Orthogonal functions techniques for the identification of mechanical systems

Abstract

This paper presents orthogonal function techniques for the identification of mechanical systems. For this purpose, mechanical systems are represented by state-space equations and the input and output signals are developed in series of orthogonal functions. The equation of motion can be integrated using numerical techniques together with integration properties specific for orthogonal functions. This procedure permits to obtain a simple algebraic equation, which leads to the determination of the unknown parameters. Different orthogonal functions were tested in numerical and experimental applications, including gyroscopic systems.