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
Back to homepage of the course

Homework #3
Assigned: May 23rd, 2006
Due: May 29th, 2006
Points: 20

  1. 10 points
    Consider an integrand of a functional that is a function of (x,y,y',y'',y''') with the end limits on x veing a and b. Write down the Euler-Lagrange necessary conditions and the boundary condition.
  2. 10 points
    Among all curves joining a given point (0,b) on the y-axis to a point on the x-axis and enclosing a given area S together with the x-axis, find the curve which generates the least area when rotated about the x-axis.