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Formula for Correction Coefficients for Calculating Young's Modulus from Resonant Frequencies

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The values of Young's modulus determined by means of resonant flexural vibration of the sample are not true values if the ratio of length/diameter (or length/thickness) of the sample is less than 18 and the formula derived from the simplified differential equation of flexural vibration is used. The error can be corrected by multiplying the measured resonant frequency with a correction coefficient. In this paper we derive the formula for calculating correction coefficients for the fundamental frequency of the flexural vibration for samples with square or circular cross-section.
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Document Type: Letter Section

Publication date: January 1, 2001

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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