Publication detail

Dynamic Damping - Comparison of different concepts from the point of view of their physical nature and effects on civil engineering structures

NĚMEC, I. TRCALA, M. VANĚČKOVÁ, A. REK, V.

Original Title

Dynamic Damping - Comparison of different concepts from the point of view of their physical nature and effects on civil engineering structures

Type

conference paper

Language

English

Original Abstract

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.

Keywords

dynamic damping; Rayleigh damping; material viscosity;

Authors

NĚMEC, I.; TRCALA, M.; VANĚČKOVÁ, A.; REK, V.

Released

29. 6. 2018

Location

Hejnice

ISBN

978-80-85823-69-1

Book

Programs and Algorithms of Numerical Mathematics Proceedings of Seminar

Pages from

107

Pages to

118

Pages count

12

URL

BibTex

@inproceedings{BUT170440,
  author="Ivan {Němec} and Miroslav {Trcala} and Adéla {Gálová} and Václav {Rek}",
  title="Dynamic Damping - Comparison of different concepts from the point of view of their physical nature and effects on civil engineering structures",
  booktitle="Programs and Algorithms of Numerical Mathematics Proceedings of Seminar",
  year="2018",
  pages="107--118",
  address="Hejnice",
  doi="10.21136/panm.2018.12",
  isbn="978-80-85823-69-1",
  url="https://dml.cz/bitstream/handle/10338.dmlcz/703074/PANM_19-2018-1_15.pdf"
}