Vibrational modes of partly filled wine glasses

Abstract

Time-average holographic interferometry has been employed to study how the vibrational modes of a singing wine glass change when it is filled with a liquid. While the liquid clearly lowers the resonance frequencies, it does not change the vibrational mode structure in a first approximation. A more detailed analysis, however, reveals that the presence of the liquid causes the simultaneous excitation of two orthogonal modes that are well resolved for the empty glass.

Implementing electronic speckle pattern interferometry for a variety of activities in a general education acoustics class

“…A theoretical model had been determined for the modes of both an empty wine glass and a partial filled wineglass 1 . 2 French provided a theoretical model for determining the behavior of an empty wineglass which yielded the equation:…”

“…2 Jundt et al also developed a relationship between the frequency of a mode and its other frequencies given that the wineglass had a liquid added to it:…”

How to Play a Disc Brake: A Dissipation-Induced Squeal

“…This remarkable phenomenon has been studied experimentally; see e.g. [35]. However, an adequate theory for its description seems to be still missing.…”

“…, where the bar over a symbol denotes complex conjugate, then integrating it by parts and employing the boundary conditions (36) we arrive at the boundary value problem adjoint to (35) and (36)…”

“…Assuming the solution of the equation (35) in the form The nodes (42), (43) of the spectral mesh of the rotating circular string in the absence of the external loading are marked by white dots in Fig. 8.…”