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.

$QDO\VH 0RGHOOELOGXQJ %HUHFKQXQJ<br />

,Q GLHVHU 5LFKWXQJ ZLUNW DXFK GHU WDWVlFKOLFKH 6FKOXSI 6 �<br />

6<br />

�<br />

Y���<br />

� �<br />

= = FRVγ + − 6 + VLQ γ<br />

Y<br />

�<br />

�<br />

6 = VLQ γ WDQ ε +<br />

�<br />

'HU :LQNHO σ EHUHFKQHW VLFK ]X<br />

σ = °−ε −γ<br />

'HU 6FKOXSIZLQNHO ε EHUHFKQHW VLFK ]X<br />

FRVε<br />

= Y ���<br />

Y<br />

����<br />

���<br />

Y ��� − Y<br />

WDQ ε =<br />

Y<br />

� �<br />

���<br />

����<br />

RGHU<br />

FRVγ<br />

+ 6 −<br />

=<br />

VLQγ<br />

= 6 FRWγ<br />

Y�<br />

���<br />

EHL 6 LVW ε = °−γ XQG WDQε ��� = = FRWγ<br />

Y��� 'LH 7DQJHQWLDONUDIW 7 � HUUHFKQHW VLFK DXV GHU .RQWDNWQRUPDONUDIW 4 ]X<br />

Y���<br />

7 = 4⋅μ⋅<br />

= 4⋅μ⋅6 �<br />

Y<br />

�<br />

�<br />

XQG EHZLUNW LQ 8PIDQJVULFKWXQJ GHV $EWULHEV GLH 8PIDQJVNUDIW 8 � LQ $EE LVW 8� QLFKW<br />

HLQJH]HLFKQHW VLH ZlUH GLH VHQNUHFKWH 3URMHNWLRQ YRQ 7 DXI GLH 5LFKWXQJ YRQ Y �<br />

Y − Y<br />

���� �<br />

8 = 4⋅μ⋅<br />

= 4⋅μ⋅( 6− 6 ) = 4⋅μ⋅ 6−<br />

+ FRVγ<br />

�<br />

�<br />

Y<br />

'LHVH EHLGHQ .UlIWH YHUKDOWHQ VLFK ZLH<br />

8 = 7 FRVσ<br />

� �<br />

8 = 7 VLQε<br />

� �<br />

�<br />

'LH $XVQXW]XQJ ν � GHU 5HLENUDIW LQ $EWULHEVULFKWXQJ LVW EHL 6FKUlJODXI ,QGH[ Ä6³<br />

Y − Y<br />

���� �<br />

ν = = VLQ<br />

ε<br />

�<br />

Y<br />

���<br />

����

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

Saved successfully!

Ooh no, something went wrong!