Abstract
We demonstrate that the designed and fabricated tuning fork resonators have quality factors of about 103–104 in the diverse frequency range from 50 Hz to 10 kHz in ambient condition. Metal and ceramic materials such as tantalum, steel, silicon nitride are used as resonator materials for high quality factors with minimal loss of mechanical energy. Resonators of various sizes with a tuning fork shape are realized by metal 3D printing method as well as metal machining process. We show that the increase in crystallinity of the 3D printed PLA tuning fork via annealing leads to an increase in quality factor, by which we confirm that the material to be used as a resonator should be with high crystallinity rather than an amorphous state. In addition, since the quality factor depends on the mass symmetry of both prongs for the case of a tuning fork-type resonator, we improve the quality factor by matching the position and mass of the displacement-sensing accelerometer and the displacement-inducing actuator. The quality factor differences between predicted quality factor and measured one indicate that there are specific defects inside the material used as a resonator, which will be useful when the various-frequency tuning forks are employed as a highly sensitive force sensing resonator in the dynamic force microscopy and spectroscopy.
Similar content being viewed by others
References
A. Hajjaj, N. Jaber, S. Ilyas, F. Alfosail, M.I. Younis, Int. J. Non-Linear Mech. 119, 103328 (2020)
J. Rieger, A. Isacsson, M.J. Seitner, J.P. Kotthaus, E.M. Weig, Nat. Commun. 5, 1 (2014)
P. Ovartchaiyapong, L. Pascal, B. Myers, P. Lauria, A. Bleszynski Jayich, Appl. Phys. Lett. 101, 163505 (2012)
V.P. Adiga, A. Sumant, S. Suresh, C. Gudeman, O. Auciello, J. Carlisle, R.W. Carpick, Phys. Rev. B 79, 245403 (2009)
D. Czaplewski, J. Sullivan, T. Friedmann, D. Carr, B. Keeler, J. Wendt, J. Appl. Phys. 97, 023517 (2005)
S. Liu, Y. Wang, Scanning 32, 61 (2010)
F.J. Giessibl, Rev. Sci. Instrum. 90, 011101 (2019)
T. Sulchek, R. Hsieh, J. Adams, G. Yaralioglu, S. Minne, C. Quate, J. Cleveland, A. Atalar, D. Adderton, Appl. Phys. Lett. 76, 1473 (2000)
M. Lee, J.G. Hwang, J. Jahng, Q. Kim, H. Noh, S. An, W. Jhe, J. Appl. Phys. 120, 074503 (2016)
T. Stowe, K. Yasumura, T. Kenny, D. Botkin, K. Wago, D. Rugar, Appl. Phys. Lett. 71, 288 (1997)
M. Lee, J. Jahng, K. Kim, W. Jhe, Appl. Phys. Lett. 91, 023117 (2007)
M. Todorovic, S. Schultz, J. Appl. Phys. 83, 6229 (1998)
J.-M. Friedt, É. Carry, Am. J. Phys. 75, 415 (2007)
S. Gürgen, M.C. Kuşhan, W. Li, Prog. Polym. Sci. 75, 48 (2017)
M. Guvendiren, H.D. Lu, J.A. Burdick, Soft Matter 8, 260 (2012)
S.S. Verbridge, H.G. Craighead, J.M. Parpia, Appl. Phys. Lett. 92, 013112 (2008)
S.S. Verbridge, R. Ilic, H.G. Craighead, J.M. Parpia, Appl. Phys. Lett. 93, 013101 (2008)
L. Canale, J. Comtet, A. Niguès, C. Cohen, C. Clanet, A. Siria, L. Bocquet, Phys. Rev. X 9, 041025 (2019)
A. Lainé, L. Jubin, L. Canale, L. Bocquet, A. Siria, S.H. Donaldson, A. Niguès, Nanotechnology 30, 195502 (2019)
D. Chung, J. Mater. Sci. 36, 5733 (2001)
H. Hosaka, K. Itao, S. Kuroda, Sens. Actuators A Phys. 49, 87 (1995)
Z. Hao, A. Erbil, F. Ayazi, Sens. Actuators A Phys. 109, 156 (2003)
C. Zener, Phys. Rev. 53, 90 (1938)
V.B. Braginskiĭ, V.P. Mitrofanov, V.I. Panov, Systems with small dissipation (University of Chicago Press, Chicago, IL, 1985)
M. Blanter, I. Golovin, H. Neuhäuser, H. Sinning, Internal friction in metallic materials: a handbook, Berlin (Springer, Berlin, 2007)
H. Numakura, K. Kashiwazaki, H. Yokoyama, M. Koiwa, J. Alloy. Compd. 310, 344 (2000)
I. Golovin, S. Golovin, J. Phys. IV 6, C8 (1996)
G. Miles, G. Leak, Proc. Phys. Soc. (1958–1967) 78, 1529 (1961)
R. Schaller, G. Fantozzi, G. Gremaud, “Mechanical Spectroscopy, with Applications to Materials Science”, Proceedings of the Summer School Q-1 2001, ed. by R. Schaller, G. Fantozzi, G. Gremaud, 684 pages, Materials Science Forum, vol. 366–368, Trans Tech Publications, Switzerland (2001)
N. von Windheim, D.W. Collinson, T. Lau, L.C. Brinson, K. Gall, Rapid Prototyp. J 27(7), 1327–1336 (2021)
M.F. Ashby, D. Cebon, J. Phys. IV 3, C7 (1993)
N. Chikkanna, S. Krishnapillai, V. Ramachandran, Int. J. Adv. Manuf. Technol. 119, 1179 (2022)
A.N. Cleland, Foundations of nanomechanics: from solid-state theory to device applications (Springer Berlin, Heidelberg, 2003)
D. Hussain, J. Song, H. Zhang, X. Meng, W. Yongbing, H. Xie, IEEE Sens. J. 17, 2797 (2017)
J. Zhang, S. O’shea, Sens. Actuators B Chem. 94, 65 (2003)
B.D. Flinn, R.K. Bordia, A. Zimmermann, J. Rödel, J. Eur. Ceram. Soc. 20, 2561 (2000)
B.P. Ng, Y. Zhang, S.W. Kok, Y.C. Soh, Ultramicroscopy 109, 291 (2009)
P. Patimisco, A. Sampaolo, V. Mackowiak, H. Rossmadl, A. Cable, F. K. Tittel, and V. Spagnolo, IEEE Transact. Ultrason. Ferroelectr. Freq. Control 65, 1951 (2018).
S. Schmid, K. Jensen, K. Nielsen, A. Boisen, Phys. Rev. B 84, 165307 (2011)
K. Rosin, B. Finkelshtein, Dokl. Akad. Nauk SSSR 91, 4 (1953)
J. Snoek, Physica 8, 711 (1941)
Acknowledgements
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2016R1A3B1908660).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Oh, C.Y., Hwang, J. & Jhe, W. High quality factor tuning fork resonators with various resonance frequencies. J. Korean Phys. Soc. 82, 411–419 (2023). https://doi.org/10.1007/s40042-023-00724-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40042-023-00724-x