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Shock and Vibration
Volume 2014, Article ID 565181, 10 pages
Research Article

Mathematical Modeling of a Transient Vibration Control Strategy Using a Switchable Mass Stiffness Compound System

1Universidad Autónoma de Nuevo León, Facultad de Ingeniería Mecánica y Eléctrica. Avenida Universidad s/n, 66451 San Nicolás de los Garza, NL, Mexico
2Institute of Sound and Vibration Research, University of Southampton, Southampton SO17 1BJ, UK

Received 1 November 2013; Accepted 10 March 2014; Published 31 March 2014

Academic Editor: Jeong-Hoi Koo

Copyright © 2014 Diego Francisco Ledezma-Ramirez 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.


A theoretical control strategy for residual vibration control resulting from a shock pulse is studied. The semiactive control strategy is applied in a piecewise linear compound model and involves an on-off logic to connect and disconnect a secondary mass stiffness system from the primary isolation device, with the aim of providing high energy dissipation for lightly damped systems. The compound model is characterized by an energy dissipation mechanism due to the inelastic collision between the two masses and then viscous damping is introduced and its effects are analyzed. The objective of the simulations is to evaluate the transient vibration response in comparison to the results for a passive viscously damped single degree-of-freedom system considered as the benchmark or reference case. Similarly the decay in the compound system is associated with an equivalent decay rate or logarithmic decrement for direct comparison. It is found how the compound system provides improved isolation compared to the passive system, and the damping mechanisms are explained.