Benzer elektrik ve mekanik sistemlerde kaotik davranış: Kuplaj LC-devreleri–kuplaj çift sarkaç

Abstract

In this study, the analogous electrical and mechanical systems are compared. An electrical circuit may be defined as a physical entity in which may be specified in terms of time and a single dimension. The number of independent variables necessary to the motion of a vibrating system is a mesaure of the number of degrees of freedom of the system. If only a single variable is needed the system is found to have a single degree of freedom. Number of degrees of freedom in electrical circuits independently of closed loop or circuit is equal to the number. This method has been used extensively for electrical circuits can be applied to any analytically similar mechanical system. Kirchhoff's electromotive force law plays the same role in setting up the electrical circuits as D'Alembert's principle does in setting up the mechanical systems. The main objective of this thesis is that some electrical and mechanical systems show similarities between them. Thus, the motion of a vibration system by analyzing electric circuits could also use any mechanical system similar shows. In the first part of the thesis that the two systems well known in the literature "Mass - Spring - Damper System" and "Resistance - inductor-capacitor (RLC) Circuit" were compared. In the second part "Coupling double pendulum" and "Coupling LC-circuit" has been examined to comparing the similarities and chaotic structure was observed. Keywords: Analogues electrical and mechanical systems, double pendulum, LC-circuits, chaotic circuits.