Skip to main content
Erschienen in:

2023 | OriginalPaper | Buchkapitel

1. Uncertainty in Power Flow Due to Measurement Errors in Virtual Point Transformation for Frequency-Based Substructuring

verfasst von : Jon Young, Kyle Myers

Erschienen in: Dynamic Substructures, Volume 4

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Experimental substructuring by means of virtual point transformation (VPT) can be utilized to implicitly account for rotational degrees of freedom (DOFs) at the coupling boundary of a given substructure. Measured frequency response functions (FRFs) are cast onto a “virtual” node containing three translational and three rotational DOFs via a projection matrix, which is determined by geometric relations between impact and response locations on the structure. In this study, the uncertainty of power flow due to measurement errors in the projection matrix and FRFs is quantified by means of Monte-Carlo simulation. This is performed on a numerical model of two beam structures and is then compared to experimentally obtained data using an impact modal test. Upper and lower bounds on the broadband power flow are created using these data. It is shown that closely space modes lead to high variability in the calculation of power flow near resonance even for small measurement errors. Metrics for analyzing the quality of the virtual point transformation are discussed, as well. This work is beneficial to understanding how experimental errors manifest in the calculation of power flow between coupled structures.

Sie möchten Zugang zu diesem Inhalt erhalten? Dann informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat de Klerk, D., Rixen, D.J., Voormeeren, S.N.: General framework for dynamic substructuring: history, review and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef de Klerk, D., Rixen, D.J., Voormeeren, S.N.: General framework for dynamic substructuring: history, review and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef
2.
Zurück zum Zitat Jetmundsen, B., Bielawa, R.L., Flannelly, W.G.: Generalized frequency domain substructure synthesis. J. Am. Helicop. Soc. 33(1), 55–64 (1988)CrossRef Jetmundsen, B., Bielawa, R.L., Flannelly, W.G.: Generalized frequency domain substructure synthesis. J. Am. Helicop. Soc. 33(1), 55–64 (1988)CrossRef
3.
Zurück zum Zitat de Klerk, D., Rixen, D.J., de Jong, J.: The frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method. In: Proceedings of the 24th International Modal Analysis Conference, A Conference on Structural Dynamics (2006) de Klerk, D., Rixen, D.J., de Jong, J.: The frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method. In: Proceedings of the 24th International Modal Analysis Conference, A Conference on Structural Dynamics (2006)
4.
Zurück zum Zitat Van der Valk, P.L.C., Van Wuijckhuijse, J.B., De Klerk, D.: A benchmark test structure for experimental dynamic substructuring. In: Structural Dynamics, vol. 3, pp. 1113–1122. Springer, New York (2011) Van der Valk, P.L.C., Van Wuijckhuijse, J.B., De Klerk, D.: A benchmark test structure for experimental dynamic substructuring. In: Structural Dynamics, vol. 3, pp. 1113–1122. Springer, New York (2011)
5.
Zurück zum Zitat Trainotti, F., Berninger, T.F.C., Rixen, D.J.: Using laser vibrometry for precise FRF measurements in experimental substructuring. In: Dynamic Substructures, vol. 4, pp. 1–11. Springer, Cham (2020) Trainotti, F., Berninger, T.F.C., Rixen, D.J.: Using laser vibrometry for precise FRF measurements in experimental substructuring. In: Dynamic Substructures, vol. 4, pp. 1–11. Springer, Cham (2020)
6.
Zurück zum Zitat Pasma, E.A., et al.: Frequency based substructuring with the virtual point transformation, flexible interface modes and a transmission simulator. In: Dynamics of Coupled Structures, vol. 4, pp. 205–213. Springer, Cham (2018)CrossRef Pasma, E.A., et al.: Frequency based substructuring with the virtual point transformation, flexible interface modes and a transmission simulator. In: Dynamics of Coupled Structures, vol. 4, pp. 205–213. Springer, Cham (2018)CrossRef
7.
Zurück zum Zitat van der Seijs, M. Experimental Dynamic Substructuring: Analysis and Design Strategies for Vehicle Development (2016) van der Seijs, M. Experimental Dynamic Substructuring: Analysis and Design Strategies for Vehicle Development (2016)
8.
Zurück zum Zitat Allen, M.S., et al.: Substructuring in Engineering Dynamics. Springer, Cham (2020)CrossRef Allen, M.S., et al.: Substructuring in Engineering Dynamics. Springer, Cham (2020)CrossRef
9.
Zurück zum Zitat van der Seijs, M.V., et al. An improved methodology for the virtual point transformation of measured frequency response functions in dynamic substructuring. In: 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, No. 4 (2013) van der Seijs, M.V., et al. An improved methodology for the virtual point transformation of measured frequency response functions in dynamic substructuring. In: 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, No. 4 (2013)
10.
Zurück zum Zitat Barten, E., van der Seijs, M.V., de Klerk, D.: A complex power approach to characterise joints in experimental dynamic substructuring. In: Dynamics of Coupled Structures, vol. 1, pp. 281–296. Springer, Cham (2014)CrossRef Barten, E., van der Seijs, M.V., de Klerk, D.: A complex power approach to characterise joints in experimental dynamic substructuring. In: Dynamics of Coupled Structures, vol. 1, pp. 281–296. Springer, Cham (2014)CrossRef
Metadaten
Titel
Uncertainty in Power Flow Due to Measurement Errors in Virtual Point Transformation for Frequency-Based Substructuring
verfasst von
Jon Young
Kyle Myers
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-04094-8_1