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安徽理工大学机械原理课程设计

?（?） ?（?） 35 9 40 6.612 45 4.592 50 2.939 55 1.653 60 0.735 65 0.184 70 0 （2）选取?L?2mmmm，由r0?85mm作出凸轮的基圆，以凸轮轴心02为圆心，以L0204为半径作一圆，摆杆的回转轴心在反转过程中依次所占据的位置即在此圆上，如图所示。

（3）用反转法作图绘制凸轮的理论轮廓与实际轮廓，如图所示。 （4）由定性分析可知，最大压力角出现在远休止阶段，如图所示。 从图中量得?max?18?，而摆动推杆????45?，所以?max?????

故压力角满足力学条件，符合设计要求。

（5）用解析法计算凸轮理论轮廓和实际轮廓，计算值与图解法的相应点的值进行比较，并计算误差。

L204D?L20204?r021302?1502?852摆杆的初始位置角?0?arccos ?arccos?34.412? （2~5）

2L04DL02042?130?150滚子中心处D点的直角坐标为

x?L0204sin110????L04Dsin70?????0??y?L0204

Ⅰ 计算理论轮廓 推程阶段：

①点4：??235，??5.76

???04D?cos?110?????L?cos?70????0? （2~6） ????x4?L0204sin110????L04Dsin70?????0??

???????150?sin?110?235??130?sin?70?6.598mm???235??34.412??5.76?

y4?L0204cos110????L04Dcos70?????0??

???????150?cos?110?235??130?cos?70??97.755mm''???235??34.412??5.76?

从图中量得x4?6.8mm，y4??97.6mm

x4?x'46.598?6.8?10000??10000?3.0600 误差：?x4?x46.598y4?y'4?97.755???97.6??10000??10000?0.1600 ?y4?y4?97.755 11

安徽理工大学机械原理课程设计

②点8：??265，??16.56?

?x8?L0204sin110????L04Dsin70?????0??

???????150?sin?110?265??130?sin?70?62.161mm???265??34.412??16.56?

y8?L0204cos110????L04Dcos70?????0??

???????150?cos?110?265??130?cos?70??104.435mm???265??34.412??16.56?

''从图中量得x8?63.1mm，y8??104.2mm

'x8?x862.161?63.1?10000??10000?1.5100 误差：?x8?x862.161'y8?y8?104.435???104.2??10000??10000?0.2300 ?y8?y8?104.435

回程阶段：

③点17：??320，??11.388

??x17?L0204sin110????L04Dsin70?????0??

???????150?sin?110?320??130?sin?70?110.396mm???320??34.412??11.388?

y17?L0204cos110????L04Dcos70?????0??

???????150?cos?110?320??130?cos?70??4.815mm???320??34.412??0.735?

'' 从图中量得x17?110.4mm，y17??5.8mm

'x17?x17110.396?110.4??10000??10000?0.00400

x17110.396'y17?y17?4.815???5.8???10000??10000?20.4600 y17?4.815误差：?x17 ?y17

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安徽理工大学机械原理课程设计

④点23：??350，??0.735?

?x23?L0204sin110????L04Dsin70?????0??

???????150?sin?110?350??130?sin?70?75.266mm???350??34.412??0.735?

y23?L0204cos110????L04Dcos70?????0??

???????150?cos?110?350??130?cos?70?42.961mm???350??34.412??0.735?

从图中量得x'23?76.2mm，y'23?41.2mm 误差：?x23x23?x'2375.266?76.2??10000??10000?1.2400

x2375.266y23?y'2342.961?41.2??10000??10000?4.1100

y2342.961 ?y23

Ⅱ 计算实际轮廓 推程阶段：

2 ①点4：??235，??5.76?，??2??2?0，

?d?4???2 d??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??dy?dxd??2??dyd????0.97022d????0.242

因为凸轮的工作线为内等距线，所以

x'4?x4?rrcos??6.598?15???0.242??10.228mmy?y4?rrsin???97.755?15???0.970???83.205mm'4

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安徽理工大学机械原理课程设计

''从图中量得x'4?10.2mm，y'4??84.4mm

'x'4?x'410.228?10.20??100?10000?0.2700 误差：?x?0'10.228x4'4'y'4?y'4?83.205???84.4?0??100?10000?1.4400 ?y?0'?83.205y4'4

②点8：??265，??16.56?，????2???0????2?，

20d?4???0??? ?2d??0

dx?d????L0204cos110????L04Dcos70?????0???1??d?d????????4???0?????????150cos110???130cos70????0???2?1???0??????

dy?d???L0204sin110????L04Dsin70?????0???1??d?d????????4???0??????150sin110????130sin70?????0???2?1???0??????

sin????dx??cos???dy???dxd??2??dy?dxd??2d????0.96522??dyd???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?58.231mmy?y8?rrsin???104.435?15???0.965???89.96mm'8

'''从图中量得x8??90.4mm ?58.2mm，y'4'''x8?x858.231?58.20??100?10000?0.0500 误差：?x?0'58.231x8'8'''y8?y8?89.96???90.4?0??100?10000?0.7100 ?y?0'y8?89.96'8

回程阶段：

2 ③点17：??320，??11.388，????2??2?'0，

??d?4????'2 d??0 14

安徽理工大学机械原理课程设计

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???dx?dxd????dyd???0.3092222d????dyd???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?96.131mmy'17?y17?rrsin???4.815?15?0.309??9.45mm''''

从图中量得x4?96.4mm，y4??11.8mm 误差：?x'17'''x17?x1796.131?96.40???100?10000?0.2800 0'96.131x17'''y17?y17?9.45???11.8?0???100?10000?19.900 0'y17?9.45 ?y

'17④点23：??350，??0.735，??2???????'0?24??'0??d??， ??'2d??0'20??

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??????

?????

sin????dx??cos???dy???dxd??2??dy?dxd??2d???0.62122??dyd???0.784

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