Denayer. KU Leuven, 2014. S. 4467-4480 (Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics).

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

TY - CHAP

T1 - Linear free vibrations with uncertain initial conditions

AU - Seibel, Arthur

AU - Schlattmann, Josef

N1 - Conference code: 26

PY - 2014

Y1 - 2014

N2 - We study a one degree of freedom, linear free vibrating mass system where there is uncertainty about how the system starts off. The uncertain initial conditions are modeled by fuzzy numbers and an analytical approach is used to propagate the uncertainties through the computations. As a result, we obtain closed-form symbolic expressions for the whole spectrum of possible calculation results.

AB - We study a one degree of freedom, linear free vibrating mass system where there is uncertainty about how the system starts off. The uncertain initial conditions are modeled by fuzzy numbers and an analytical approach is used to propagate the uncertainties through the computations. As a result, we obtain closed-form symbolic expressions for the whole spectrum of possible calculation results.

KW - Engineering

UR - https://www.scopus.com/pages/publications/84913610299

UR - https://www.proceedings.com/24194.html

M3 - Article in conference proceedings

AN - SCOPUS:84913610299

T3 - Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics

SP - 4467

EP - 4480

BT - Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics

A2 - Sas, P.

A2 - Moens, D.

A2 - Denayer, H.

PB - KU Leuven

T2 - 26th International Conference on Noise and Vibration Engineering

Y2 - 15 September 2014 through 17 September 2014

ER -

Seibel A, Schlattmann J. Linear free vibrations with uncertain initial conditions. in Sas P, Moens D, Denayer H, Hrsg., Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics. KU Leuven. 2014. S. 4467-4480. (Proceedings of ISMA 2014 - International Conference on Noise and Vibration Engineering and USD 2014 - International Conference on Uncertainty in Structural Dynamics).

Linear free vibrations with uncertain initial conditions

Abstract

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