Mul, Olena V. (Univ. of Aveiro), Torres, Delfim F. M. (Univ. of Aveiro)

Some Applications of the Method of Normal Fundamental Functions to Oscillation Problems

Scheduled for presentation during the Regular Session "Infinite Dimensional and Distributed Parameter Systems III" (ThP06), Thursday, July 27, 2006, 17:00−17:25, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

We report on the possibilities of using the method of normal fundamental systems for solving boundary problems with continuous and discrete parameters.

Large elastic dynamical systems are widespread in engineering applications. Intensive vibrations in such problems are possible, but not desirable. Therefore, it is very important to obtain conditions for which vibrations take or not-take place. Mathematically, one needs to study partial differential equations with non-classical boundary value conditions. In this paper we overview the methodology of normal fundamental systems for the study of such oscillation problems, which provide an efficient and reliable computational method. The obtained results permit to analise the influence of different system parameters on vibrations, turning possible to compute the feedback optimal parameters for the active vibration control.