University of Minnesota
Aerospace Engineering and Mechanics
Spring 2001 Seminar Series
Optimization Problems for Beams Solved Using Pontryagin's Maximum
Two explicit examples for Euler-Bernoulli beams in equilibrium analogous to
those previously solved for rods will be given: (1) Minimum energy with respect
to both curvature and cross-sectional area (or concentration density), with the
latter subject to inequality constraints and a total volume constraint; (2)
minimum volume or weight with inequality constraints both on area and allowable
bending stress. The method used will be the Maximum Principle.
Friday, February 16, 2001
**Refreshments served after the seminar in
107 Akerman Hall.
Disability accomodations provided upon request.
Contact Kristal Belisle, Senior