University of Minnesota
Aerospace Engineering and Mechanics
Spring 2001 Seminar Series

Optimization Problems for Beams Solved Using Pontryagin's Maximum Principle

Prof. William Warner

Department of Aerospace Engineering and Mechanics, University of Minnesota


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
209 Akerman Hall
2:30-3:30 p.m.

**Refreshments served after the seminar in 107 Akerman Hall.
Disability accomodations provided upon request.
Contact Kristal Belisle, Senior Secretary, 625-8000.