Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India Optimization hinders evolution! ME256
Variational Methods and Structural Optimization
Jan.-May., 2014
Instructor:
G. K.
Ananthasuresh
, Room 106, ME Building,
suresh at
mecheng.iisc.ernet.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM;
Venue: ME MMCR (Multimedia Classroom)
Homework #2
Assigned: Jan. 17th, 2014
Due: Jan. 23rd, 2014
Points: 30 Additional points for work that is beyond instructor's expectation!
Look up Homework #1 of 2010 offering of this course and the solution posted there to know what is meant by "beyond instructor's expectation".
10 points
Another geodesic problem: As shown in the figure, given two points (A and B) on the outside wall and one point (C) on the inside wall of a cylindrical well,
one has to go from A to C and then to B along a least-distance path. Find and sketch such a path. Neglect the width of the wall.
10 points
Formulate the above problem as an unconstrained minimization prolem in two variables and draw its contours in a 2D plane.
10 points
Solve the two-variable optimization problem using Matlab's optimization tool-box.Verify the necessary and sufficient
conditions for the minimum that you find.
