This paper is devoted to the study of a nonlinear energy sink (NES) intended to attenuate vibration induced in a harmonically forced linear oscillator (LO) and working under the principle of targeted energy transfer (TET). The purpose motivated by practical considerations is to establish a design criterion that first ensures that the NES absorber is activated and second provides the optimally tuned nonlinear stiffness for efficient TET under a given primary system specification. Then a novel NES design yielding cubic stiffness without a linear part is exploited. To this end, two conical springs are specially sized to provide the nonlinearity. To eliminate the linear stiffness, the concept of a negative stiffness mechanism is implemented by two cylindrical compression springs. A small-sized NES system is then developed. To validate the concept, a sensitivity analysis is performed with respect to the adjustment differences of the springs and an experiment on the whole system embedded on an electrodynamic shaker is studied. The results show that this type of NES can not only output the expected nonlinear characteristics, but can also be tuned to work robustly over a range of excitation, thus making it practical for the application of passive vibration control.
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January 2018
Research-Article
Tuned Nonlinear Energy Sink With Conical Spring: Design Theory and Sensitivity Analysis
Donghai Qiu,
Donghai Qiu
Changchun Institute of Optics,
Fine Mechanics and Physics,
Chinese Academy of Sciences,
Changchun 130033, China;
University of Chinese Academy of Sciences,
Beijing 100049, China;
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: donghai.qiu@insa-toulouse.fr
Fine Mechanics and Physics,
Chinese Academy of Sciences,
Changchun 130033, China;
University of Chinese Academy of Sciences,
Beijing 100049, China;
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: donghai.qiu@insa-toulouse.fr
Search for other works by this author on:
Sébastien Seguy,
Sébastien Seguy
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: sebastien.seguy@insa-toulouse.fr
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: sebastien.seguy@insa-toulouse.fr
Search for other works by this author on:
Manuel Paredes
Manuel Paredes
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: manuel.paredes@insa-toulouse.fr
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: manuel.paredes@insa-toulouse.fr
Search for other works by this author on:
Donghai Qiu
Changchun Institute of Optics,
Fine Mechanics and Physics,
Chinese Academy of Sciences,
Changchun 130033, China;
University of Chinese Academy of Sciences,
Beijing 100049, China;
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: donghai.qiu@insa-toulouse.fr
Fine Mechanics and Physics,
Chinese Academy of Sciences,
Changchun 130033, China;
University of Chinese Academy of Sciences,
Beijing 100049, China;
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: donghai.qiu@insa-toulouse.fr
Sébastien Seguy
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: sebastien.seguy@insa-toulouse.fr
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: sebastien.seguy@insa-toulouse.fr
Manuel Paredes
Institut Clément Ader (ICA), CNRS,
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: manuel.paredes@insa-toulouse.fr
INSA-ISAE-Mines Albi-UPS,
Université de Toulouse,
3 rue Caroline Aigle,
Toulouse F-31400, France
e-mail: manuel.paredes@insa-toulouse.fr
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received July 24, 2017; final manuscript received October 17, 2017; published online November 9, 2017. Assoc. Editor: Ettore Pennestri.
J. Mech. Des. Jan 2018, 140(1): 011404 (10 pages)
Published Online: November 9, 2017
Article history
Received:
July 24, 2017
Revised:
October 17, 2017
Citation
Qiu, D., Seguy, S., and Paredes, M. (November 9, 2017). "Tuned Nonlinear Energy Sink With Conical Spring: Design Theory and Sensitivity Analysis." ASME. J. Mech. Des. January 2018; 140(1): 011404. https://doi.org/10.1115/1.4038304
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