Unintended Consequences of Modeling Damping in Structures: Rayleigh Damping
Publication: Structures Congress 2006: 17th Analysis and Computation Specialty Conference
Abstract
This paper investigates the consequence of using Rayleigh proportional damping in the analysis of inelastic structural systems. The discussion is presented theoretically, as well as by example through the analysis of a simple 5-story structure. It is shown that when the stiffness portion of the system damping matrix is based on the original system stiffness, artificial damping is generated when the structure yields. When the damping matrix is based on the tangent stiffness but the Rayleigh proportionality constants are based on the initial stiffness, a significant but reduced amplification of damping occurs. When the damping is based on the tangent stiffness and on updated frequencies based on this stiffness, virtually no artificial damping occurs. The paper also investigates the influence on effective damping when localized yielding occurs in areas of concentrated inelasticity. In such cases it is possible to develop artificial viscous damping forces that are extremely high, but that are not easy to detect. Such artificial damping forces may lead to completely invalid analysis. The paper ends with recommendations for performing analysis where the artificial damping is eliminated, or at least controlled.
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© 2006 American Society of Civil Engineers.
History
Published online: Jun 20, 2012
ASCE Technical Topics:
- Continuum mechanics
- Damping
- Dynamics (solid mechanics)
- Elasticity and Inelasticity
- Engineering fundamentals
- Engineering mechanics
- Material mechanics
- Material properties
- Materials engineering
- Mathematical functions
- Mathematics
- Matrix (mathematics)
- Mechanical properties
- Models (by type)
- Solid mechanics
- Stiffening
- Structural analysis
- Structural behavior
- Structural dynamics
- Structural engineering
- Structural models
- Structural systems
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