On the choice of condensation functions for mid-to-high frequency vibroacoustic modelling

Zhongyu Hu, Li Cheng, Laurent Maxit

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


The analysis of vibro-acoustic systems in the mid-to-high frequency range is computational costly and technically challenging. Sub-structuring methods are often employed in such cases, which allow reducing the number of degrees of freedoms at the interface between sub-systems. In the same category, the Condensed Transfer Function (CTF) approach has previously been proposed, to be improved and further explored in this paper. In the CTF approach, the uncoupled sub-sys-tems are first modelled separately, by approximating the force and the velocity distribution over the coupling surface by a set of so-called condensation functions. By applying the force equilib-rium and velocity continuity conditions, the overall system can be assembled and solved accord-ingly. In this paper, a panel-cavity system is modelled with the CTF approach, in a wide frequency band which covers the critical frequency of the panel and embraces a relatively high modal den-sity. It is demonstrated that the calculation efficiency of the CTF method can be greatly increased by properly selecting the condensation functions and exploring their physical characters. As a result, the previously established convergence rule based on the gate functions can be relaxed. More specifically, the condensation functions such as exponential functions exhibit strong phys-ical features. For a given frequency band, the condensation functions that match the structural wavelength properties dominate the system response. Therefore, the velocity and energy distri-bution on the coupling surface can be described by only a subset of the CTFs involving only a few terms. This leads to a significant reduction of the matrix size to be solved and consequently an increased computational efficiency.
Original languageEnglish
Title of host publication24th International Congress on Sound and Vibration, ICSV 2017
PublisherInternational Institute of Acoustics and Vibration, IIAV
Publication statusPublished - 1 Jan 2017
Event24th International Congress on Sound and Vibration, ICSV 2017 - London, United Kingdom
Duration: 23 Jul 201727 Jul 2017


Conference24th International Congress on Sound and Vibration, ICSV 2017
Country/TerritoryUnited Kingdom


  • Mid-to-high frequency
  • Sub-structuring method
  • Vibro-acoustic

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


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