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7898':!"#$%#%)2(#2&;$")<)=>'•  ?53$2$(=,)='@%)'A")23'@%0':!(-23$>'B,0':C314"#(>'''

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!

"z p = 0

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!

"x p x( )!

" #y2 +#z

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!

p(r) ="pL(L # x) + p*

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!

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!

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12w, 0 < z < h

vx y,z( ) = 0, für y = ±12w, z = 0, z = h

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!

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= "#p$L

4%

1nn,ungerade

&

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+

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' (

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* +

n =1

,

- sin n%zh

.

/ 0

1

2 3

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!

fn y( ) = 0, für gerade n

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!

fn y( ) = fninhom y( ) + fn

hom y( )

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fninhom y( )

!

fnhom y( )

!

fninhom y( ) = const

!

fninhom y( ) =

4h2"p# 3$L

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!

" " f n y( ) # n2$ 2

h2fn y( ) = 0

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hy

#

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#

$ %

&

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fn y( )

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cosh n# w2h( )

&

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*

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0

h" vx y,z( )

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w &2hn$

tanh n$w2h

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( )

*

+ ,

-

. /

0

1 2

n, ungerade

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4

=8h3w#p$ 4%L

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w2h

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( )

*

+ ,

-

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1 2

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4

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hw

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w2h

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( )

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n, ungerade

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4-

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!

1n4 = " 4

96

n, ungerade

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!

hw " 0; h

w tanh n# w2h( ) " h

w tanh $( ) = hw

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Q "h3w#p12$L

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hw

n, ungerade

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( 1n5

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* + +

,

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=h3w#p12$L

1% 192& 5

3132/ 5( ) h

w)

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w)

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% 1nx

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n, ungerade

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n=1

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k=1

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!

"p = RhydQ =1

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Q

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!

Q[ ] =m3

s, "p[ ] = Pa =

Nm2 =

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Pa# sm3 =

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!

"p1 = R1Q1

!

"p2 = R2Q2

!

R1,Q1

!

R2,Q2

!

p*+"p1

!

p*+"p2

!

p*

!

p*

!

p*+"p

!

R1,Q1

!

R2,Q2

!

Q

!

p*

!

"p = R1 + R2( )Q

!

R = R1 + R2

für Re " 0

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!

"p1 = R1Q1

!

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!

R1,Q1

!

R2,Q2

!

p*+"p1

!

p*+"p2

!

p*

!

p*

!

p*+"p !

R1,Q1

!

R2,Q2 !

p*

!

"p =1R1

+1R2

#

$ %

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R =1R1

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# $

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(1

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!

Q

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Q

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