The aim of the paper is to develop a new nonlinear tuned vibration absorber (NLTVA) capable of mitigating the vibrations of nonlinear systems which are known to exhibit frequency-energy-dependent oscillations. A nonlinear generalization of Den Hartog's equal-peak method is proposed to ensure equal peaks in the nonlinear frequency response for a large range of forcing amplitudes. An analytical tuning procedure is developed and provides the load-deflection characteristic of the NLTVA. Based on this prescribed relation, the NLTVA design is performed by two different approaches, namely thanks to (i) analytical formulas of uniform cantilever and doubly-clamped beams and (ii) numerical shape optimization of beams with varying width and thickness. A primary system composed of a cantilever beam with a geometrically nonlinear component at its free end serves to illustrate the proposed methodology.
|Title of host publication||Proceedings of International Conference on Noise and Vibration Engineering (isma2014) and International Conference on Uncertainty in Structural Dynamics (usd2014)|
|Publisher||Katholieke Universiteit Leuven|
|Publication status||Published - 2014|
|Event||International Conference on Noise and Vibration Engineering (ISMA 2014) and International Conference on Uncertainty in Structural Dynamics (USD 2014) - Leuven, Belgium|
Duration: 15 Sep 2014 → 19 Sep 2014
|Conference||International Conference on Noise and Vibration Engineering (ISMA 2014) and International Conference on Uncertainty in Structural Dynamics (USD 2014)|
|Period||15/09/2014 → 19/09/2014|