Engineering Optimization: Theory and Practice, Fourth Edition

50 Introduction to Optimization

Figure 1.18 Locations of circular disks in a rectangular plate.

Figure 1.19 Cone clutch.

(b)What is the solution if the constraintR 1 ≥ 2 R 2 is changed toR 1 ≤ 2 R 2?

(c)Find the solution of the problem stated in part (a) by assuming a uniform wear

condition between the cup and the cone. The torque transmitted(T )under uniform

wear condition is given by

T=

πfpR 2

sinα

(R 12 −R 22 )

Note:Use graphical optimization for the solutions.