Aeroelastic equations of motion of a Darrieus vertical-axis wind-turbine blade
The second-degree nonlinear aeroelastic equations of motion for a slender, flexible, nonuniform, Darrieus vertical-axis wind-turbine blade which is undergoing combined flatwise bending, edgewise bending, torsion and extension are developed using Hamilton's principle. The blade aerodynamic loading is obtained from strip theory based on a quasi-steady approximation of two-dimensional incompressible unsteady airfoil theory. The derivation of the equations has its basis in the geometric nonlinear theory of elasticity and the resulting equations are consistent with the small deformation approximation in which the elongations and shears (and hence strains) are negligible compared to unity. These equations are suitable for studying vibrations, both static and dynamic aeroelastic instabilities, and dynamic response. Several possible methods of solution of the equations, which have periodic coefficients, are discussed.
- Research Organization:
- Toledo Univ., OH (USA); National Aeronautics and Space Administration, Langley AFB, VA (USA). Langley Research Center
- DOE Contract Number:
- EX-76-A-31-1028
- OSTI ID:
- 5715737
- Report Number(s):
- DOE/NASA/1028-79/25; NASA-TM-79295
- Country of Publication:
- United States
- Language:
- English
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