# University of Minnesota

Aerospace Engineering and Mechanics

**Spring 2001 Seminar Series**

*Optimization Problems for Beams Solved Using Pontryagin's Maximum
Principle*

*Abstract*

### 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.