30.12.2012 Views

Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel

Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel

Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

$QKDQJ<br />

( ) ( )<br />

U = U 4 = 5 + 5 − 5 4<br />

�� �� �� � � � ��<br />

ρ =<br />

�<br />

U<br />

��<br />

U<br />

�<br />

��<br />

[ 5 ( 5 5 ) 4<br />

� � � �� ]<br />

�<br />

�<br />

3<br />

� 3<br />

+<br />

+ − +<br />

�<br />

�<br />

π<br />

π<br />

=<br />

β<br />

β<br />

VLQ VLQ<br />

( 5 + ( 5 − 5 ) 4<br />

� � � ��)<br />

+DXSWNU PPXQJVUDGLHQ EHL HLQHP ULOOHQSURILOLHUWHQ 3ODQHWHQ<br />

:HLVW GHU 3ODQHW NHLQH 6WHLJXQJ DXI VR IlOOW ZLH EHL GHU 0XWWHU HLQH +DXSWNU PPXQJVHEHQH<br />

PLW GHP 0HULGLDQVFKQLWW ]XVDPPHQ 'HU .U PPXQJVUDGLXV LVW KLHU JOHLFK GHP %DOOLJNHLWVUD<br />

GLXV UN GHU 3ODQHWHQIODQNH<br />

ρ � = U �<br />

'LH ]ZHLWH +DXSWNU PPXQJ lKQHOW HEHQIDOOV GHQ 9HUKlOWQLVVHQ EHL GHU 0XWWHU =XVlW]OLFK<br />

HUKlOW GLH 3ODQHWHQIODQNH QRFK HLQHQ .U PPXQJVDQWHLO GXUFK GLH EDOOLJH )OlFKHQIRUP 'LHVHU<br />

(LQIOX‰ LVW DEHU VR JHULQJ GD‰ GLH 3ODQHWHQIODQNH LQ JXWHU 1lKHUXQJ GXUFK HLQH .HJHOIOlFKH<br />

HUVHW]W ZHUGHQ NDQQ 'LH %HUHFKQXQJ HUIROJW GDKHU DQDORJ ]XU 0XWWHU PLW GHP 6DW] YRQ<br />

0(861,(5 VLHKH $EE $OV :LQNHOPD‰ ZLUG KLHU DOOHUGLQJV GHU KDOEH )ODQNHQZLQNHO<br />

KHUDQJH]RJHQ<br />

ρ�<br />

β β<br />

=<br />

U<br />

U<br />

��<br />

=<br />

⎛ T��<br />

⎞<br />

FRV ⎜ °− ⎟ VLQ<br />

⎝<br />

⎠<br />

��<br />

T<br />

��<br />

,Q GHU *OHLFKXQJ LVW EHUHLWV DQJH]HLJW GD‰ GHU )ODQNHQZLQNHO β YRQ GHU /DJH GHV 3XQNWV 23<br />

DXI GHU )ODQNH DEKlQJW 'LHVH /DJH ZLUG GXUFK GLH /DXIYDULDEOH T EHVWLPPW 'HU ]ZHLWH<br />

+DXSWNU PPXQJVUDGLXV I U GLH 5LOOHQSODQHWHQIODQNH EHUHFKQHW VLFK PLW<br />

]X<br />

( ) VLQ � ( ξ Δξ )<br />

U = U T = U + U + T<br />

�� �� �� � � � ��<br />

U T<br />

�� ��<br />

ρ = =<br />

� β<br />

VLQ<br />

( ) U + U VLQ ( ξ + Δξ<br />

T<br />

�� � � ��)<br />

U�<br />

�<br />

= U + �<br />

T��<br />

VLQ ( ξ + Δξ T ) VLQ ( ξ + Δξ<br />

T<br />

� ��<br />

� ��)<br />

'LH +DXSWNU PPXQJVUDGLHQ GHV 3ODQHWHQ LP 0XWWHUNRQWDNW VLQG HLQIDFK ]X HUPLWWHOQ GD KLHU<br />

GLH .|USHUREHUIOlFKH HLQH .XJHO LVW ρ � ρ � 5DGLXV GHU .XJHO

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!