Abstract
Regarding structural dynamic behavior, the violin is a very versatile entity to study, since it combines many different effects in one single structure. Investigating this instrument means dealing with the uncertainty in natural materials, geometric nonlinearities, many interfaces, and sound radiation. Hence, this multifaceted structure serves as research subject for present work. The study starts with modal analyses of the raw spruce and maple woods, with the intention to show that an a priori material parameter identification is possible. The identified values serve as input for the orthotropic violin plates in the associated finite element model. Using 2D laser scanning vibrometry, the modal parameters are obtained for each plate. The components are supported on soft foams and on cotton wool in order to show the significant deviations in the measurement results with varying foam compliances.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
There are two ways to manufacture violin plates: either as a solid out of one wood plate or out of two wood pieces that are glued together and then processed.
- 2.
The purfling is the black inlay used to prevent cracks to develop further toward the inside of the violin plates.
- 3.
The initial material parameters are based on [11].
References
Marshall, K.D.: Modal analysis of a violin. J. Acoust. Soc. Am. 77, 695–709 (1985)
Knott, G.A.: A Modal Analysis of the Violin Using MSC/NASTRAN and PATRAN. Doctoral Dissertation. Monterey, Naval Postgraduate School (1987)
Molin, N.E., Lindgren, L., Jansson, E.V.: Parameters of violin plates and their influence on the plate modes. J. Acoust. Soc. Am. 83, 281–291 (1988)
Bretos, J., Santamara, C., Moral, J.A.: Vibrational patterns and frequency responses of the free plates and box of a violin obtained by finite element analysis. J. Acoust. Soc. Am. 105, 1942–1950 (1999)
Lu, Y.: Comparison of Finite Element Method and Modal Analysis of Violin Top Plate. Master Thesis. McGill University, Montreal (2013)
Gough, C.E.: Violin plate modes. J. Acoust. Soc. Am. 137, 139–153 (2015)
Gough, C.E.: A violin shell model: vibrational modes and acoustics. J. Acoust. Soc. Am. 137, 1210–1225 (2015)
Torres, J.A., Soto, C.A., Torres-Torres, D.: Exploring design variations of the Titian Stradivari violin using a finite element model. J. Acoust. Soc. Am. 148, 1496–1506 (2020)
Pyrkosz, M.A.: Reverse Engineering the Structural and Acoustic Behavior of a Stradivari Violin. Doctoral Dissertation. Michigan Technological University, Michigan (2013)
D’Errico, J.: fminsearchbnd, fminsearchcon (https://www.mathworks.com/matlabcentral/fileexchange/8277-fminsearchbnd-fminsearchcon), MATLAB Central File Exchange. Retrieved October 3, 2021. (2021)
United States Department of Agriculture, Forest Service, Forest Products Laboratory: Wood Handbook: Wood as an Engineering Material. Madison, WI :U.S. Dept. of Agriculture, Forest Service, Forest Products Laboratory (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Akar, Ö., Willner, K. (2023). Investigating the Modal Behavior of a Violin Top and a Back Plate. In: Dilworth, B.J., Marinone, T., Mains, M. (eds) Topics in Modal Analysis & Parameter Identification, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-031-05445-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-031-05445-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-05444-0
Online ISBN: 978-3-031-05445-7
eBook Packages: EngineeringEngineering (R0)