Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256
Variational methods and structural optimization
Jan.-May, 2012
Instructor: G. K.
Ananthasuresh, Room 106, ME Building, suresh at
mecheng.iisc.ernet.in
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Homework #6
Assigned: Feb. 21, 2012
Due: Feb. 28, 2012
Points: 40
Additional points for work that is beyond instructor's expectation!
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20 points
Solve the following constrained optimization problem set in the framework of calculus of variations problem and show your detailed steps.
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10 points
Find f(x,y) that minimizes the following functional.
J = int(x1 to x2) { sqrt(x^2 + y^2) * sqrt(1+y'^2) } dx
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10 points
What functional when minimized will give ay" + by' + cy = 0 as its necessary condition?