Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256 Variational Methods and Structural Optimization Jan.-May., 2019
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 #8
Assigned: Apr. 11th, 2019
Due: Mar. 18th, 2019
Points: 100
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".

1. 60 points
   Derive the Rayleigh quotient for the two eigenvalue problems given below. Pose a minimization problem to obtain any eigenvalue for both.
   
   
2. 40 points
   A multi-physics topology optimization problem for electro-statically actuated microstructure is formulated as follows. Do all the analytical steps that are necessary to set up the numerical update scheme to solve this problem using the optimality criteria method.