DONG Yanchen, ZHANG Yewei, CHEN Liqun. Dynamic Analysis of the Nonlinear Vibration Absorber-Energy Harvester Integration Model With Inerters[J]. Applied Mathematics and Mechanics, 2019, 40(9): 968-979. doi: 10.21656/1000-0887.400049
 Citation: DONG Yanchen, ZHANG Yewei, CHEN Liqun. Dynamic Analysis of the Nonlinear Vibration Absorber-Energy Harvester Integration Model With Inerters[J]. Applied Mathematics and Mechanics, 2019, 40(9): 968-979.

# Dynamic Analysis of the Nonlinear Vibration Absorber-Energy Harvester Integration Model With Inerters

##### doi: 10.21656/1000-0887.400049
Funds:  The National Natural Science Foundation of China(11772205；11572182)
• Rev Recd Date: 2019-06-15
• Publish Date: 2019-09-01
• In order to solve the vibration and energy supply problems in aerospace engineering, an nonlinear vibration absorber integrated into an energy harvester with inerters was designed. The nonlinear vibration absorber was built based on the nonlinear energy sink (NES) in which the traditional inertial components were replaced with inerters, and the energy harvester based on the giant magnetostrictive material (GMM) was integrated into this device. This NES-I-GMM device achieves vibration absorption and energy collection simultaneously. Under the background of the whole satellite vibration reduction, the modeling, simulation and analysis were carried out, and the effects of vibration reduction and energy collection were investigated through numerical computation. The numerical results show that, the NES-I-GMM device works well in vibration reduction and vibration energy collection under reasonable parameters.
•  [1] GENDELMAN O, MANEVITCH L I, VAKAKIS A F, et al. Energy pumping in nonlinear mechanical oscillators, part Ⅰ: dynamics of the underlying Hamiltonian systems[J]. Journal of Applied Mechanics,2001,68: 34-41. [2] VAKAKIS A F, GENDELMAN O. Energy pumping in nonlinear mechanical oscillators, part Ⅱ: resonance capture[J].Journal of Applied Mechanics,2000,68: 42-48. [3] 熊怀, 孔宪仁, 刘源. 阻尼对耦合非线性能量阱系统影响研究[J]. 振动与冲击, 2015,34(11): 116-121.(XIONG Huai, KONG Xianren, LIU Yuan. Influence of structural damping on a system with nonlinear energy sinks[J]. Journal of Vibration and Shock,2015,34(11): 116-121.(in Chinese)) [4] 熊怀, 孔宪仁, 刘源. 一类立方非线性吸振器的能量传递和耗散研究及参数设计[J]. 振动工程学报, 2015,28(5): 785-792.(XIONG Huai, KONG Xianren, LIU Yuan. Energy transfer and dissipation of a class of nonlinear absorber and its parameter design[J]. Journal of Vibration Engineering,2015,28(5): 785-792.(in Chinese)) [5] 李继伟, 丁旺才, 李国芳. 多自由度非线性吸振器的连接方式及吸振效果[J]. 兰州交通大学学报, 2017,36(1): 96-101. (LI Jiwei, DING Wangcai, LI Guofang. Connection and performance of a vibration system with multi-degree of freedom nonlinear energy sink[J]. Journal of Lanzhou Jiaotong University,2017,36(1): 96-101. (in Chinese)) [6] 孙敏, 陈建恩, 陈焕林. 并联和串联非线性能量阱的吸振效能对比研究[J]. 哈尔滨工程大学学报, 2018,39(10): 1727-1732. (SUN Min, CHEN Jian’en, CHEN Huanlin. Comparison on vibration absorption efficiency of parallel and series nonlinear energy sinks[J]. Journal of Harbin Engineering University,2018,〖STHZ〗 39(10): 1727-1732.(in Chinese)) [7] 王菁菁, 浩文明, 吕西林. 轨道非线性能量阱阻尼对其减振性能的影响[J]. 振动与冲击, 2017,36(24): 30-34.(WANG Jingjing, HAO Wenming, L Xilin. Influence of track nonlinear energy sink damping on its vibration reduction performance[J]. Journal of Vibration and Shock,2017,36(24): 30-34.(in Chinese)) [8] 刘中坡, 吕西林, 王栋, 等. 非线性能量阱刚度优化计算与振动台试验[J]. 振动与冲击, 2017,36(7): 26-33.(LIU Zhongpo, L Xilin, WANG Dong, et al. Stiffness optimization and shaking table tests for nonlinear energy sink[J]. Journal of Vibration and Shock,2017,36(7): 26-33. (in Chinese)) [9] 孙斌, 吴志强. 