DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** Frank Baginski, George Washington University

**Title: ***
Structural Analysis of Thin Compliant Pneumatic Envelopes
*

**Abstract:**
Large super-light structural systems that for functional reasons require large surfaces are composed
at least in part of structural membranes. The underconstrained nature of such structural membranes
poses analytical difficulties, and leads to challenging mathematical problems in modeling, analysis,
and numerical simulation. In this talk, we will present a mathematical model that is appropriate for
the analysis of these types of structures. We are motivated by the problem of modeling the shape
of high altitude large scientific balloons that are flown by NASA to carry out research in the
stratosphere, but other applications will be discussed. Using direct methods in the calculus of
variations, we can establish rigorous existence theorems for equilibria of such systems.
The variational approach leads to effective methods for the computation of numerical solutions
which will also be discussed.

**Time:** Friday, Oct. 31, 2008, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491