机器人导论参考答案

(a) (b) 解B=

?1?5??0??1?1501?1901:

19011521?1??5?2??1?A=

?1?0??0??1?1001?140114011021?1??0?2??1?

A′=Trans(2,0,0)Rot(Z,90)Rot(X,90)Trans(0,-4,0)A=

?1?0??0??0?1?0??0??1?2?1??4??10100?10012?14100102??0??01??0??0??1??0?14012?10114012101?1000102101410010?1??0?2??1?0???1?4??1?0??1??00??0??0??1??000?10?0?1??0??0010000?100??1??00??0??0??1??0?100001002??0?4??1?0010?1?0??0??10???4?0??1??1001?140114011021?1??0?2??1?=

=

B′=Rot(X,90)Rot(Y,90)Trans(0,-5,0)B=

?1?0??0??00010?0?1??0??0?15010?1000010?19010??0??00??0???1??1??0100019010100100001000??1??00??0??0??1??000100???5?0??1??0?1??0??101000010?1?5??0??10???5?0??1??15010?1410141?190121011901?1?5??0??115212???1?0??1??1501?1??5?2??1??190119011521?0?1??0??0?1??5?2??1?001010000??0??5??1?

=

?1?5??0??10??1??00??0??0??1??01521=

?1??5?2??1?=

0?101

1.8 如题1.8图所示的二

自由度平面机械手,关节1为转动关节,关节变量为θ1;关节2为移动关节, 关节变量为d2。试: (1)建立关节坐标系,并写出该机械手的运动方程式。

(2)按下列关节变量参数求出手部中心的位置值。

θ1 0 30 60 90 d2/m 0.50 0.80 1.00 0.70 解:建立如图所示的坐标系 参数和关节变量 连θ α а d 杆 θ 1 0 0 0 1

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