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

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

9HUVXFKH<br />

'LH 6SLQGHOVWDQJH ZLUG URWDWRULVFK YRQ HLQHP GUHK]DKOJHUHJHOWHQ (OHNWURPRWRU DQJHWULHEHQ<br />

ZRGXUFK VLFK GLH 0XWWHU PLW GHU /DVW D[LDO DXI XQG DEEHZHJW 'DEHL ZLUG GDV $EVW W]PR<br />

PHQW GHU 0XWWHU PLW HLQHP 6SDFH 0RXVH 0RGXO JHPHVVHQ ZHOFKHV DQDORJH 0H‰VLJQDOH OLH<br />

IHUW I U JHQDXHUH $XVZHUWXQJ DOV EHL GLJLWDOHP 6WDQGDUGDXVJDQJ 'LH 0HVVXQJ GHV $E<br />

VW W]PRPHQWV HUIROJW PLWWHOV GLHVHV 6HQVRUV GD GHU 0RWRU VRZRKO /DJHUUHLEXQJ DOV DXFK LQQH<br />

UH 9HUOXVWH EHUZLQGHQ PX‰ ZHVKDOE GLH GLUHNWH $XVZHUWXQJ GHV 0RWRUVWURPHV ]X YHU<br />

IlOVFKWHQ 'UHKPRPHQWZHUWHQ I KUHQ Z UGH<br />

'HU 6FKOXSI 6 ZLUG DXV GHP 9HUJOHLFK GHV WDWVlFKOLFKHQ 9HUIDKUZHJHV JHPHVVHQ PLW HLQHP<br />

*ODVPD‰VWDE XQG GHP WKHRUHWLVFKHQ 9HUIDKUZHJ HUUHFKQHW DXV 3 EHVWLPPW<br />

V − V<br />

6 =<br />

V<br />

� �<br />

�<br />

0LW P JHVDPWH JHKREHQH 0DVVH<br />

J (UGEHVFKOHXQLJXQJ<br />

Y +XEJHVFKZLQGLJNHLW<br />

0 $EVW W]PRPHQW GHU 3:* 0XWWHU<br />

ϖ :LQNHOJHVFKZLQGLJNHLW GHU 6SLQGHOVWDQJH<br />

V � WKHRUHWLVFK ]XU FNJHOHJWHU :HJ<br />

V WDWVlFKOLFK ]XU FNJHOHJWHU :HJ<br />

�<br />

Q $Q]DKO GHU 8PGUHKXQJHQ GHU 6SLQGHOVWDQJH<br />

3 *HVDPWVWHLJXQJ GHU 3:*<br />

/HJW GLH 3:* EHLP 6HQNHQ WDWVlFKOLFK HLQHQ JU|‰HUHQ :HJ ]XU FN DOV DXV GHU ÄLGHDOHQ³ *H<br />

VDPWVWHLJXQJ XQG GHU $Q]DKO GHU 8PGUHKXQJHQ EHUHFKQHW VR ZLUG LKU 6FKOXSI QHJDWLY<br />

'HU )HKOHU GHU :LUNXQJVJUDGEHUHFKQXQJ Δη EHWUlJW QDFK ',56&+(5/ >' @<br />

J ⎛ G<br />

G<br />

G<br />

G<br />

Δη= ⎜ η⋅ Δ P + η⋅ Δ [ + η⋅ Δ 0 + η⋅Δ<br />

1<br />

π ⎝ GP<br />

G[<br />

G0<br />

G1<br />

J ⎛ [<br />

= ⎜<br />

+ + − +<br />

⎝ 01 P<br />

P<br />

01 [<br />

P[<br />

0 1 0<br />

P[<br />

Δ Δ Δ Δ 1<br />

� �<br />

π<br />

01<br />

-H QDFK 6SLQGHOW\S /DVW XQG 'UHK]DKO VWHOOHQ VLFK XQWHUVFKLHGOLFK KRKH :LUNXQJVJUDGH HLQ<br />

GHUHQ %HUHFKQXQJ PLW HWZD )HKOHU EHKDIWHW LVW<br />

⎞<br />

⎟<br />

⎠<br />

⎞<br />

⎟ =<br />

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

Saved successfully!

Ooh no, something went wrong!