Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel
Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel
Analyse und Modellbildung einer Planeten-Wälz-Gewindespindel
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
$QKDQJ<br />
'HU /|VXQJVZHUW Ol‰W VLFK DXV /|VXQJVWDEHOOHQ HUPLWWHOQ RGHU EHU HLQHQ 3RWHQ]UHLKHQDQVDW]<br />
DQQlKHUQ %H]LHKW PDQ GLH +(57=VFKHQ 'HIRUPDWLRQVEHLZHUWH ξ XQG η LQ GLH 0RPHQWHQEH<br />
UHFKQXQJ PLW HLQ Ol‰W VLFK DXIJUXQG GHV HEHQIDOOV HOOLSWLVFKHQ 9HUKlOWQLVVHV<br />
ξ =<br />
⎛ π ⎞<br />
( ⎜ N⎟<br />
⎝ ⎠<br />
�<br />
πη<br />
GDV /(*(1'5(VFKH ,QWHJUDO HOLPLQLHUHQ<br />
�<br />
0 = S D E<br />
π � �<br />
μ ξη<br />
� �<br />
�<br />
$QOHKQHQG DQ GLHVH %HUHFKQXQJHQ I U UHLQHV %RKUHQ Ol‰W VLFK GHU I U :lO]JHWULHEH LQWHUHV<br />
VDQWH %HUHLFK GHU NRPELQLHUWHQ :lO] %RKUEHZHJXQJ I U HLQHQ HOOLSWLVFKHQ +(57=VFKHQ<br />
.RQWDNW EHUHFKQHQ 0LW GHU |UWOLFKHQ 3UHVVXQJ YRQ<br />
�<br />
\<br />
[<br />
S= S − S = S −<br />
� �<br />
� �<br />
\<br />
D<br />
�<br />
�<br />
�<br />
XQG HLQHP $EVWDQG O � ]ZLVFKHQ 'UHKSRO XQG GHU 0LWWH GHU .RQWDNWIOlFKH HUUHFKQHW VLFK GDV<br />
%RKUPRPHQW ]X<br />
� �<br />
�<br />
[ \<br />
� �<br />
0 = μ S<br />
( O [ ) \ G\ G[<br />
� � ∫ − − � − +<br />
�<br />
�<br />
D ∫<br />
�<br />
\<br />
� �<br />
−�<br />
�<br />
�<br />
'HU :HUW \ � EHVFKUHLEW GDULQ GHQ 5DQG GHU .RQWDNWIOlFKH LQ $EKlQJLJNHLW YRP [ :HUW $XFK<br />
GLHVHV ,QWHJUDO Ol‰W VLFK QLFKW JHVFKORVVHQ DXVZHUWHQ 'LH DXVSODQLPHWULHUWHQ :HUWH I U GDV<br />
%RKUPRPHQW EHL NRPELQLHUWHP *OHLWHQ XQG %RKUHQ XQWHU 7DQJHQWLDONUDIW ILQGHQ VLFK DOV =X<br />
VWDQGVGLDJUDPP EHL :(51,7= VLHKH $EE<br />
0LW GHP JOHLFKHQ $QVDW] LVW DXFK GLH (UPLWWOXQJ GHU 7DQJHQWLDONUDIW P|JOLFK<br />
�<br />
� �<br />
[ \<br />
7 = μ S − −<br />
� � ∫ �<br />
D ∫ \<br />
−�<br />
�<br />
�<br />
�<br />
�<br />
�<br />
O − [<br />
�<br />
( � )<br />
O − [ + \<br />
� �<br />
G\ G[<br />
$QKDQG GHU .HQQWQLV GHV %RKUPRPHQWV GHU /DJH GHV 'UHKSROV XQG GHU 7DQJHQWLDONUDIW Ol‰W<br />
VLFK OHLFKW GLH 3RVLWLRQ GHV .UDIWSROV HUPLWWHOQ ,VW O � GHU $EVWDQG GHV .UDIWSROV YRP 'UHKSRO<br />
VR JLOW QDFK :(51,7=<br />
) �<br />
O = DE<br />
�<br />
μ )<br />
� �<br />
:(51,7= ZHUWHWH DXFK GHQ /HLVWXQJVYHUOXVW DQ HLQHU %HU KUVWHOOH LQ $EKlQJLJNHLW YRQ GHU<br />
*HVWDOW GHU +(57=VFKHQ .RQWDNWIOlFKH DXV 'LH RSWLPDOH .RQVWHOODWLRQ HUJDE VLFK EHL HLQHP<br />
+DOEDFKVHQYHUKlOWQLV YRQ GLH JU|‰HUH +DOEDFKVH ELOGHW GDEHL PLW GHU 9HUELQGXQJVOLQLH<br />
YRQ 'UHK XQG .UDIWSRO HLQHQ UHFKWHQ :LQNHO XQG HLQHQ 1XW]XQJVJUDG YRQ %HL HLQHU<br />
9HUlQGHUXQJ GHV +DOEDFKVHQYHUKlOWQLVVHV EHU GHQ :HUW .UHLVIOlFKH KLQ ]X Pl‰LJ ODQJJH
Change language