Fast estimation of wood elastic constants using least-squares

Sebastian Duran, Michele Ducceschi, Henna Tahvanainen, Ludovico Ausiello

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Mechanical properties of materials are of extreme relevance in musical acoustics. Such features can be used to better understand the behaviour of musical instruments or to evaluate the impact of design interventions, and build accurate physical models. In this regard, this paper aims to introduce an accessible procedure to estimate the elastic constants of wood using a thin plate. Compared to previous methods in the literature, the inverse problem is here formulated linearly in the rigidity constants, thus allowing a unique solution via a matrix inverse, and using a least-squares formulation. The reliability of the method is numerically proven in a number of examples.
Original languageEnglish
Number of pages8
Publication statusPublished - 12 Sept 2023
EventForum Acusticum 2023: Acoustics for a green world - Politecnico di Torino, Turin, Italy
Duration: 11 Sept 202315 Sept 2023


ConferenceForum Acusticum 2023
Internet address


  • experimental modal analysis
  • finite element method
  • tonewood
  • elastic constants

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