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 #7
Assigned: Mar. 26, 2013
Due: Apr. 2nd, 2013
Points: 60
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".

  1. 40 points
    Write and analytically solve the problem to obtain the thickness profile of a tranversely loaded plate for minimizing the strain energy subject to the volume constraint. Take the load q(x,y) and let the plate be rectangular in shape with sides a and b.
  2. 20 points
    Write one-page project proposal outlining the problem you want to solve with a clear mathematical statement of the problem.

    See also Project page.