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Metal rubber (MR) material is a new-type of damping material. Its raw material and fabrication process have same unique features. Wire helix is considered as the unit cell geometry of MR. Combining cylindrical compression coil spring theory, a mechanical model is established for individual wire helix which is located in the horizontal or longitudinal direction. Three contact statuses are analyzed for the neighboring helixes and mechanical models are derived for these cases according to the Kulun model. The arrangement and the spatial distribution of the microelements are assumed to be located evenly and periodically inside the MR. A mathematic model is established to characterize the damping behavior of MR. It came from the unit cell geometry and the fabrication process of MR materials. It is easy to explain the mechanism of hysteresis loop and the nonlinear stiffness and damping characteristic of MR by analyzing contact states and contact number of unit cell wire helixes. Finally, a comparison is made between theoretical results and experimental results. This model is valuable for the analysis of the material mechanics and the design of MR. It provides theoretical support for the further engineering application of MR in the field of vibration reduction.
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Keywords:
- metal rubber /
- wire helix /
- hysteresis loop /
- nonlinear stiffness and damping
[1] Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林敏, 黄咏梅 2006 物理学报 textbf 55 3277]
[2] Zhong W Z, Ke K J, Zhou Z Y, Xia W, Li Y Y 2009 Acta Phys. Sin. 58 5155 (in Chinese) [钟文镇, 何克晶, 周照耀, 夏伟, 李元元 2009 物理学报 textbf 58 5155]
[3] Al K 2002 Ph. D. Dissertation (TX. Texas A&M University)
[4] Ma Y H 2005 Ph. D. Dissertation (Beijing: Beijing University of Aeronautics and Astronautics) (in Chinese) [马艳红 2005 博士学位论文 (北京:北京航空航天大学)]
[5] Ma Y H, Hong J, Zhang D Y, Wang H 2007 Proceedings of ASME TURBO EXPO Montreal, Canada, May 14–17, 2007 27585
[6] Ma Y H, Wang H, Li H Y, Hong J 2008 Proceedings of ASME TURBO EXPO Berlin, Germany, June 9–13, 2008 50961
[7] Bugra H, Ertas B, Luo H 2008 J. Eng. Gas Turbine Power 138 032503
[8] Bugra E, Luo H, Darren H 2009 Proceedings of the 17th American Institute of Aeronautics and Astronautics Palm Springs, California, May 4–7, 2009 2521
[9] Hong J, Zhu B, Ma Y H 2011 Proceedings of ASME TURBO EXPO Vancouver, Canada, June 6–10, 2011 45772
[10] Chegodayev D E (Translated by Li Z Y) (Russia) 2000 The Designing of Components Made of Metal Rubber (Beijing: Publishing Company of National Defence Industry) pp99–124 (in Chinese)[契戈达耶夫 D E. 著 李中郢译 2000 金属橡胶构件的设计 (北京: 国防工业出版社) 第99—124页]
[11] Guo B T 2002 Ph. D. Dissertation (Beijing: Beijing University of Aeronautics and Astronautics) (in Chinese) [郭宝亭 2005 博士学位论文 (北京: 北京航空航天大学)]
[12] Li Y Y 2005 Ph. D. Dissertation (Xian: Xian Jiaotong University) (in Chinese) [李宇燕 2005 博士学位论文 (西安:西安交通大学)]
[13] Shui J P, Liu Y S, Pei H Y 1998 Acta Phys. Sin. 47 658 (in Chinese)[水嘉鹏, 刘咏松, 裴慧元 1998 物理学报 47 658]
[14] Zhang Y H, Liu H H, Wang D C 2008 Spring manual (Beijing: China Machine Press) p280–400 (in Chinese) [张英会, 刘辉航, 王德成 2008 弹簧手册 (北京: 机械工业出版社) 第280—400页]
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[1] Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林敏, 黄咏梅 2006 物理学报 textbf 55 3277]
[2] Zhong W Z, Ke K J, Zhou Z Y, Xia W, Li Y Y 2009 Acta Phys. Sin. 58 5155 (in Chinese) [钟文镇, 何克晶, 周照耀, 夏伟, 李元元 2009 物理学报 textbf 58 5155]
[3] Al K 2002 Ph. D. Dissertation (TX. Texas A&M University)
[4] Ma Y H 2005 Ph. D. Dissertation (Beijing: Beijing University of Aeronautics and Astronautics) (in Chinese) [马艳红 2005 博士学位论文 (北京:北京航空航天大学)]
[5] Ma Y H, Hong J, Zhang D Y, Wang H 2007 Proceedings of ASME TURBO EXPO Montreal, Canada, May 14–17, 2007 27585
[6] Ma Y H, Wang H, Li H Y, Hong J 2008 Proceedings of ASME TURBO EXPO Berlin, Germany, June 9–13, 2008 50961
[7] Bugra H, Ertas B, Luo H 2008 J. Eng. Gas Turbine Power 138 032503
[8] Bugra E, Luo H, Darren H 2009 Proceedings of the 17th American Institute of Aeronautics and Astronautics Palm Springs, California, May 4–7, 2009 2521
[9] Hong J, Zhu B, Ma Y H 2011 Proceedings of ASME TURBO EXPO Vancouver, Canada, June 6–10, 2011 45772
[10] Chegodayev D E (Translated by Li Z Y) (Russia) 2000 The Designing of Components Made of Metal Rubber (Beijing: Publishing Company of National Defence Industry) pp99–124 (in Chinese)[契戈达耶夫 D E. 著 李中郢译 2000 金属橡胶构件的设计 (北京: 国防工业出版社) 第99—124页]
[11] Guo B T 2002 Ph. D. Dissertation (Beijing: Beijing University of Aeronautics and Astronautics) (in Chinese) [郭宝亭 2005 博士学位论文 (北京: 北京航空航天大学)]
[12] Li Y Y 2005 Ph. D. Dissertation (Xian: Xian Jiaotong University) (in Chinese) [李宇燕 2005 博士学位论文 (西安:西安交通大学)]
[13] Shui J P, Liu Y S, Pei H Y 1998 Acta Phys. Sin. 47 658 (in Chinese)[水嘉鹏, 刘咏松, 裴慧元 1998 物理学报 47 658]
[14] Zhang Y H, Liu H H, Wang D C 2008 Spring manual (Beijing: China Machine Press) p280–400 (in Chinese) [张英会, 刘辉航, 王德成 2008 弹簧手册 (北京: 机械工业出版社) 第280—400页]
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