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2023 | OriginalPaper | Buchkapitel

9. Quantification of Bias Errors Influence in Frequency Based Substructuring Using Sensitivity Analysis

verfasst von : Gregor Čepon, Domen Ocepek, Jure Korbar, Tomaž Bregar, Miha Boltežar

Erschienen in: Dynamic Substructures, Volume 4

Verlag: Springer International Publishing

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Abstract

The methodology to divide complex systems into several subsystems is a common practice in the field of structural dynamics. Structural dynamic analyses can be carried out more efficiently if subsystems are analysed separately and later coupled using dynamic substructuring techniques. However a reliable experimental application of frequency based substructuring (FBS) remains a challenge as it requires highly accurate acquisition of subsystems’ frequency response functions (FRFs). Even a small error from the measurement campaign can yield erroneous coupling results. The measurement errors can be either random or systematic, with the latter often referred to as bias. Impact excitation is popular in dynamic substructuring due to the fast FRF calculation for each impact location. However, deviations in the location of excitation as a typical example of measurement bias affect the FRFs throughout the whole frequency range.
This paper proposes a novel methodology to characterize bias errors in FBS based on the small deviations in impact excitation from typical experimental measurements. The deviations are utilized to reconstruct a range of bias-affected FRFs. These are then used in the global sensitivity analysis in order to characterize how each impact location affects an arbitrary quality indicator, such as FRFs reciprocity or passivity. Therefore, the effect of bias can be evaluated directly from a single measurement campaign, without the need for a numerical model. The proposed approach is shown on a synthetic numerical example, where the advantages and limitations are outlined. Virtual point transformation is applied to obtain admittance matrix at the substructures’ interfaces. Hence, virtual point reciprocity is proposed as a criterion to quantify bias error influence. Finally, an application of frequency based substructuring on beam-like structure is depicted.

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Literatur
1.
Zurück zum Zitat De Klerk, D., Rixen, D., Voormeeren, S.: General framework for dynamic substructuring: history, review and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef De Klerk, D., Rixen, D., Voormeeren, S.: General framework for dynamic substructuring: history, review and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)CrossRef
2.
Zurück zum Zitat Rixen, D.: How measurement inaccuracies induce spurious peaks in frequency based substructuring. In: Proceedings of the Twenty Sixth International Modal Analysis Conference, Orlando. Society for Experimental Mechanics, Bethel (2008) Rixen, D.: How measurement inaccuracies induce spurious peaks in frequency based substructuring. In: Proceedings of the Twenty Sixth International Modal Analysis Conference, Orlando. Society for Experimental Mechanics, Bethel (2008)
3.
Zurück zum Zitat De Klerk, D.: How bias errors affect experimental dynamic substructuring. In: Structural Dynamics, vol. 3, pp. 1101–1112. Berlin, Springer (2011) De Klerk, D.: How bias errors affect experimental dynamic substructuring. In: Structural Dynamics, vol. 3, pp. 1101–1112. Berlin, Springer (2011)
4.
Zurück zum Zitat A. Saltelli, Making best use of model evaluations to compute sensitivity indices. Comput. Phys. Commun. 145(2), 280–297 (2002)CrossRef A. Saltelli, Making best use of model evaluations to compute sensitivity indices. Comput. Phys. Commun. 145(2), 280–297 (2002)CrossRef
5.
Zurück zum Zitat I.M. Sobol, Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math. Comput. Simul. 55(1–3), 271–280 (2001)MathSciNetCrossRef I.M. Sobol, Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math. Comput. Simul. 55(1–3), 271–280 (2001)MathSciNetCrossRef
6.
Zurück zum Zitat van der Seijs, M., van den Bosch, D., Rixen, D., de Klerk, D.: An improved methodology for the virtual point transformation of measured frequency response functions in dynamic substructuring. COMPDYN (2013) van der Seijs, M., van den Bosch, D., Rixen, D., de Klerk, D.: An improved methodology for the virtual point transformation of measured frequency response functions in dynamic substructuring. COMPDYN (2013)
7.
Zurück zum Zitat Bregar, T., Holeček, N., Čepon, G., Rixen, D., Boltežar, M.: Including directly measured rotations in the virtual point transformation. Mech. Syst. Signal Process. 141, 106440 (2020)CrossRef Bregar, T., Holeček, N., Čepon, G., Rixen, D., Boltežar, M.: Including directly measured rotations in the virtual point transformation. Mech. Syst. Signal Process. 141, 106440 (2020)CrossRef
Metadaten
Titel
Quantification of Bias Errors Influence in Frequency Based Substructuring Using Sensitivity Analysis
verfasst von
Gregor Čepon
Domen Ocepek
Jure Korbar
Tomaž Bregar
Miha Boltežar
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-04094-8_9