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Title: Dynamic Damping - Comparison of different concepts from the point of view of their physical nature and effects on civil engineering structures (English)
Author: Němec, Ivan
Author: Trcala, Miroslav
Author: Vaněčková, Adéla
Author: Rek, Václav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 107-118
Category: math
Summary: Sources of dynamic damping may be various. Mostly, the damping is implemented into calculations in a form of introduction of damping forces, as a product of the velocity vector and the damping matrix in an equation of motion. In practice, the damping matrix is usually assumed to be a linear combination of the mass matrix and the stiffness matrix (so called Rayleigh’s damping). This kind of damping primarily assumes the external environment viscosity as the source of damping, even though the part of Rayleigh's damping with the stiffness matrix implies the internal damping of the material. Explicitly, the internal viscosity of the material is respected using the appropriate material models. The relation between the Rayleigh damping and the Kelvin-Voight viscosity is shown in the paper. Dynamic damping occurs even when using non-elastic materials, where the unloading takes place in a different path from the loading and thus it leads to dissipation during loading cycles. The paper deals with the comparison of different types of damping of the oscillation of a building structure. The main aim of the paper is to recommend to apply the viscous material model instead of the obsolete and physically unjustified Rayleigh damping in the nonlinear dynamic time analysis of structures. (English)
Keyword: dynamic damping
Keyword: Rayleigh damping
Keyword: material viscosity
MSC: 74C10
MSC: 74H05
MSC: 74H45
DOI: 10.21136/panm.2018.12
Date available: 2019-04-29T13:37:20Z
Last updated: 2021-05-05
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