Date of Award

1-2026

Document Type

Thesis

Degree Name

Master of Science (MS)

College/School

College of Science and Mathematics

Department/Program

Mathematics

Thesis Sponsor/Dissertation Chair/Project Chair

Bogdan Nita

Committee Member

Ashwin Vaidya

Committee Member

Deepak Bal

Abstract

In this paper, I plan to analyze the tones and frequencies of a steel tongue drum. I will be modeling the vibration and expected frequency of each tongue of the drum based on the solutions to the plate equation with the following boundary conditions: One fixed edge and three free edges. The fundamental frequencies are recognized as the first mode of longitudinal vibration in combination with the zeroth mode of transverse vibration of a rectangular steel plate clamped at one end. Then the first and second harmonics, which correspond to the first and second overtones respectively, are associated with higher modes of transverse vibrations along the steel plate. Alongside the numerical solutions, I will present acoustic measurements of the frequencies of the drum to demonstrate the accuracy of such a model.

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