EXTENSION OF THE FIXED-POINT METHOD FOR THE DESIGN OF GENERAL VISCOELASTIC TMDS

Abstract eng:
The classical fixed-point method provides closed-formulas for the optimal parameters of a tuned mass damper (TMD) when the damping model has instantaneous memory. This method is very usefull for design purpose since it does not require the numerical solving of a complex optimization problem. The use of more complex viscoelastic model with memory such as the classical Maxwell model or more general models add additional parameters that allow more flexibility for the TMD in order to achieve a better vibration mitigation or energy harvesting. The objectif of this research is to extend the fixed-point method to the case of viscoelastic damper with memory. This presentation is mainly focused on vibration mitigation problems involving such viscoelastic TMDs and will also present the extension of the proposed methodology to energy harvesting problems.

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