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Violin String Shape Functions

Ganguli, Ranjan (2016) Violin String Shape Functions. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-981-10-1902-9_9


The previous chapters focused on Euler–Bernoulli beams which are good models for long and slender blades. Gas and steam turbine blades are short and rigid and can be modeled as rotating Timoshenko beams (Kapur, J Acoust Soc Am 40(83):1058–1063, 1966) [1]. Rotating Euler–Bernoulli beams only consider centrifugal force in addition to inertial and elastic forces for vibration analysis. The secondary effects such as shear deformation and rotary inertia have a small effect on lower modes but have considerable effect on higher modes (Kapur, J Acoust Soc Am 40(83):1058–1063, 1966) [1]. Hence for accurate prediction of higher modes, Timoshenko beam models are employed.

Item Type: Book Chapter
Series.: Foundations of Engineering Mechanics
Publisher: Springer New York LLC
Additional Information: The Copyright of this article belongs to the Springer
Keywords: Shape Function; Mode Shape; Timoshenko Beam; Slenderness Ratio; Bernoulli Beam
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 29 May 2022 07:22
Last Modified: 31 May 2022 04:46
URI: https://eprints.iisc.ac.in/id/eprint/72627

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