为解决船舶隔振领域低频隔振难题,在现有基于磁齿结构的电磁负刚度机构基础上,针对其电磁力解析表达式中忽略了铁芯磁阻和未考虑磁路饱和的问题,对其进行修正,得出考虑铁芯磁阻及磁路饱和的电磁力解析表达式。以负刚度机构电磁力最大和功耗最小为目标,对负刚度机构结构参数进行了多目标优化,将优化后的电磁负刚度机构与具有正刚度特性的金属弹簧并连,设计形成基于磁齿结构的电磁准零刚度隔振器。在此基础上,完成隔振器样件的加工制作及静力学特性试验,进一步验证了基于磁齿结构电磁负刚度机构理论及电磁力解析表达式修正结果的正确性。
In order to solve the problem of low-frequency vibration isolation in the field of ship vibration isolation, this paper based on the existing magnetic tooth structure electromagnetic negative stiffness mechanism, aiming at the problems of ignoring the core reluctance and not considering the magnetic circuit saturation of its electromagnetic force analytical expression, this paper modified the electromagnetic force analytical expression, and deduced the electromagnetic force analytical expression of the negative stiffness mechanism considering the core reluctance and magnetic circuit saturation. Aiming at the maximum electromagnetic force and minimum power consumption of the negative stiffness mechanism, the structural parameters of the negative stiffness mechanism were optimized. The optimized electromagnetic negative stiffness mechanism was connected with the metal spring with positive stiffness characteristics, and the electromagnetic quasi-zero-stiffness vibration isolator based on the magnetic tooth structure was designed. On this basis, the machining and static characteristic test of the vibration isolator were completed, The correctness of the theory of electromagnetic negative stiffness mechanism and the correction results of the analytical expression of electromagnetic force were further verified.
2025,47(2): 6-11 收稿日期:2023-12-24
DOI:10.3404/j.issn.1672-7649.2025.02.002
分类号:O328
作者简介:李欣(1980 – ),女,博士,高级工程师,研究方向为振动控制技术
参考文献:
[1] 王心龙. CRSM准零刚度隔振器的非线性隔振特性及实验研究[D]. 长沙: 湖南大学, 2015.
[2] 刘琪, 李占龙, 王建梅, 等. 准零刚度低频隔振技术的研究进展[J]. 机械强度. 2021, 43(1): 17–26.
LIU Q, LI Z L, WANG J M, et al. Research progress on Quasi-zero Stiffnes low-frequency vibration isolation technology[J]. Journal of Mechanical Strength, 2021, 43(1): 17–26.
[3] 陈春, 高雪, 滕汉东. 气动准零非线性隔振器的刚度特性与参数调控[J]. 振动、测试与诊断, 2020, 40(3): 513-518.
CHEN C, GAO X, TENG H D. Stiffness properties and tuning analysis for the smooth type pneumatic Quasi-zero vibration isolator[J]. Journal of Vibration, Measurement & Diagnosis, 2020, 40(3): 513-518.
[4] KAMARUZAMAN N A, ROBERTSON W S P, GHAYESH M H, et al. Six degree of freedom quasi-zero stiffness magnetic spring with active control: Theoretical analysis of passive versus active stability for vibration isolation[J]. Journal of Sound and Vibration, 2021, (502): 1-20.
[5] 韩超. 负刚度可调式电磁隔振器动力学特性分析及试验研究[D]. 哈尔滨: 哈尔滨工程大学, 2018.
[6] 王骞, 邹继斌, 付兴贺, 等. 永磁体磁共能的计算方法[J]. 电工技术学报, 2010, 25(5): 25-30.
WANG Q, ZOU J B, FU X H, et al. An algorithm for analysis of magnetic co-energy stored in permanent magnets[J]. Transactions of China Electrotechnical Society, 2010, 25(5): 25-30.
[7] 宁一高, 石勇, 李文听, 等. 一种新型比例电磁铁设计及吸力特性分析[J]. 机械设计与研究, 2017, 33(2): 49-51.
NING Y G, SHI Y, LI W T, et al. Design and attraction characteristic analysis of a novel proportional electromagnet[J]. Machine Design & Research, 2017, 33(2): 49-51.
[8] 李耀东, 张敏, 苗圃, 等. 基于多目标遗传算法NSGA-Ⅱ的串联齿轮机构变位系数优化[J]. 机械传动, 2016, 40(6): 123-125.
LI Y D, ZHANG M, MIAO P, et al. Modification coefficient optimization of Series gear mechanism based on multi-objective genetic algorithm NSGA-Ⅱ[J]. Journal of Mechanical Transmission, 2016, 40(6): 123-125.
[9] 白博, 周军, 王圣允. 立方星带芯磁力矩器多目标优化设计与实现[J]. 宇航学报. 2017, 38(7): 766-771.
BAI B, ZHOU J, WANG S Y. Multi-objective optimization design and implementation of a magnetorquer with magnetic core for cubesat[J]. Journal of Astronautics, 2017, 38(7): 766-771.