Ganguli, Ranjan (2016) Violin String Shape Functions. [Book Chapter]
Full text not available from this repository.Abstract
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 |
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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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