Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions

doi:10.1007/s10483-019-2548-9

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (12): 1791-1804.doi: https://doi.org/10.1007/s10483-019-2548-9

Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions

Yewei ZHANG¹, Kefan XU¹, Jian ZANG¹, Zhiyu NI¹, Yunpeng ZHU², Liqun CHEN^3,4,5

1. College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China;
2. Department of Automatic Control and Systems Engineering, Sheffield University, Mapping Street Sheffield S1 3JD, U.K.;
3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
4. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
5. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

收稿日期:2019-05-14 修回日期:2019-07-13 出版日期:2019-12-03 发布日期:2019-11-20
通讯作者: Liqun CHEN E-mail:lqchen@staff.shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11772205), the Scientific Research Fund of Liaoning Provincial Education Department (No. L201703), the Liaoning Revitalization Talent Program (No. XLYC1807172), and the Training Project of Liaoning Higher Education Institutions in Domestic and Overseas (No. 2018LNGXGJWPY-YB008)

Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions

Yewei ZHANG¹, Kefan XU¹, Jian ZANG¹, Zhiyu NI¹, Yunpeng ZHU², Liqun CHEN^3,4,5

1. College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China;
2. Department of Automatic Control and Systems Engineering, Sheffield University, Mapping Street Sheffield S1 3JD, U.K.;
3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
4. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
5. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

Received:2019-05-14 Revised:2019-07-13 Online:2019-12-03 Published:2019-11-20
Contact: Liqun CHEN E-mail:lqchen@staff.shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11772205), the Scientific Research Fund of Liaoning Provincial Education Department (No. L201703), the Liaoning Revitalization Talent Program (No. XLYC1807172), and the Training Project of Liaoning Higher Education Institutions in Domestic and Overseas (No. 2018LNGXGJWPY-YB008)

摘要/Abstract

摘要： A novel vibration isolation device called the nonlinear energy sink (NES) with NiTiNOL-steel wire ropes (NiTi-ST) is applied to a whole-spacecraft system. The NiTi-ST is used to describe the damping of the NES, which is coupled with the modified Bouc-Wen model of hysteresis. The NES with NiTi-ST vibration reduction principle uses the irreversibility of targeted energy transfer (TET) to concentrate the energy locally on the nonlinear oscillator, and then dissipates it through damping in the NES with NiTi-ST. The generalized vibration transmissibility, obtained by the root mean square treatment of the harmonic response of the nonlinear output frequency response functions (NOFRFs), is first used as the evaluation index to analyze the whole-spacecraft system in the future. An optimization analysis of the impact of system responses is performed using different parameters of NES with NiTi-ST based on the transmissibility of NOFRFs. Finally, the effects of vibration suppression by varying the parameters of NiTi-ST are analyzed from the perspective of energy absorption. The results indicate that NES with NiTi-ST can reduce excessive vibration of the whole-spacecraft system, without changing its natural frequency. Moreover, the NES with NiTi-ST can be directly used in practical engineering applications.

关键词: nonlinear energy sink (NES), vibration isolation, NiTiNOL-steel wire rope (NiTi-ST), nonlinear output frequency response function (NOFRF), root mean square, transmissibility

Abstract: A novel vibration isolation device called the nonlinear energy sink (NES) with NiTiNOL-steel wire ropes (NiTi-ST) is applied to a whole-spacecraft system. The NiTi-ST is used to describe the damping of the NES, which is coupled with the modified Bouc-Wen model of hysteresis. The NES with NiTi-ST vibration reduction principle uses the irreversibility of targeted energy transfer (TET) to concentrate the energy locally on the nonlinear oscillator, and then dissipates it through damping in the NES with NiTi-ST. The generalized vibration transmissibility, obtained by the root mean square treatment of the harmonic response of the nonlinear output frequency response functions (NOFRFs), is first used as the evaluation index to analyze the whole-spacecraft system in the future. An optimization analysis of the impact of system responses is performed using different parameters of NES with NiTi-ST based on the transmissibility of NOFRFs. Finally, the effects of vibration suppression by varying the parameters of NiTi-ST are analyzed from the perspective of energy absorption. The results indicate that NES with NiTi-ST can reduce excessive vibration of the whole-spacecraft system, without changing its natural frequency. Moreover, the NES with NiTi-ST can be directly used in practical engineering applications.

Key words: nonlinear energy sink (NES), vibration isolation, NiTiNOL-steel wire rope (NiTi-ST), nonlinear output frequency response function (NOFRF), root mean square, transmissibility

中图分类号:

74H45

Yewei ZHANG, Kefan XU, Jian ZANG, Zhiyu NI, Yunpeng ZHU, Liqun CHEN. Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(12): 1791-1804.

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Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions

Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions

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