Spatial damping identification

This dissertation reports a study on the identification of damping in multiple degree-of-freedom systems with particular attention to the spatial location of the sources of energy dissipation. The main focus is in developing practical tools which can be used in real problems to obtain valuable information about the amplitude, the location and the way energy is dissipated in a structure. The physical phenomena involved in the energy dissipation of real vibrating structures are various. All these mechanisms have been studied separately with success by several authors, but there is still considerable doubt on how the damping behaviour should be represented in a suitable manner for engineering applications. Despite viscous damping being widely utilised in software and applications, it is a mathematical approximation of reality and therefore has to be used with an awareness of this limitation. The initial research focuses on the analysis of the existing damping models and identification methods. From the knowledge gained, a new and improved method is developed. The advantages and limitations of each method identified in the literature are considered and used to develop a new method based on the balance between the energy input by external forces and the energy dissipated by damping. This method is able to spatially identify different sources of damping and does not require any information about the inertial and elastic properties of the system provided the full set of measurements is available. This new method has been tested and validated by numerical simulations and by two different experiments on real structures.

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