Optimal Design of Hysteretic Nonlinear Energy Sink for Suppression of Limit Cycle Oscillations of a Flapping Airfoil

2020 ◽  
pp. 363-375
Author(s):  
Omkar Ghosh ◽  
Sourav Das
Keyword(s):  
Optimal Design ◽  
Limit Cycle ◽  
Nonlinear Energy Sink ◽  
Limit Cycle Oscillations ◽  
Energy Sink ◽  
Flapping Airfoil ◽  
Nonlinear Energy

Suppression of Limit Cycle Oscillations in a Van der Pol Oscillator by Means of a Passive Nonlinear Energy Sink

2005 ◽  
Author(s):  
Young S. Lee ◽  
Alexander F. Vakakis ◽  
Lawrence A. Bergman ◽  
D. Michael McFarland
Keyword(s):  
Vibration Control ◽  
Limit Cycle ◽  
Nonlinear Energy Sink ◽  
Van Der Pol Oscillator ◽  
Numerical Continuation ◽  
Parameter Study ◽  
Limit Cycle Oscillations ◽  
Van Der Pol ◽  
Energy Sink ◽  
Nonlinear Energy

We present a study of passive but efficient vibration control, wherein a so-called nonlinear energy sink (NES) completely eliminates the limit cycle oscillations (LCOs) of a van der Pol oscillator. We first perform a parameter study in order to get overall understanding of responses with respect to parameters. Then, we establish a slow flow dynamics model to perform analytical study of the suppression mechanism which corresponds to classical nonlinear energy pumping, i.e., passive, broadband, and targeted energy transfer through 1:1 resonance capture. Utilizing the method of numerical continuation of equilibrium, we also study the bifurcation of the steady state solutions. It turns out that the system may have either subcritical or supercritical LCOs, and that for some parameter domain the LCOs are completely eliminated. This suggests applicability of the NES to vibration control in self-excited systems.

scholarly journals Global Dynamics and Optimal Design of a New Highly Efficient Nonlinear Energy Sink Based on Magnetic-Elastic Impacts with Negative Stiffness

2021 ◽  
Author(s):  
Shuangbao Li ◽  
Tingting Wang ◽  
Jianen Chen
Keyword(s):  
Energy Dissipation ◽  
Optimal Design ◽  
Nonlinear Energy Sink ◽  
Negative Stiffness ◽  
Global Dynamics ◽  
Elastic Impact ◽  
Highly Efficient ◽  
Dissipation Rates ◽  
Energy Sink ◽  
Nonlinear Energy

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.

scholarly journals Robustness and reliability investigations on a nonlinear energy sink device concept

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.

Comments on Energy Harvesting on a 2:1 Internal Resonance Portal Frame Support Structure, Using a Nonlinear-Energy Sink as a Passive Controller

2016 ◽  
Vol 10 (3) ◽  
pp. 147 ◽  
Author(s):  
Rodrigo Tumolin Rocha ◽  
Jose Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Vinicius Piccirillo ◽  
Jorge Luis Palacios Felix
Keyword(s):  
Energy Harvesting ◽  
Internal Resonance ◽  
Nonlinear Energy Sink ◽  
Support Structure ◽  
Portal Frame ◽  
Energy Sink ◽  
Nonlinear Energy
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