Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India Optimization hinders evolution! ME256
Variational Methods and Structural Optimization
Jan.-May., 2018
Instructor:
G. K.
Ananthasuresh
, Room 106, ME Building,
suresh at
mecheng.iisc.ernet.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM;
Venue: ME MMCR
Homework #4
Assigned: Feb. 1st, 2018
Due: Feb. 8th, 2018
Points: 30 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".
7 + 7 + 7 = 21 points
For each of the functionals below, write the Euler-Lagrange equations including the boundary conditions.
3 + 3 + 3 = 9 points
Give a physical situation for each of the three problems above (J1, J2, and J3). That is, for what problem the minimization of j1, J2, and J3 makes sense? Interpret the boundary conditions and the differential equation too.
