3. Figure 4 shows a simplified schematic of the drive system of joint 4 of the PUMA 560. The torsional stiffness of the couplings is 200 Nt-m/radian each, that of the shaft is 400 Nt-m/radian, and each of the reduction gear pairs has been measured to have output stiffness of 2000 Nt-m/radian with its input gears fixed. Both the first and second reductions have n=4. Assuming the structure and bearing are perfectly rigid, a) What is the effective stiffness of gear 1 if the electric motor's shaft is locked? b) What is the effective stiffness of gear 3 if the electric motor's shaft is locked? c) What is the stiffness of the joint (i.e., when the motor's shaft is locked)? In other words, find out the effective stiffness of the output gear 4.

3. Figure 4 shows a simplified schematic of the drive system of joint 4 of the PUMA 560. The torsional stiffness of the couplings is 200 Nt-m/radian each, that of the shaft is 400 Nt-m/radian, and each of the reduction gear pairs has been measured to have output stiffness of 2000 Nt-m/radian with its input gears fixed. Both the first and second reductions have n=4. Assuming the structure and bearing are perfectly rigid, a) What is the effective stiffness of gear 1 if the electric motor's shaft is locked? b) What is the effective stiffness of gear 3 if the electric motor's shaft is locked? c) What is the stiffness of the joint (i.e., when the motor's shaft is locked)? In other words, find out the effective stiffness of the output gear 4.

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

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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

3.
Figure 4 shows a simplified schematic of the drive system of joint 4 of
the PUMA 560. The torsional stiffness of the couplings is 200 Nt-m/radian
each, that of the shaft is 400 Nt-m/radian, and each of the reduction gear pairs
has been measured to have output stiffness of 2000 Nt-m/radian with its input
gears fixed. Both the first and second reductions have n=4. Assuming the
structure and bearing are perfectly rigid, a) What is the effective stiffness of
gear 1 if the electric motor's shaft is locked? b) What is the effective stiffness
of gear 3 if the electric motor's shaft is locked? c) What is the stiffness of the
joint (i.e., when the motor's shaft is locked)? In other words, find out the
effective stiffness of the output gear 4.
- Electric motor
-#1 Coupling
Connecting rod
#2 Coupling
-#1 Gear
42 Gear
#3 Gear
- #4 Gear
Figure 4: Simplified version of the driven train of joint 4 of PUMA 560.

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