@article{93da3a1ea3624588b103794e192fc020,
title = "A method to estimate the rectangular orthotropic plate elastic constants using least-squares and Chladni patterns",
abstract = "A method to retrieve the elastic constants of rectangular wooden plates is presented, relying on the measurement of a set of eigenfrequencies and the identification of the corresponding mode shapes, and belonging to the more general category of non-destructive inverse parameter estimation methods. Compared to previous work, the current method is effective with any choice of boundary conditions. Furthermore, the error function is linear in the elastic constants, which may be computed easily via a matrix inversion. This framework lends itself naturally to a physical interpretation of the results in terms of linear combinations of eigenmodes, yielding new sets of modes and associated combined mode shapes in which the elastic constants are completely uncoupled. Several numerical benchmark tests and experimental cases are treated in detail, highlighting the reliability of the proposed methodology in cases of interest in acoustics and musical acoustics.",
keywords = "Guitar acoustics, Inverse methods, Least-square optimisation, Orthotropic plates, Young's modulus",
author = "Michele Ducceschi and Sebastian Duran and Henna Tahvanainen and Ludovico Ausiello",
note = "Funding Information: This work received funding from the European Research Council (ERC) under the Horizon2020 framework, grant number 950084 - StG - NEMUS. Francesco Vai and Roberto Budini from the Department of Industrial Engineering at the University of Bologna are kindly acknowledged for designing and building the impact hammer pendulum. Ciresa is kindly acknowledged for assisting in selecting the Fiemme Valley tonewood. Master luthier Pekka Lovikka is thanked for providing the Finnish tonewood samples. Funding Information: This work received funding from the European Research Council (ERC) under the Horizon2020 framework, grant number 950084 - StG - NEMUS . Francesco Vai and Roberto Budini from the Department of Industrial Engineering at the University of Bologna are kindly acknowledged for designing and building the impact hammer pendulum. Ciresa is kindly acknowledged for assisting in selecting the Fiemme Valley tonewood. Master luthier Pekka Lovikka is thanked for providing the Finnish tonewood samples. Publisher Copyright: {\textcopyright} 2024 The Author(s)",
year = "2024",
month = apr,
day = "15",
doi = "10.1016/j.apacoust.2024.109949",
language = "English",
volume = "220",
journal = "Applied Acoustics",
issn = "0003-682X",
publisher = "Elsevier",
}