Optimal generalized Bingham number control for a magnetorheological shock mitigation system
WANG Cheng1,WANG Mukai2,YU Dong2,CHEN Zhaobo2,YAN Hui2
1. Beijing Satellite Manufacturing Factory Co., Ltd., Beijing 100191, China;
2. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Abstract:Based on the theoretical and experimental analysis of the damping force characteristics of a magnetorheological shock absorber (MRSA), the dynamic equation of a single degree of freedom shock mitigation system considering quadratic damping was established, and the generalized Bingham number (GBN) was defined. An optimal generalized Bingham number control strategy of magnetorheological shock mitigation system considering quadratic damping was proposed to achieve a soft landing. The acceleration, velocity, and displacement formulas of the payload were deduced, and the dynamic response of the magnetorheological shock mitigation system under different generalized Bingham numbers was analyzed. Simulation analysis and experimental tests verify that the optimal generalized Bingham number control strategy based on quadratic damping is superior to the optimal Bingham number control strategy based on linear damping in terms of soft landing control accuracy.
王成,王目凯,于东,陈照波,闫辉. 磁流变冲击缓冲系统最优广义宾汉数控制[J]. 振动与冲击, 2022, 41(16): 1-9.
WANG Cheng,WANG Mukai,YU Dong,CHEN Zhaobo,YAN Hui. Optimal generalized Bingham number control for a magnetorheological shock mitigation system. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(16): 1-9.
[1] 白先旭,杨森. 磁流变半主动落锤冲击缓冲系统的 “软着陆” 控制试验与分析[J]. 机械工程学报,2021, 57(1): 121-127.
BAI Xianxu, YANG Sen. Experimental test and analysis of "soft-landing" control for drop-induced shock systems using magnetorheological energy absorber[J]. Journal of Mechanical Engineering, 2021, 57(1): 121-127.
[2] BISAGNI C. Crashworthiness of helicopter subfloor structures[J]. International Journal of Impact Engineering,2002, 27(10): 1067-1082.
[3] WITTE L, ROLL R, BIELE J, et al. Rosetta lander Philae–Landing performance and touchdown safety assessment[J]. Acta Astronautica, 2016, 125: 149-160.
[4] ??MARSHALL J T, RILEY M R. A comparison of the mechanical shock mitigation performance of a shock isolation seat subjected to laboratory drop tests and at-sea seakeeping trials[R]. NAVSEA Carderock Virginia Beach United States, 2020.
[5] 罗昌杰,周安亮,刘荣强,等. 金属蜂窝异面压缩下平均压缩应力的理论模型[J]. 机械工程学报, 2010, 46(18): 52-59.
LUO Changjie, ZHOU Anliang, LIU Rongqiang, et al. Average compressive stress constitutive equation of honeycomb metal under out-of-plane compression[J]. Journal of Mechanical Engineering,2010, 46(18): 52-59.
[6] DESJARDINS S P. The evolution of energy absorption systems for crashworthy helicopter seats[J]. Journal of the American Helicopter Society,2006, 51(2): 150-163.
[7] MIKUŁOWSKI G, JANKOWSKI Ł. Adaptive landing gear: optimum control strategy and potential for improvement[J]. Shock and Vibration, 2009, 16(2): 175-194.
[8] 郑佳佳,杨哲,黄林,等. 并联式磁流变阻尼器磁场分布分析[J]. 机床与液压,2014(5): 121-124.
ZHENG Jiajia, YANG Zhe, HUANG Lin, et al. A new type of MR damper magnetic circuit analysis[J]. Machine Tool & Hydraulics,2014(5): 121-124.
[9] JEON J, KOO S. Viscosity and dispersion state of magnetic suspensions[J]. Journal of Magnetism and Magnetic Materials,2012, 324(4): 424-429.
[10] WERELEY N M, CHOI Y, SINGH H J. Adaptive energy absorbers for drop-induced shock mitigation[J]. Journal of Intelligent Material Systems and Structures,2011, 22(6): 515-519.
[11] SALEH M, SEDAGHATI R, BHAT R. Dynamic analysis of an SDOF helicopter model featuring skid landing gear and an MR damper by considering the rotor lift factor and a Bingham number[J]. Smart Materials and Structures,2018, 27(6): 65013.
[12] CHOI Y T , WERELEY N M. Drop-induced shock mitigation using adaptive magnetorheological energy absorbers incorporating a time lag[J]. Journal of Vibration and Acoustics 2015, 137(1): 011010.
[13] WANG M K, CHEN Z B, WERELEY N M. Adaptive magnetorheological energy absorber control method for drop-induced shock mitigation[J]. Journal of Intelligent Material Systems and Structures,2021, 32(4): 449-461.
[14] 寿梦杰,廖昌荣,叶宇浩,等. 冲击载荷下磁流变缓冲器的动力学行为[J]. 机械工程学报, 2019, 551): 72-80.
SHOU Mengjie, LIAO Changrong, YE Yuhao, et al. Dynamic behavior of magnetorheological energy absorber under impact loading [J]. Journal of Mechanical Engineering, 2019, 55(1): 72-80.
[15] SALEH M, SEDAGHATI R, BHAT R. Design optimization of a bi-fold MR energy absorber subjected to impact loading for skid landing gear applications[J]. Smart Materials and Structures, 2019, 28(3): 35031.
[16] SINGH H J, HU W, WERELEY N M, et al. Experimental validation of a magnetorheological energy absorber design optimized for shock and impact loads[J]. Smart Materials & Structures,2014, 23(12): 125033.