Contents/conteúdo

Mathematics Department Técnico Técnico

Colloquium  RSS

23/05/2000, 17:00 — 18:00 — Amphitheatre Pa1, Mathematics Building
Kumbakonam Rajagopal, Texas A and M University, College Station, USA

The Role of Mathematics in Several Areas of Mechanical Engineering

A variety of mathematical tools are used in modeling the various processes that mechanical engineers are concerned with. In addition to classical ordinary and partial differential equations that occur naturally in problems involving the mechanics of fluids and solids, and integral-differential models for materials with memory, novel materials provide challenges in developing averaging methods and homogenization procedures. Control of mechanical systems have invoked the use of fuzzy sets and fuzzy logic and Banach algebras, randomness and indeterminacy inherent to certain problems have required sophisticated mathematical tools based on probability and statistics, and material symmetry consideration require appeal to group theory. Here, I shall discuss some of the mathematical tools used in the study of a variety of problems that confronts mechanical engineers.
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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.


Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.