Different Approaches to Modeling of Proportional Damping

Abstract:

This article is focused on the comparison of mathematical models, which are usable for description of damping in the linear proportional systems with single and multi degrees of freedom (SDOF and MDOF). The viscous and hysteretic models have been applied on the SDOF system. The hysteretic damping, Rayleigh's and Caughey's damping matrices have been mentioned and considered for modeling of damping in systems with more than one degree of freedom. The wellknown Rayleigh's model is proportional to the mass and stiffness matrices. Caughey's model is more general than Rayleigh's. This model is able to prescribe an arbitrary number of damping ratios, but on the other hand using odd number of members in Caughey's series should not be allowed due to the negative values of damping ratios in higher modes, which brings self exciting effect. The hysteretic model is defined only in the frequency domain therefore the frequency response functions of each model have been compared.

• Periodical: Applied Mechanics and Materials (Volume 769)
• Pages: 166-171
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.769.166
• Online since: June 2015
• Authors: Vladimír Sana
• Keywords: Caughey’s Damping Model, Hysteretic Damping, Rayleigh’s Damping Model

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