Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256
Variational methods and structural optimization
May-Jun., 2006
Instructor: G. K.
Ananthasuresh, Room 106, ME Building, suresh at
mecheng.iisc.ernet.in
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Homework #2
Assigned: May 15th, 2006
Due: May 22nd, 2006
Points: 20
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6 points
Prove lemma 3 in notes #3 without using lemma 1 or integration by parts.
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4 points
Write down the necessary conditions using Euler-Lagrange equations for a
beam that is clamped at one end and is guided at the other end.
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10 points
For which functional, y = (a*x + b) * cos(x) + (c*x + d) * son(x) and z =
2*y + y'' are the Euler-Lagrange equations? The functional depends on two
functions , viz., y and z while x is the independent variable.