Spatial and temporal reconstruction of unsteady rotating forces through an inverse acoustic method

Ying Xu, Xiao Zheng Zhang, Damiano Casalino, Chuan Xing Bi*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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An inverse acoustic method is presented in this work, which allows to determine the spatial and temporal distribution of unsteady rotating forces from microphone array measurements. The method is based on the usage of a space–time regularization with a mixed norm. The proposed method can take advantage of a prior knowledge of the space–time characteristics of the unsteady rotating forces to ensure an accurate force reconstruction in real-time, using a smaller number of input signals compared to more conventional inverse methods. Different properties of the proposed method are initially investigated by using synthetic acoustic signals radiated from rotating point sources and computed via an acoustic analogy formulation. Finally, the method is validated by using experimental acoustic signals radiated from the rotor of an unmanned aerial vehicle.

Original languageEnglish
Article number110596
Number of pages19
JournalMechanical Systems and Signal Processing
Publication statusPublished - 2023

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Space-time regularization
  • Time-domain inverse method
  • Unsteady rotating force


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