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19 April 2013 Effect of in-structure damping uncertainty on semi-active control performance: a modeling perspective
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The mathematical model of a vibrating structure includes mass, damping and stiffness; out of which mass and stiffness could be defined as a function of the system geometry, whereas damping is more of an observed phenomenon. Despite having a large literature on the subject, the underlying physics is only known in a phenomenological ad-hoc manner, making damping an overall mystery in the general dynamic analysis of structures. A major reason of this could be the fact that there is no single universally accepted model for damping. Common practice is to use the classical viscous damping model originated by Rayleigh, through his famous ‘Rayleigh dissipation function’, with a preconceived damping ratio, irrespective of the purpose or type of analysis involved. This paper investigates the effect of this modelling uncertainty on the analytical prediction of the required control force in a semi-active control application for civil structures. Global classical Rayleigh damping models and global non-viscous damping models are used in the present study. Responses of a laboratory slab strip are simulated and are compared with experimental responses. The comparisons emphasises the fact that the choice of in-structure damping models has a significant effect in the computation of the required control force. The comparison also clearly indicates that mathematically sophisticated models have better prediction capability as compared to the classical Rayleigh model.
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Arun M. Puthanpurayil, Paul Reynolds, and Donald Nyawako "Effect of in-structure damping uncertainty on semi-active control performance: a modeling perspective", Proc. SPIE 8692, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2013, 869233 (19 April 2013);

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