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Modelling and Simulation in Engineering
Volume 2017 (2017), Article ID 3258376, 18 pages
Research Article

Numerical Modal Analysis of Vibrations in a Three-Phase Linear Switched Reluctance Actuator

1Instituto de Telecomunicações (IT), Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal
2Polytechnic Institute of Castelo Branco, School of Technology, Av. Empresário, S/N, 6000-767 Castelo Branco, Portugal
3University of Beira Interior, Faculty of Engineering, Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal
4Center for Mechanical and Aerospace Science and Technologies (C-MAST), Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal

Correspondence should be addressed to José Salvado; tp.bcpi@odavlasesoj

Received 5 December 2016; Revised 6 February 2017; Accepted 12 March 2017; Published 18 April 2017

Academic Editor: Min-Chie Chiu

Copyright © 2017 José Salvado et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper addresses the problem of vibrations produced by switched reluctance actuators, focusing on the linear configuration of this type of machines, aiming at its characterization regarding the structural vibrations. The complexity of the mechanical system and the number of parts used put serious restrictions on the effectiveness of analytical approaches. We build the 3D model of the actuator and use finite element method (FEM) to find its natural frequencies. The focus is on frequencies within the range up to nearly 1.2 kHz which is considered relevant, based on preliminary simulations and experiments. Spectral analysis results of audio signals from experimental modal excitation are also shown and discussed. The obtained data support the characterization of the linear actuator regarding the excited modes, its vibration frequencies, and mode shapes, with high potential of excitation due to the regular operation regimes of the machine. The results reveal abundant modes and harmonics and the symmetry characteristics of the actuator, showing that the vibration modes can be excited for different configurations of the actuator. The identification of the most critical modes is of great significance for the actuator’s control strategies. This analysis also provides significant information to adopt solutions to reduce the vibrations at the design.