The University of Southampton
University of Southampton Institutional Repository

Parametric resonance in horizontal axis wind turbines

Feitosa, Evaraldo Alencar Do Nacimento (1989) Parametric resonance in horizontal axis wind turbines University of Southampton, Department of Aeronautics and Astronautics, Doctoral Thesis , 191pp.

Record type: Thesis (Doctoral)


Regions of parametric resonance are predicted for the flexible blades of Horizontal Axis Wind Turbines subjected to periodic parametric loading due to gravity. The mathematical model consists of rigid blade flapping, rigid blade lagging and shaft torsion degrees of freedom. A hypothetical hinge offset, flapping and lagging stiffnesses, and aerodynamic loading are considered in the model. Also, hinge inclination which induces stiffness coupling is included in the analysis. The equations of motion (Mathieu/Hill's equations) are investigated using the Harmonic Balance Method for the determination of the main parametric resonance. The analysis has been carried out with the support of the computer algebra system REDUCE. Particular attention is given to: the importance of aerodynamic terms; the influence of coning angle; the influence of the flapping and lagging stiffnesses and the influence of the hinge inclination. The size and position of these regions of instability are significantly affected by these factors. Experimental results are presented from wind tunnel tests in which a Horizontal Axis Wind Turbine model of 1.82m diameter with flexible blades was investigated. The experimental results show clearly some regions of parametric resonance

PDF 000760.PDF - Other
Restricted to Repository staff only
Download (8MB)

More information

Published date: January 1989
Organisations: University of Southampton, Aerodynamics & Flight Mechanics


Local EPrints ID: 52253
PURE UUID: f8bb0fb5-162b-40ce-89a8-8dae3eb8b986

Catalogue record

Date deposited: 26 Aug 2008
Last modified: 17 Jul 2017 14:43

Export record


Author: Evaraldo Alencar Do Nacimento Feitosa
Thesis advisor: D.J. Mead

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.