For the 3-DOF Industrial manipulator arm as shown in Figure 3, determinethe joint displacements for known position and orientation of the end of thearm point.0.0.Y1AY2 AY3X2X3212223YoxoFigure 3. 3 DOF RRR Industrial manipulator armThe link transformation matrices are given byC3 -S3 0 a3C3S3 C31C2 -S2 0 a,C2C1S1-S1-C1d1S2C22T3%3DT211111S1C\C2a3+C1a2C1C2C3 – C1S2S3 -C¡C2S3 – C1S2S3S,C2C3 – S1S2S3 -SĄC2S3 – S1 S2C3 -C1 SịC2a3+ Sja2Szaz + d11OT3 == °T, 'T2 ?T3S½C3 + C2S3- S2S3 + C2C3

Answered: Image /qna-images/answer/5dd0ddc2-3b66-46d6-b2c6-5cefb81b8935.jpg

Answered: For the 3-DOF Industrial manipulator…

For the 3-DOF Industrial manipulator arm as shown in Figure 3, determine the joint displacements for known position and orientation of the end of the arm point.

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

See similar textbooks

Similar questions

Evaluate the 3-DOF wrist as shown in Figure 2, use the conventional method to determine 1. Linear velocity and 2. Angular velocity NOTE: for JOINT 3 ( 03 ) only Connected to robot Figure 2: Wrist assembly The known position and orientation of the end of the arm point is. [-C,S2C3 + S1S3 C;S2S3 +S1C3 |-S;S2C3 – C,S3 S,S2S3 + C,C3 -C2S3 C,C2 S,C2 S2 °T3=°T;'T2?T3= C2C3 [G 0 S, 0 S, 0 -G 0 °T 1 0 0 1 -S2 0 C, 0° C2 0 S, 0 'T2 1 1 [C3 -S3 0 07 S3 C3 0 0 2T3= 1 0 0 0 1 00010 II
Compute the position and orientation of the tool point P from the given D-H table for the displacement variable e1=900 e2=90° and e3=90⁰. a1= 100 mm, a2= 100mm and a3 = 50mm Note: find the position and orientation using step by step procedure Present the roll, pitch, yaw and displacement in x,y and z axis. use the composite transformation matrix H-¹T₁= [ce; -se,ca; SO Sα₁ se, co,Ca; -C0₁Sα; 0 Sα₁ Cα₁ 0 0 0 aC0₁] aS0₂ d₁ 1 Joint 1 2 3 Figure 3 3-DOF (Industrial manipulator arm) 0 d α 0₁ 0 a1 02 0 a2 03 | 0 a³0 a -90 0
2) Block 4 slides in a slot in the fixed piece 1. Axis Q₂ of crank 2 is fixed on 1. Q₂₂A = 1 1/2 in., and AB = 4/1/2 Draw the mechanism, assuming limen- sions for 1, if desired, or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q₂ ABQ400; Name each link, and show the finite and infinite cranks. Frind graphically the two extreme positions of 13, The axis of the pin by which link 3 is attached to the block 4.. Dimension the length of the stroke of B. Ans. 3& in. for scale 1:1
The link lengths and the value of 2 and offset for some fourbar crank-slide linkages are defined in Table 1. The linkage configuration and terminology are shown in Figure 1. For the rows assigned, find (a) all possible solutions for angle and slider position d by vector loop method. (b) the transmission angle corresponding to angle 83. (Hint: Treat the vector R4 as virtual rocker) Show your work in details: vector loop, vector equations, solution procedure. Table 1 Row a b с offset 02 Link 2 1.4 3 5 A R2 0₂ Link 3 4 8 20 slider axis. R3 Link 3 R₂ d R₁ Figure 1. 0₁ Offset 1 2 -5 С B R4 T 84 X Q2 45° -30° 225°
