Vibro-acoustic analysis of cellos using the finite and boundary element methods and its application to studies on the effects of endpin properties

Sakai, S.; Samejima, Toshiya

doi:10.1250/ast.44.259

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…Physical modeling has become one of the major fields in research concentrating on properties that are important for instrument building and musical performance [8]. Some of the most prominent methods are the boundary element method (BEM) [9], Finite Difference Method (FDM) [10] and finite element method (FEM), with the latter two being the most used. Collectively, more information about physical modeling of musical instruments can be found in [11].…”

Section: Introductionmentioning

confidence: 99%

FEM Investigation of the Air Resonance in a Cretan Lyra

Papadakis,

Nikolidakis,

Stavroulakis

2023

Vibration

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Cretan lyra is a stringed instrument very popular on the island of Crete, Greece, and an important part of its musical tradition. For stringed musical instruments, the air mode resonance plays a vital part in their sound, especially in the low frequency range. For this study, the air mode resonance of a Cretan lyra is investigated with the use of finite element method (FEM). Two different FEM acoustic models were utilized: First, a pressure acoustics model with the Cretan lyra body treated as rigid was used to provide an approximate result. Secondly, an acoustic–structure interaction model was applied for a more accurate representation. In addition, acoustic measurements were performed to identify the air mode resonance frequency. The results of this study reveal that the acoustic–structure interaction model has a 3.7% difference regarding the actual measurements of the resonance frequency. In contrast, the pressure acoustics solution is approximately 13.8% too high compared with the actual measurements. Taken together, the findings of this study support the idea that utilizing the FEM acoustic–structure interaction models could possibly predict the vibroacoustic behavior of musical instruments more accurately, which in turn can enable the determination of key aspects that can be used to control the instrument’s tone and sound quality.

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Section: Introductionmentioning

confidence: 99%

FEM Investigation of the Air Resonance in a Cretan Lyra

Papadakis,

Nikolidakis,

Stavroulakis

2023

Vibration

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Internal Structure and Natural Frequency of Cello Endpins Based on Metal-Incorporated Carbon Composites Fabricated by Roll-Wrapping Process

Cho,

Jang,

Yoo

et al. 2024

Fibers Polym

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FEM Investigation of the Air Resonance in a Cretan Lyra

Papadakis,

Nikolidakis,

Stavroulakis

2023

Preprint

View full text Add to dashboard Cite

Cretan lyra is a stringed instrument very popular on the island of Crete, Greece and an important part of its musical tradition. For stringed musical instruments, the air mode resonance plays a vital part in their sound, especially in the low frequency range. For this study, the air mode resonance of a Cretan lyra is investigated with the use of finite element method (FEM). Two different FEM acoustic models were utilized: first, a pressure acoustics model with the Cretan lyra body treated as rigid was used to provide an approximate result; secondly, an acoustic-structure interaction model was applied for a more accurate representation. In addition, acoustic measurements were performed to identify the air mode resonance frequency. Results of this study reveal that the acoustic-structure interaction model has a 3.7% difference regarding the actual measurements of the resonance frequency. In contrast, the pressure acoustics solution is approximately 13.8% too high compared with the actual measurements. Taken together, findings of this study support the idea that utilizing FEM acoustic-structure interaction models could possibly predict more accurately the vibroacoustic behavior of musical instruments, which in turn can enable the determination of key aspects that can be used to control the instrument’s tone and sound quality.

show abstract

Vibro-acoustic analysis of cellos using the finite and boundary element methods and its application to studies on the effects of endpin properties

Cited by 3 publications

References 9 publications

FEM Investigation of the Air Resonance in a Cretan Lyra

FEM Investigation of the Air Resonance in a Cretan Lyra

Internal Structure and Natural Frequency of Cello Endpins Based on Metal-Incorporated Carbon Composites Fabricated by Roll-Wrapping Process

FEM Investigation of the Air Resonance in a Cretan Lyra

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