Dynamic modelling of blades based on a novel curved thin walled beam theory

© 2018 Solar Turbines Incorporated.There are several Thin-Walled Beam models for straight beams,but few TWB models consider beams with arbitrary curvatures.Although, a curved beam can be modelled using finite elements, thenumber of degrees of freedom is too large and a nonlinear dynamicsolution is very cumbersome, if not impossible. In this work, a generaldescription of arbitrary three-dimensional curves, based on the FrenetSerret field frame, is applied to determine the dynamic stresses in wingturbines blades. The dynamic model is developed using the IsogeometricAnalysis (IGA) and the in plane and out-of-plane curvature's gradientsare found in an Euler-type formulation, allowing the treatment of caseswith highly-curved geometry. An Isogeometrical (IGA) formulationrelies on a linear combination of Non-Uniform Rational B-Splines(NURBS) to represent not just the model's geometry, a standard practicein most Computer-Aided Design (CAD) platforms, but also the unknownsolution field of each sought variable. For the unified model hithertodescribed, these variables are represented by a NURBS curve.

Dynamic modelling of blades based on a novel curved thin walled beam theory Academic Article in Scopus