Robust design optimization for SMA based nonlinear energy sink with negative stiffness and friction

Abstract A new highly efficient elastic-impact bistable nonlinear energy sink (EI-BNES) based on magnetic-elastic impacts with negative stiffness and bistability is proposed and optimized through global dynamical analysis. The EI-BNES has better robustness and higher energy dissipation rates with nearly more than 96.5\% for broadband impulsive excitations than the traditional cubic NESs and single bistable NESs. The structure of negative stiffness impacts is realized by reasonable layout of permanent ring magnets and springs. A two-degree-of-freedom (two-DOF) elastic-impact system is established to describe the coupled nonlinear interaction between the main structure and the attached EI-BNES. A global Melnikov reduction analysis (GMRA) is proposed to study global dynamics and homoclinic bifurcations of the reduced two-dimensional subsystem, which is used to explain the mechanism of nonlinear targeted energy transfer (TET) and detect the threshold of impulsive amplitudes of EI-BNES for in-well and compound motions between in-well and cross-well resonance responses. A special type of saddle-center equilibrium points is also found in the non-smooth system of the EI-BNES and can be used to effectively increase the energy dissipation rates. The optimal design criterion of the tuned EI-BNES for better dissipation performance is also first discussed based on the GMRA and numerical techniques for calculating the Melnikov function of the non-smooth systems. The effectiveness of the analytical GMRA is also verified by numerical simulations.

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Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction

Structural Control and Health Monitoring ◽

10.1002/stc.2437 ◽

2019 ◽

Vol 26 (11) ◽

Cited By ~ 5

Author(s):

Yangyang Chen ◽

Zhichao Qian ◽

Kai Chen ◽

Ping Tan ◽

Solomon Tesfamariam

Keyword(s):

Seismic Performance ◽

Sliding Friction ◽

Nonlinear Energy Sink ◽

Negative Stiffness ◽

Energy Sink ◽

Nonlinear Energy

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Reliability-based optimization of nonlinear energy sink with negative stiffness and sliding friction

Journal of Sound and Vibration ◽

10.1016/j.jsv.2020.115560 ◽

2020 ◽

Vol 485 ◽

pp. 115560 ◽

Cited By ~ 1

Author(s):

Sourav Das ◽

Solomon Tesfamariam ◽

Yangyang Chen ◽

Zhichao Qian ◽

Ping Tan ◽

...

Keyword(s):

Sliding Friction ◽

Nonlinear Energy Sink ◽

Negative Stiffness ◽

Energy Sink ◽

Reliability Based Optimization ◽

Nonlinear Energy

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Robustness and reliability investigations on a nonlinear energy sink device concept

Mechanics & Industry ◽

10.1051/meca/2020075 ◽

2020 ◽

Vol 21 (6) ◽

pp. 603

Author(s):

Oussama Braydi ◽

Christian Gogu ◽

Manuel Paredes

Keyword(s):

Optimal Design ◽

Nonlinear Energy Sink ◽

Optimal Designs ◽

Robust Design Optimization ◽

Energy Sink ◽

Reliability And Robustness ◽

System Configurations ◽

Input Uncertainties ◽

Nonlinear Energy ◽

New System

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.

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