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 #6
Assigned: Feb. 22nd, 2018
Due: Mar. 1st, 2018
Points: 40 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".
18 points
Derive the transversality conditions for a functional with variable end-conditions for the problem given below.
Use Lecture 15 to see the final result that you should derive.
22 points
Prove the principle of conservation of linear momentum for a system of N particle using Noether's theorem applied to the action integral obtained using the invariance under translational transformation. Use Lecture 16 as a guide where conservation of angular momentum is derived.
