Violin string shape functions for finite element analysis of rotating Timoshenko beams

Kumar, Vinod AS and Ganguli, Ranjan (2011) Violin string shape functions for finite element analysis of rotating Timoshenko beams. In: Finite Elements in Analysis and Design, 47 (9). pp. 1091-1103.

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Abstract

Violin strings are relatively short and stiff and are well modeled by Timoshenko beam theory. We use the static part of the homogeneous differential equation of violin strings to obtain new shape functions for the finite element analysis of rotating Timoshenko beams. For deriving the shape functions, the rotating beam is considered as a sequence of violin strings. The violin string shape functions depend on rotation speed and element position along the beam length and account for centrifugal stiffening effects as well as rotary inertia and shear deformation on dynamic characteristics of rotating Timoshenko beams. Numerical results show that the violin string basis functions perform much better than the conventional polynomials at high rotation speeds and are thus useful for turbo machine applications. (C) 2011 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	Finite Elements in Analysis and Design
Publisher:	Elsevier Science B.V.
Additional Information:	Copyright of this article belongs to Elsevier Science B.V.
Keywords:	Rotating beam;Violin strings;Finite element;Shear deformation;Rotary inertia;Shape functions
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	15 Jun 2011 05:53
Last Modified:	15 Jun 2011 05:53
URI:	http://eprints.iisc.ac.in/id/eprint/38255

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