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Hertzian Contact Resonances



John A. Kramar, T Mcwaid, J Schneir, E C. Teague


The resonant frequency of a sphere in contact with a flat surface was measured as a function of loading force for contacting materials with different elastic moduli. Comparisons were made with predictions based on the Hertzian theory of elastic deformation. With a 4 mm radius, stainless steel ball on a ground stainless steel flat supporting an inertial mass of 180 g, the measured resonant frequencies ranged from 970 Hz to 1.73 kHz as the loading force was increased from 0.85 N to 23 N. This compares favorably with the theoretical predictions which range from 930 Hz to 1.62 kHz. For a 4 mm radius ruby ball on a sapphire flat, where the inertial mass was 200 g, the resonant frequencies ranged from 1.34 kHz to 1.81 kHz compared to a theoretical range of 1.09 kHz to 1.98 kHz as the loading force was increased from 0.97 N to 31 N.
Conference Dates
January 1, 1994
Conference Location
Cincinnati, OH
Conference Title
Proceedings of American Society of Precision Engineering


Kramar, J. , Mcwaid, T. , Schneir, J. and Teague, E. (1994), Hertzian Contact Resonances, Proceedings of American Society of Precision Engineering, Cincinnati, OH (Accessed March 1, 2024)
Created January 1, 1994, Updated February 19, 2017