Compute the position and orientation of the tool point P from the given D-H table for the displacement variable e1=90°, e2-90° and e3=90⁰ a1= 100 mm, a2= 100mm and a3 = 50mm Note: find the position and orientation using step by step procedure Figure 3 3-DOF (Industrial manipulator arm) Joint 1 2 3 Present the roll, pitch, yaw and displacement in x, y and z axis. i-¹T₁= 0 d a 0₁ 0 a1 02 0 a2 03 0 a3 use the composite transformation matrix [CÔ se; 0 0 –SÔ CƠ, S0,SƠ, -se,ca, Co,Ca; sα; 0 α -90 0 0 a;C0 ] -CO;Sα; a,S0₂ Cα₁ d; 0

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.73P
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Compute the position and orientation of the tool point P from the given D-H table for the
displacement variable e1-90° e2-90° and e3=90⁰
a1= 100 mm, a2= 100mm and a3 = 50mm
Note: find the position and orientation using step by step procedure
Figure 3 3-DOF (Industrial manipulator arm)
Joint 0 d
1
01
0
2
02
3
03
0
0
Present the roll, pitch, yaw and displacement in x, y and z axis.
use the composite transformation matrix
[ce; -se,Cα;
se;
SÔ
i-¹T₁ =
0
0
Sα₁
0
CÔ Ca;
co,ca;
a
a1
a2
az
s0;Sα;
se
a
| -90
0
0
Cα₁
0
a;C0₁]
–CĐ Sa, : aS0;
a¡SO;
d;
1
Transcribed Image Text:Compute the position and orientation of the tool point P from the given D-H table for the displacement variable e1-90° e2-90° and e3=90⁰ a1= 100 mm, a2= 100mm and a3 = 50mm Note: find the position and orientation using step by step procedure Figure 3 3-DOF (Industrial manipulator arm) Joint 0 d 1 01 0 2 02 3 03 0 0 Present the roll, pitch, yaw and displacement in x, y and z axis. use the composite transformation matrix [ce; -se,Cα; se; SÔ i-¹T₁ = 0 0 Sα₁ 0 CÔ Ca; co,ca; a a1 a2 az s0;Sα; se a | -90 0 0 Cα₁ 0 a;C0₁] –CĐ Sa, : aS0; a¡SO; d; 1
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