Fast estimation of wood elastic constants using least-squares

Sebastian Duran; Michele Ducceschi; Henna Tahvanainen; Ludovico Ausiello

Fast estimation of wood elastic constants using least-squares

Sebastian Duran, Michele Ducceschi, Henna Tahvanainen, Ludovico Ausiello

University of Bologna

Research output: Contribution to conference › Paper › peer-review

38 Downloads (Pure)

Abstract

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 language	English
Number of pages	8
Publication status	Published - 12 Sept 2023
Event	Forum Acusticum 2023: Acoustics for a green world - Politecnico di Torino, Turin, Italy Duration: 11 Sept 2023 → 15 Sept 2023 https://www.fa2023.org/

Conference

Conference	Forum Acusticum 2023
Country/Territory	Italy
City	Turin
Period	11/09/23 → 15/09/23
Internet address	https://www.fa2023.org/

Keywords

experimental modal analysis
finite element method
tonewood
elastic constants

Access to Document

Fast estimation of wood elastic constants using least-squaresFinal published version, 3.01 MBLicence: CC BY

Acoustic instruments measurements and innovative manufacturing
Ausiello, L. (PI), Sanders, D. (Team Member), Becerra, V. (Team Member) & Squicciarini, G. (CoI)
1/03/18 → …
Project: Research

Cite this

@conference{1bd44555c0c140acbae374c356fdb2eb,

title = "Fast estimation of wood elastic constants using least-squares",

abstract = "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.",

keywords = "experimental modal analysis, finite element method, tonewood, elastic constants",

author = "Sebastian Duran and Michele Ducceschi and Henna Tahvanainen and Ludovico Ausiello",

note = "Located on the webpage in: A07-02: Experimental methods for music acoustics - Part I No ISSN; Forum Acusticum 2023 : Acoustics for a green world ; Conference date: 11-09-2023 Through 15-09-2023",

year = "2023",

month = sep,

day = "12",

language = "English",

url = "https://www.fa2023.org/",

}

TY - CONF

T1 - Fast estimation of wood elastic constants using least-squares

AU - Duran, Sebastian

AU - Ducceschi, Michele

AU - Tahvanainen, Henna

AU - Ausiello, Ludovico

N1 - Located on the webpage in: A07-02: Experimental methods for music acoustics - Part I No ISSN

PY - 2023/9/12

Y1 - 2023/9/12

N2 - 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.

AB - 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.

KW - experimental modal analysis

KW - finite element method

KW - tonewood

KW - elastic constants

M3 - Paper

T2 - Forum Acusticum 2023

Y2 - 11 September 2023 through 15 September 2023

ER -

Fast estimation of wood elastic constants using least-squares

Abstract

Conference

Keywords

Access to Document

Fingerprint

Projects

Acoustic instruments measurements and innovative manufacturing

Cite this