基于非线性能量阱的双频激励非线性系统减振[J]. 应用数学和力学, 2017,38(11): 1240-1250.(SUN Bin, WU Zhiqiang. Vibration suppression of nonlinear systems under dual-frequency excitations with nonlinear energy sink[J]. Applied Mathematics and Mechanics,2017,38(11): 1240-1250.(in Chinese)) [10] YANG K, ZHANG Y W, DING H, et al. Nonlinear energy sink for whole-spacecraft vibration reduction[J]. Journal of Vibration and Acoustics, 2017,139(2): 021011. DOI: 10.1115/1.4035377. [11] SMITH M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control,2002,47(10): 1648-1662. [12] SALVI J, GIARALIS A. Concept study of a novel energy harvesting-enabled tuned mass-damper-inerter(EH-TMDI) device for vibration control of harmonically-excited structures[J]. Journal of Physics: Conference Series,2016,744(1): 012082. DOI： 10.1088/1742-6596/744/1/012082. [13] LUO Y F, SUN H X, WANG X Y, et al. Wind induced vibration control and energy harvesting of electromagnetic resonant shunt tuned mass-damper-inerter for building structures[J]. Shock and Vibration,2017: 4180134. DOI: 10.1155/2017/4180134. [14] 刘彦. 基于惯容器的机械振动被动控制系统传递特性分析[J]. 中国舰船研究, 2016,11(1): 108-113, 120.(LIU Yan. Analysis of the transmission characteristics of mechanical passive control systems with the inerter[J]. Chinese Journal of Ship Research,2016,11(1): 108-113, 120.(in Chinese)) [15] 毛明, 王乐, 陈轶杰, 等. 惯容器及惯容器-弹簧-阻尼器悬架研究进展[J]. 兵工学报, 2016,37(3): 525-534.(MAO Ming, WANG Le, CHEN Yijie, et al. Research progress in inerter and inerter-spring-damper suspension[J]. Acta Armamentarii,2016,37(3): 525-534.(in Chinese)) [16] 杨晓峰, 杜毅, 刘雁玲, 等. 惯质系数对车辆ISD悬架系统频率特性的影响研究[J]. 振动与冲击, 2018,37(7): 240-246.(YANG Xiaofeng, DU Yi, LIU Yanling, et al. Influences of inertial mass coefficient on frequency characteristics of ISD suspension systems[J]. Journal of Vibration and Shock,2018,37(7): 240-246.(in Chinese)) [17] ZHANG Y W, LU Y N, ZHANG W, et al. Nonlinear energy sink with inerter[J]. Mechanical Systems and Signal Processing,2018,125: 52-64. [18] 刘蕊, 吴子英, 叶文腾. 附加非线性振子的双稳态电磁式振动能量捕获器动力学特性研究[J]. 应用数学和力学, 2017,38(4): 432-446.(LIU Rui, WU Ziying, YE Wenteng. Dynamics research of bistable electromagnetic energy harvesters with auxiliary nonlinear oscillators[J]. Applied Mathematics and Mechanics,2017,38(4): 432-446.(in Chinese)) [19] FANG Z W, ZHANG Y W, LI X, et al. Integration of a nonlinear energy sink and a giant magnetostrictive energy harvester[J]. Journal of Sound and Vibration,2017,391: 35-49. [20] LI X, ZHANG Y W, DING H, et al. Integration of a nonlinear energy sink and a piezoelectric energy harvester[J]. Applied Mathematics and Mechanics(English Edition),2017,38(7): 1019-1030. [21] 昝浩, 温华兵, 范紫岩. 含惯容器的多层隔振系统动态性能研究[J]. 江苏科技大学学报（自然科学版）, 2015,29(2): 131-137.(ZAN Hao, WEN Huabing, FAN Ziyan. Study of dynamic property of multi stage vibration isolation system with inerter[J]. Journal of Jiangsu University of Science and Technology(Natural Science Edition),2015,29(2): 131-137.(in Chinese)) [22] 陈龙, 杨晓峰, 汪若尘, 等. 改进的ISD三元件车辆被动悬架性能的研究[J]. 汽车工程, 2014,36(3): 340-345.(CHEN Long, YANG Xiaofeng, WANG Ruochen, et al. A study on the performances of vehicle passive suspension with modified inerter-spring-damper three-element structure[J]. Automotive Engineering,2014,36(3): 340-345.(in Chinese)) [23] ZANG J, ZHANG Y W, DING H, et al. The evaluation of a nonlinear energy sink absorber based on the transmissibility[J]. Mechanical Systems and Signal Processing,2018,125: 99-122.

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沈阳化工大学材料科学与工程学院 沈阳 110142