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Advances on Analysis and Control of Vibrations: Theory and Applications

Advances on Analysis and Control of Vibrations: Theory and Applications

     This ebook is a compilation of some selected articles devoted to the analysis and control of vibrations. Vibrations are a phenomenon found in many engineering systems; their harmful effects are translated into low performance, noise, energy misspend, discomfort and system breakdown, among others. These are the reasons why, in the last years, researchers have made great efforts in seeking ways to eliminate them totally or partially.

     The subject of vibrations has been studied for a long time. Although a wide variety of practical solutions to this problem have been found so far, several problems remain still open. Complex in nature, the ideal solution to vibration mitigation goes hand in hand with technologies that can also be mathematically and physically complex. With the advent of new technologies, sophisticated damping devices that greatly help in this work have been developed too. However, in order to make them perform optimally, new theoretical tools and deep understanding of their dynamics are required; that is why nowadays great efforts are made in this sense in this branch of the science.

     This pdf book goes through some of the most recent advances in the analysis and control of vibrations. On the one hand, some chapters bring out novel theoretical developments on the analysis of vibrations; on the other hand, other chapters reveal specific applications in areas as diverse as, for instance, vehicle suspension systems, vehicle-engine-body systems, wind turbines for energy production and civil engineering structures. These pages take us up to different classical, yet effective control methodologies, as the researchers build new theories and applications upon them.

     In this study, understanding of nonlinearity in the frequency domain is investigated from a novel viewpoint for Volterra systems. The system output spectrum is shown to be an alternating series with respect to some model parameters under certain conditions. This property has great significance in that the system output spectrum can therefore be easily suppressed by tuning the corresponding parameters. This provides a novel insight into the nonlinear influence in a system. The sufficient (and necessary) conditions in which the output spectrum can be transformed into an alternating series are studied. These results are illustrated by two example studies which investigated a single degree of freedom (SDOF) springdamping system with a cubic nonlinear damping. The results established in this study demonstrate a novel characteristic of the nonlinear influence in the frequency domain, and provide a novel insight into the analysis and design of nonlinear vibration control systems.

     The design of controllers for the rejection of multisine disturbances with time-varying frequencies is considered. The frequencies are assumed to be known. Such a control problem frequently arises in active noise and vibration control (ANC/AVC) applications where the disturbances are caused by imbalances due to rotating or oscillating masses or periodically fluctuating excitations, for example the torque of a combustion engine, and the rotational speed is measured. Application examples are automobiles and aircrafts.

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