Abstract
In this work, the reliability and robustness of a nonlinear energy sink device concept are investigated. The system is studied and optimized in deterministic and probabilistic cases. It is also studied under various types of uncertainty modelings with different reliability based robust design optimization formulations. The obtained results reveal the sensitivity of the device to the input uncertainties. The optimal designs obtained with the formulation under uncertainties are very different from the deterministic optimal design. New system configurations are obtained which ensure robust, highly reliable designs. In addition, a comparison is made between the different formulations and a conclusion is drawn about the suitable formulations for such a problem.
Highlights
Vibration mitigation, and energy dissipation in mechanical systems is a rapidly evolving field
Energy dissipation in mechanical systems is a rapidly evolving field. The evolution in this domain comes from the need to design more rigorous devices of vibration mitigation
This differentiation does not change the size of the problem variables, because the optimization is controlled by the nominal values
Summary
Energy dissipation in mechanical systems is a rapidly evolving field A physical NES system has been designed by Qiu et al [16], the system being designed with two pairs of conical and cylindrical springs This is the system that we will investigate in the present work. The obtained results are compared and some conclusions regarding the problem formulation and uncertainties modeling choice are outlined. Deterministic optimization of the NES system could locate a nonrobust optimum This phenomena was studied and detailed in [17,18,19,20]. This activation threshold can make the NES system highly sensitive to uncertainties on the design parameters and loading conditions, including the primary structure.
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