Design Wind Power Turbine - Hybrid Anisotropic Materials for Wind Power Turbine Blades - page 41

As. a. result,. we. use. a. new. stress. function. φ 1 (u,v). and. input. into. Equation.
(2.24):

2 2

∂
∂

φ

+ ∂
∂

φ

q Q

1
2

1
2

=

1 v - f (v) + C .

′

. (2.26)

u v

The.differential.Equation.(2.26).had.been.solved.in.1935.for.a.symmetrical
aviation.isotropic.proile.by.D..Pinov. 20

φ 1(u,v) = Q

1
3a ]* [(b -

2 3 2

81 [u + av + bv +

1 + 4q)(b + 1) -

. . (2.27)

1
3a (b

12C a]y + C} [v + - 1 + 4q)

1

In. Equation. (2.22),. a. new. index. stress. function. u. was. given. by. λ/x. and.
y. was. given. by. y. while. in. a. search. for. function. F,. where. it. was. acting. in.
lexure.in.leading.and.trailing.edges.of.wind.turbine.blades.and.was.found.
to.be:

F(x,y) = Q

1
3a {[(b - 1

2 3 2

81 [ x + av + bv +

λ + 4q)(b + 1) - 12C a]y + C}

1

. . .

1
3a (b -

. . (2.28)

[v + 1 + 4q)

The.irst.multiplayer.is.a.contour.of.proile:

1
3a [ (b - 1 + 4q)(b + 1)

2 3 2

. [ x + av + bv + λ - 12C a]y + C

1

. (2.29)

Here:.a,.b,.C 1 ,.and.C . are.arbitrary.coeficients..It.is.assumed.that.a.=.-k.and.
the.result.is.Equation.(2.29).

. [λx 2. -k(y 3 .+.γ 2 y 2. +.γ 1 y.+.γ 0 ).=.0. (2.30)

where.γ 0 ,.γ 1 ,.γ 2 .are.designated.coeficients.of.y,.and.given.as:

= b

1
3a [(b - 1 + 4q)(b + 1) - 12C1a];

= C
a a ;

=

. γ γ γ . (2.31)

2 1 0

In.Equation.(2.30),.we.replace: