Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256
Variational methods and structural optimization
Jan.-May, 2013
Instructor: G. K.
Ananthasuresh, Room 106, ME Building, suresh at
mecheng.iisc.ernet.in
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Homework #3
Assigned: Feb. 5, 2013
Due: Feb. 12th, 2013
Points: 40
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".
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20 points
Propose an original (i.e., of your own) problem of calculus of variations. Clearly indicate the variables, objective
function, and constraints (if any), and all the relevant data.
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20 points
Discretize the problem you proposed and find the solution using fmincon (or other) routine in Matlab (or some
other software). Give details of your solution and show that your solution satisfies the KKT necessary conditions.