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 #6
Assigned: Jun. 16th, 2006
Due: Jun. 21st, 2006
Points: 20
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20 points
Derive the Rayleigh quotient for a beam. And then, extremize it with
respect to the area-parameter (say, side s assuming a square
cross-section) and the transverse displacement (denote by w).