Experimental, Modal, and Harmonic Response Analysis of a Chladni Plate at Ultrasonic Frequencies
Received: 2 September 2023 | Revised: 14 October 2023 | Accepted: 24 October 2023 | Online: 10 November 2023
Corresponding author: Nitin Khedkar
Abstract
Mode shapes and natural frequencies of mechanical structures can be determined with the Chladni approach. Visual patterns are generated on the Chladni plate if it is exposed to vibrations. These patterns are known as Chladni patterns/figures. Mechanical vibrators are used to excite the plates at particular frequencies for pattern generation, but based on the making and application, their range is limited up to 10 kHz. Piezoelectric transducers are a special kind of transducers that are capable of generating ultrasonic frequencies and if are attached to a plate, intricate visual patterns can be generated, based on the material properties and the shape of the plate. The current research focuses on experimenting with and simulating Chladni figures in the ultrasonic frequency range. The simulations were performed in ANSYS Workbench as a validation of the experimental work.
Keywords:
Chladni plate, ultrasonic frequency, mode shapes, modal analysis, harmonic analysisDownloads
References
M. Sheldrake and R. Sheldrake, "Determinants of Faraday Wave-Patterns in Water Samples Oscillated Vertically at a Range of Frequencies from 50-200 Hz," WATER, vol. 9, pp. 1–27, Oct. 2017.
S. L. Garrett, "Membranes, Plates, and Microphones," in Understanding Acoustics: An Experimentalist’s View of Sound and Vibration, S. L. Garrett, Ed.Springer International Publishing, 2020, pp. 283–330.
A. Kumar, S. Shiva Chary, and K. P. Wani, "Modal Analysis of Chladni Plate Using Cymatics," in ADMMS International Conference 2020, 2020.
K. Gurukiran and P. K. Samal, "Experimental determination of mode shapes of a plate using speaker as excitation device," IOP Conference Series: Materials Science and Engineering, vol. 1189, no. 1, Jul. 2021, Art. no. 012029.
S. Gaygol and K. Wani, "Modal analysis of plate to analyze the effect of mass stiffeners using the Chladni plate approach," Materials Today: Proceedings, vol. 72, pp. 1314–1321, Jan. 2023.
V. A. Le and X. T. Nguyen, "The Effect of Cracks on the Free Vibration of a Plate with Parabolic Thickness," Engineering, Technology & Applied Science Research, vol. 13, no. 4, pp. 11100–11105, Aug. 2023.
F. Ahmad, A. Z. Al-Khazaal, N. Ahmad, and I. Alenezi, "Remediation of Sulfidic Wastewater by Aeration in the Presence of Ultrasonic Vibration," Engineering, Technology & Applied Science Research, vol. 8, no. 3, pp. 2919–2922, Jun. 2018.
Y. Bella, A. Oulmane, and M. Mostefai, "Industrial Bearing Fault Detection Using Time-Frequency Analysis," Engineering, Technology & Applied Science Research, vol. 8, no. 4, pp. 3294–3299, Aug. 2018.
T. Ishii, Y. Mizuno, D. Koyama, K. Nakamura, K. Harada, and Y. Uchida, "Plate-shaped non-contact ultrasonic transporter using flexural vibration," Ultrasonics, vol. 54, no. 2, pp. 455–460, Feb. 2014.
G. Carson, A. J. Mulholland, A. Nordon, M. Tramontana, A. Gachagan, and G. Hayward, "Particle sizing using passive ultrasonic measurement of particle–wall impact vibrations," Journal of Sound and Vibration, vol. 317, no. 1, pp. 142–157, Oct. 2008.
Y. Cao et al., "Development and performance of a novel ultrasonic vibration plate sonotrode for grinding," Journal of Manufacturing Processes, vol. 57, pp. 174–186, Sep. 2020.
R. R. Andrés, V. M. Acosta, M. Lucas, and E. Riera, "Modal analysis and nonlinear characterization of an airborne power ultrasonic transducer with rectangular plate radiator," Ultrasonics, vol. 82, pp. 345–356, Jan. 2018.
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Copyright (c) 2023 Nitin Khedkar, Kiran Wani, Vijaykumar Jatti, Vivek Joshi
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