A COMPLETE MODEL FOR DAMPING IN LINEAR SYSTEMS

摘要

Damping causes vibration to decay and prevents a resonant structure from having infinite vibration amplitudes. Damping is therefore an essential component in any vibration model. It is shown that the traditional model of a mass spring and viscous damper is incomplete. In general, an additional term must be added to the commonly used vibration models to account for damping effects. Examples of these additional terms are generated by using damping models that are mathematically complete and do not rely on experimental data. This approach provides a novel and purely theoretical method for tackling damping issues. Analysis of several simple systems enables a generic damping model to be proposed. Despite the increased complexity of the proposed damping model it emerges that viscous dampers, combined with springs are a widely applicable and correct damping model.