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Quadratic B-spline finite element method for a rotating non-uniform Rayleigh beam

Panchore, Vijay and Ganguli, Ranjan (2017) Quadratic B-spline finite element method for a rotating non-uniform Rayleigh beam. In: STRUCTURAL ENGINEERING AND MECHANICS, 61 (6). pp. 765-773.

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Official URL: http://dx.doi.org/10.12989/sem.2017.61.6.765

Abstract

The quadratic B-spline finite element method yields mass and stiffness matrices which are half the size of matrices obtained by the conventional finite element method. We solve the free vibration problem of a rotating Rayleigh beam using the quadratic B-spline finite element method. Rayleigh beam theory includes the rotary inertia effects in addition to the EulerBernoulli theory assumptions and presents a good mathematical model for rotating beams. Galerkin's approach is used to obtain the weak form which yields a system of symmetric matrices. Results obtained for the natural frequencies at different rotating speeds show an accurate match with the published results. A comparison with Euler-Bernoulli beam is done to decipher the variations in higher modes of the Rayleigh beam due to the slenderness ratio. The results are obtained for different values of non-uniform parameter ((n) over bar).

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the TECHNO-PRESS, PO BOX 33, YUSEONG, DAEJEON 305-600, SOUTH KOREA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Depositing User: Id for Latest eprints
Date Deposited: 26 Apr 2017 07:24
Last Modified: 26 Apr 2017 07:24
URI: http://eprints.iisc.ac.in/id/eprint/56645

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