Consider that we have a 3-R robot as shown in the figure below. The lengths of the links are: 11-12-13=2. The position and posture of the tool's center point is Pt (x, y, a), the driving variables are 01, 02, 03, and the output variables are v,v,, w.. (It is in the initial position)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
Consider that we have a 3-R robot as shown in the figure below. The lengths of the links
are: 11-12-13=2. The position and posture of the tool's center point is Pt (x₁, y₁, α), the
driving variables are 01, 02, 03, and the output variables are v,v,, w.. (It is in the
initial position)
yo
1₁
Y₁
0₁
Y₂
12
02
X1
-X2
V3
13
P₁
X3
a
Xo
Transcribed Image Text:Consider that we have a 3-R robot as shown in the figure below. The lengths of the links are: 11-12-13=2. The position and posture of the tool's center point is Pt (x₁, y₁, α), the driving variables are 01, 02, 03, and the output variables are v,v,, w.. (It is in the initial position) yo 1₁ Y₁ 0₁ Y₂ 12 02 X1 -X2 V3 13 P₁ X3 a Xo
3.1 The base coordinate of robot is xo-yo-zo, the tool coordinate is x-y-z. Based on the
coordinate systems shown on the figure. Please complete the D-H table of this robot.
i-¹A
link
1
2
3
=
ai
[cos(0₁)
sin (₁)
0
0
di
3.2 Please get both analytical and numerical solutions for the forward kinematics
equation of the robot, where 0₁ 0₂ 03 = 30°
di
-cos (α;) sin(0₁)
cos(a) cos(0₁)
sin(ai)
0
0₁
sin(a;) sin(0₁)
-sin(a)cos (0₁)
cos(α₁)
0
aicos (0₁)]
a¡sin (0₁)
di
1
Transcribed Image Text:3.1 The base coordinate of robot is xo-yo-zo, the tool coordinate is x-y-z. Based on the coordinate systems shown on the figure. Please complete the D-H table of this robot. i-¹A link 1 2 3 = ai [cos(0₁) sin (₁) 0 0 di 3.2 Please get both analytical and numerical solutions for the forward kinematics equation of the robot, where 0₁ 0₂ 03 = 30° di -cos (α;) sin(0₁) cos(a) cos(0₁) sin(ai) 0 0₁ sin(a;) sin(0₁) -sin(a)cos (0₁) cos(α₁) 0 aicos (0₁)] a¡sin (0₁) di 1
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY