Aj. Eggers et al., CONSIDERATIONS OF GRAVITY EFFECTS ON VAWT ROTOR CONFIGURATIONS WHICH MINIMIZE FLATWISE MOMENTS AND STRESSES, Journal of solar energy engineering, 115(3), 1993, pp. 143-150
Anticipating that composite materials will permit greater freedom when
future VA WT1 rotor blades are configured, this paper further examine
s the benefits of adopting true Troposkien shapes for blades which do
not use horizontal struts. Two parameters are identified which control
blade geometry under combined rotational and gravitational loads. Rep
resentative zero-bending-moment shapes are calculated, both for consta
nt mass distribution and for several new variable-mass families. The l
atter include one case whose mathematical solution proves remarkably s
imple. Steady design stresses are found to be severely affected by dev
iations from the ideal shape. The concept of ''aerodynamic Troposkien,
'' which preserves zero bending moments in the presence of 1-P cyclic
normal forces, is extended to account for gravity as well as inertial
effects on blade shape. This concept is limited to unstalled flow and
it is found to require unrealistic blade chord distributions near the
tower when gravity effects are included. It is noted that both steady
gravitational loads and nonsteady aerodynamic normal force loads will
become increasingly important in achieving high-cycle fatigue life wi
th larger-scale rotor blades. It is indicated that this achievement wi
ll depend primarily on configuring the rotor blades to minimize the cy
clic flatwise bending moments and stresses due to the nonsteady normal
forces.