A review of in-situ loading conditions for mathematical modelling of asymmetric wind turbine blades

Bardsley, Andrew, Whitty, Justin orcid iconORCID: 0000-0003-1002-5271, Howe, Joseph Mark and Francis, Jonathan orcid iconORCID: 0000-0002-4436-4370 (2015) A review of in-situ loading conditions for mathematical modelling of asymmetric wind turbine blades. Fundamentals Of Renewable Energy and Applications, 5 (2). p. 153. ISSN 2090-4541

[thumbnail of Published version]
PDF (Published version) - Published Version
Available under License Creative Commons Attribution.


Official URL: https://www.longdom.org/open-access/a-review-of-in...


This paper reviews generalized solutions to the classical beam moment equation for solving the deflexion and strain
fields of composite wind turbine blades. A generalized moment functional is presented to effectively model the moment
at any point on a blade/beam utilizing in-situ load cases. Models assume that the components are constructed from inplane
quasi-isotropic composite materials of an overall elastic modulus of 42 GPa. Exact solutions for the displacement
and strains for an adjusted aerofoil to that presented in the literature and compared with another defined by the
Joukowski transform. Models without stiffening ribs resulted in deflexions of the blades which exceeded the generally
acceptable design code criteria. Each of the models developed were rigorously validated via numerical (Runge-Kutta)
solutions of an identical differential equation used to derive the analytical models presented. The results obtained
from the robust design codes, written in the open source Computer Aided Software (CAS) Maxima, are shown to be
congruent with simulations using the ANSYS commercial finite element (FE) codes as well as experimental data. One
major implication of the theoretical treatment is that these solutions can now be used in design codes to maximize the
strength of analogues components, used in aerospace and most notably renewable energy sectors, while significantly
reducing their weight and hence cost. The most realistic in-situ loading conditions for a dynamic blade and stationary
blade are presented which are shown to be unique to the blade optimal tip speed ratio, blade dimensions and wind

Repository Staff Only: item control page