x8?l0209sin110????l09Dsin70?????0???????
?150?sin110??265??130?sin70??265??34.412??16.56??62.161mm???
y8?l0209cos110????L09Dcos70?????0???????
?150?cos110??265??130?cos70??265??34.412??16.56???104.435mm???从已知得
'x8?63.1mm,
'y8??104.2mm
误差:
'x8?x862.161?63.1?x8??10000??10000?1.5100x862.161
'y8?y8?104.435???104.2??y8??10000??10000?0.2300y8?104.435
回程阶段:
?③点17:??320,??11.388
?
x17?l0209sin110????l09Dsin70?????0???????
?150?sin110??320??130?sin70??320??34.412??11.388??110.396mm???
y17?l0209cos110????l09Dcos70?????0?????150?cos?110??4.815mm????
?320??130?cos70??320??34.412??0.735???已知得
'x17?110.4mm,
'y17??5.8mm
?x17误差:
?y17'x17?x17110.396?110.4??10000??10000?0.00400x17110.396
'y17?y17?4.815???5.8???10000??10000?20.4600y17?4.815
27
?④点23:??350,??0.735
?
x23?l0209sin110????l09Dsin70?????0?????150?sin?110?75.266mm????
?350??130?sin70??350??34.412??0.735???
y23?l0209cos110????l09Dcos70?????0?????150?cos?110?42.961mm????
?350??130?cos70??350??34.412??0.735???从已知得
x'23?76.2mm,
y'23?41.2mm
?x23误差:
x23?x'2375.266?76.2??10000??10000?1.2400x2375.266?y23
Ⅱ 计算实际轮廓 推程阶段:
y23?y'2342.961?41.2??10000??10000?4.1100y2342.961
???2?? ①点4:??235,??5.76,
?2d?4???22?0?0 ,d?dx?d????l0209cos110????l09Dcos70?????0???1??d?d????????4????150cos110????130cos70?????0????1??20?????????
dy?d???l0209sin110????l09Dsin70?????0???1??d?d????????4???150sin110????130sin70?????0????1??20?????????
sin????dx??cos???dy???dxd??2??dyd??2?dxd??2??dyd??2??0.970??0.242
因为凸轮的工作线为内等距线,所以
28
x'4?x4?rrcos??6.598?15???0.242??10.228mm'y 4?y4?rrsin???97.755?15???0.970???83.205mm
''''x?10.2mmy4从已知得,4??84.4mm
误差:
'4'x'4?x'410.228?10.20??x??100?10000?0.27000'10.228x4'4
'y'4?y'4?83.205???84.4?0??y??100?10000?1.44000'?83.205y4
??????2???0?????16.56??265②点8:,,
2d?4???0????22?0d??0,
dx?d????l0209cos110????l09Dcos70?????0???1??d?d????????4???0???????150cos110????130cos70?????0???2?1???0??
????dy?d???l0209sin110????l09Dsin70?????0???1??d?d????????4???0??????150sin110????130sin70?????0???2?1???0??
????sin????dx???dxd??2??dyd??2?dxd??2??dyd??2??0.965 cos???dy???0.262
因为凸轮的工作线为内等距线,所以
'x8?x8?rrcos??62.161?15?0.262?58.231mm'y8 ?y8?rrsin???104.435?15???0.965???89.96mm
从已知得
''x8?58.2mm'',y4??90.4mm
误差:
'8'''x8?x858.231?58.20??x??100?10000?0.05000'58.231x8'8
'''y8?y8?89.96???90.4?0??y??100?10000?0.71000'y8?89.96
回程阶段:
29
?????2??③点17:??320,??11.388,
?2d?4????'2?'02d??0 ,
dx?d????L0204cos110????L04Dcos70?????0???1??d?d????????
?4??????150cos110???130cos70????0????1??'2?0???????
dy?d???L0204sin110????L04Dsin70?????0???1??d?d???????
?4?????150sin110????130sin70?????0????1??'2?0??????
sin????dx??cos???dy???dxd??2??dyd??2?dxd??2??dyd??2?0.309?0.951
因为凸轮的工作线为内等距线,所以
'x17?x17?rrcos??110.396?15?0.951?96.131mm'y?y17?rrsin???4.815?15?0.309??9.45mm17
''''x?96.4mmy4从已知得,4??11.8mm
?x'17误差:
?y'17'''x17?x1796.131?96.40???100?10000?0.28000'96.131x17
'''y17?y17?9.45???11.8?0???100?10000?19.9000'y17?9.45
???2???'0?????0.735??350④点23:,,
?24??'0??d???'2'2?0d??0,
??dx?d????L0204cos110????L04Dcos70?????0???1??d??d????????4??'0????150cos110???130cos70????0????1??'02????????????
dy?d???L0204sin110????L04Dsin70?????0???1??d??d??????
?4??'0???150sin110???130sin70????0????1??'02?????????????
30
sin????dx??cos???dy???dxd??2??dyd??2?dxd??2??dyd??2?0.621?0.784
因为凸轮的工作线为内等距线,所以
x'23?x23?rrcos??75.266?15?0.784?63.506mmy'23?y23?rrsin??42.961?15?0.621?33.646mm
从已知得
'x'23?64.1mm,
'y'23?31.8mm
?x'23误差:
'x'23?x'2363.506?64.10???100?10000?0.94000'63.506x23
?y'23'y'23?y'2333.646?31.80???100?10000?5.49000'y2333.646
用反转法作图绘制凸轮的理论轮廓与实际轮廓,如图所示。
图5-2 理论轮廓与实际轮廓题图
31