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Parametric plate-bridge dynamic filter model of violin radiativity
1East Carolina University, Greenville, North Carolina 27858, USA. bissingerg@ecu.edu
The Journal of the Acoustical Society of America
|July 12, 2012
Summary
This study introduces a dynamic filter model for violin acoustic radiation, revealing that bridge tuning significantly impacts sound output more than plate tuning. This research offers insights into violin acoustics and instrument design.
Area of Science:
- Acoustics
- Musical Instrument Physics
- Vibrational Analysis
Background:
- Understanding the acoustic radiation of musical instruments like the violin is crucial for design and performance.
- The violin's radiativity profile, influenced by vibrations and radiation efficiency, is complex and depends on various physical parameters.
Purpose of the Study:
- To develop a hybrid, deterministic-statistical, parametric "dynamic filter" model for the violin's radiativity profile.
- To investigate the relative impact of plate tuning versus bridge tuning on the violin's acoustic radiation characteristics.
Main Methods:
- A hybrid model integrating deterministic and statistical approaches was created, characterizing radiativity based on mobility and radiation efficiency.
- Empirical trend lines and dual-Helmholtz resonator models were used for low-frequency analysis, while statistical mobility functions addressed mid-high frequencies.
- Analysis involved 14 violin averages, examining excited-via-bridge mobility and radiativity to extract bridge-related effects.
Main Results:
- The model successfully parameterized the violin's radiativity profile across different frequency regions.
- A key finding is the identification of a mobility-radiativity "trough" around 630 Hz where radiativity is consistent across violin quality classes.
- Simulations demonstrated that bridge tuning has a more substantial effect on radiativity trends than typical plate tuning.
Conclusions:
- The developed dynamic filter model provides a comprehensive framework for understanding violin acoustic radiation.
- Bridge tuning emerges as a more critical factor than plate tuning in shaping the violin's radiativity profile.
- This research offers valuable insights for violin makers and acousticians aiming to optimize instrument sound.
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