Introduction
Characterization of damping forces in a vibrating structure has long been an active area of research in structural dynamics. The most common approach to model viscous forces is to use the so-called viscous damping, first introduced by Lord Rayleigh (1877), which relies on the assumption that the damping matrix is a linear combination of the mass and stiffness matrices. Since its introduction, this model has been used extensively and is now usually known as Rayleigh damping or classical damping (Argyris and Mlejnek 1991; Clough and Penzien 1993). With such a damping model, the modal analysis procedure, originally developed for undamped systems, can be used to analyze damped systems in a very similar manner.
In reality, physical structures or systems are generally comprised of many substructures tied together in various fashions. These substructures can be made up of a...
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References
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Vasta, M. (2014). Classically and Nonclassically Damped Multi-degree of Freedom (MDOF) Structural Systems, Dynamic Response Characterization of. In: Beer, M., Kougioumtzoglou, I., Patelli, E., Au, IK. (eds) Encyclopedia of Earthquake Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36197-5_159-1
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DOI: https://doi.org/10.1007/978-3-642-36197-5_159-1
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