Optimization problem against a loss of dynamic stability of macroscopic particles in a "Paul trap"

• Autorzy: Foryś A.
• Języki publikacji: EN

Abstrakty

EN

The Mathieu-Hill differential equation is often encountered in engineering and physical problems (1-6). The stability of periodic response of vibrating non-linear systems can be also examined by means of the variational Mathieu-Hill equation. Therefore the problems of optimization of parametrically excited systems described by Mathieu-Hill equation against a loss of stability are important. In this paper an optimization problem for particles in traps, subjected to a parametric excitation in electrical field, periodic in time, is considered. Objective functions characterizing the parametric resonance are introduced. The paper deals with the problem of finding the control parameters, the parameters of particle and surroundings, which maximize one of the objective functions under some constraint.

Słowa kluczowe

PL

funkcja celu dla rezonansu parametrycznego; optymalizacja; optymalizacja z ograniczeniami; równanie rózniczkowe Mathieu-Hilla

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 1999
• Tom: Vol. 40, no 2
• Strony: 235--246
• Opis fizyczny: Bibliogr. 17 poz.,Rys., wykr.,

Twórcy

autor

Foryś A.

• Institute of Physics Cracow University of Technology, 1 Podchorążych Str., 30-084 Kraków, Poland