[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2007.27.2.243

Free vibration analysis of rotating tapered blades using Fourier-p superelement

Gunda, Jagadish Babu (Department of Aerospace Engineering, Indian Institute of Science)
Singh, Anuj Pratap (Department of Aerospace Engineering, Indian Institute of Science)
Chhabra, Parampal Singh (Department of Aerospace Engineering, Indian Institute of Science)
Ganguli, Ranjan (Department of Aerospace Engineering, Indian Institute of Science)

Publication Information

Structural Engineering and Mechanics / v.27, no.2, 2007 , pp. 243-257 More about this Journal

Abstract

A numerically efficient superelement is proposed as a low degree of freedom model for dynamic analysis of rotating tapered beams. The element uses a combination of polynomials and trigonometric functions as shape functions in what is also called the Fourier-p approach. Only a single element is needed to obtain good modal frequency prediction with the analysis and assembly time being considerably less than for conventional elements. The superelement also allows an easy incorporation of polynomial variations of mass and stiffness properties typically used to model helicopter and wind turbine blades. Comparable results are obtained using one superelement with only 14 degrees of freedom compared to 50 conventional finite elements with cubic shape functions with a total of 100 degrees of freedom for a rotating cantilever beam. Excellent agreement is also shown with results from the published literature for uniform and tapered beams with cantilever and hinged boundary conditions. The element developed in this work can be used to model rotating beam substructures as a part of complete finite element model of helicopters and wind turbines.

Keywords

rotating beams; superelement; free vibration; finite element method; helicopter blades; wind turbine blades;

Citations & Related Records

Times Cited By KSCI : 6 (Citation Analysis)
Times Cited By Web Of Science : 12 (Related Records In Web of Science)
Times Cited By SCOPUS : 13

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1	Vibration analysis of rotating Timoshenko beams by means of the differential quadrature method / [Bambill, D.V.;Felix, D.H.;Rossi, R.E.;] / Structural Engineering and Mechanics
2	Physics based basis function for vibration analysis of high speed rotating beams / [Ganesh, R.;Ganguli, Ranjan;] / Structural Engineering and Mechanics
3	On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass / [Zeren, Serkan;Gurgoze, Metin;] / Structural Engineering and Mechanics
4	Tailoring the second mode of Euler-Bernoulli beams: an analytical approach / [Sarkar, Korak;Ganguli, Ranjan;] / Structural Engineering and Mechanics

1	/ Computers and Structures
2	/ Journal of Applied Mechanics, Transactions ASME
3	/ Structural Engineering and Mechanics
4	/ International Journal of Mechanical Sciences
5	/ Structural Engineering and Mechanics
6	/ Aircraft Engineering and Aerospace Technology
7	/ Finite Elements in Analysis and Design
8	/ Computers and Structures
9	/ International Journal for Numerical Methods in Biomedical Engineering
10	/ Finite Elements in Analysis and Design
11	/ Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
12	/ Meccanica
13	/ Arabian Journal for Science and Engineering