INSTRUCTIONS: Solve the following problem by manually applying the finite element method, following these steps: Pre-processing: Geometry identification. Material properties identification. Load identification. Boundary condition identification. Development of the connectivity matrix for nodes and elements. Processing: Calculation of local stiffness matrices. Assembly of the global stiffness matrix. Assembly of the global force matrix (if required). Application of boundary conditions. Resolution of the system of equations. Derivation of the complete displacement vector (u). Post-processing: Reaction forces calculation. Stress analysis. Problem Statement: the truss nodes and elements (in parentheses) are already numbered. The areas (are in cm^2 ) are underlined. members are made of structural steel, modulus of elasticity is (E) of 20×10^6 N/cm^2 . the lengths are given in cm.
Evaluate the 3-DOF wrist as shown in Figure 2, use the conventional method to determine 1. Linear velocity and 2. Angular velocity NOTE: for JOINT 3 ( 03 ) only Connected to robot arm Pitch Roll Yaw Figure 2: Wrist assembly The known position and orientation of the end of the arm point is. C, C2 [-C,S2C3 + S¼S3 -S;S2C3 – C1S3 C2C3 C¡S2S3 + S1C3 S4S2S3 + C,C3 -C2S3 01 S,C2 S2 1 °T3=°T¡'T2²T3
Q3) You have been provided with following types of kinematic links. Can Type of link Numbers Binary 8 Ternary 3 Quaternary 2 Can you form a kinematic chain by selecting suitable number of links from the available quantity as indicated in the table above? Justify your answer. Note; (please provide an answer that is based on the Mechanics of Machines 1 handout MIME 3220)
A frame moves along its n-axis a distance of 2 units and is then rotated about the o-axis an angle 60° followed by a rotation about the z-axis by 90°. It was then translated about the a-axis by 2 units and finally rotated about the x-axis by 45°. Construct the transformation matrix equation. Compute the total transformation performed by the frame. Compute the joint variables that had to be made if similar location and orientation were to be created using cylindrical and RPY configuration. The initial point is located at P=[5 3 4]^T
Question: For The Given 4-DOF Robot: A. Assign Appropriate Frames For The Denavit-... For the given 4-DOF robot: a. Assign appropriate frames for the Denavit-Hartenberg representation. b. Fill out the parameters table. c. Write an equation in terms of A matrices that shows how UTH can be calculated. U # d. a a A1 0-1 A2 1-2 Аз 2 -3 A4 3- H
Consider the figure as shown below. O-XoYoZo is the reference frame and O-X₁Y₁Z₁ is the frame attached to the tool. Sketch the tool position after each intermediate position of the operation of the tool about the reference frame: roll π/2(rotate about Zo), pitch -T/2(rotate about Yo), yaw π/2(rotate about Xo). Please write the final rotation matrix expression. ZI,Zo XI,Xo Yı, Yo
1. Find a combination of link lengths where motion of a point on output link is one quarter of a circle. 2. Find the value of all 0, 0, 0, and y in open and close configuration Read the value of link lengths and the input angle 8., then use the formulae given below to calculate the value of unknowns 03, 0, and y K₁ = = K₂= d K2 K3 = a²-b²+c²+d² 2ac A = cos 0₂ - K₁ - K₂ cos 0₂ + K3 B = -2 sin 0₂ C = K₁ (K₂ + 1) cos 02 + K3 -B± √B²-4AC 2A 0412 = 2tan-1 d K₁ = — K5 = c²d²a²-6² 2ab D = cos 0₂ - K₁ - K4 cos 0₂ + K5 E = -2 sin 0₂ FK₁+ (K₁ - 1) cos 02 +K5 0312 2 tan-1 (-E± -E± √E²4DF 2D Y = 04-03
Solve and Draw the following: Consider a four bar linkage with the following links: L0 = 180mm, L1 = 40mm, L2 = 170 mm. Using grashof criterion, determine the ranges of values for L3 if the linkage is: a) crank-rocker mechanism b) drag link mechanism c) double rocker.