Analogy between mechanical and electrical systems from concepts to applications

Atef ATA; Mohammed Ghazy

Analogy between mechanical and electrical systems from concepts to applications

Atef ATA, Mohammed Ghazy

Abstract

In this paper we investigate the analogy or similarity between mechanical and electrical systems from all aspects. Considerable research in the literature was dedicated to the similarity in dynamic behavior of electric systems compared to mechanical systems. The vibration modes of a circuit which contains resistor, inductor and capacitor are similar to the well-known mass-spring-damper system. Both systems possess a similar mathematical model in the form of a second order differential equation with constant coefficients. As a consequence of this similarity, Lagrange method is borrowed from analytical mechanics to derive the governing equations of electric circuit. Some research showed that this method was found useful especially in complex networks of circuits or circuits with mechanical parts, such as electro-mechanical systems. Hence, in our review we cover also analogy between different types of variables and energy and their nature and mathematical formulation in both mechanical and electrical systems.

Keywords

Electromechanical systems; System analogy ;Lagrange’s equation

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