[1]任志英,邱 涛,刘扭扭,等.推进轴系纵向高承载准零刚度隔振器的研究[J].郑州大学学报(工学版),2023,44(01):52-57.[doi:10.13705/j.issn.1671-6833.2022.04.019]
　REN Zhiying,QIU Tao,LIU Niuniu,et al.Research on Longitudinal High Load-bearing Quasi-zero Stiffness Isolator for Propulsion Shafting[J].Journal of Zhengzhou University (Engineering Science),2023,44(01):52-57.[doi:10.13705/j.issn.1671-6833.2022.04.019]
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推进轴系纵向高承载准零刚度隔振器的研究()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
44
期数:
2023年01期
页码:
52-57
栏目:
出版日期:
2022-12-06

文章信息/Info

Title:
Research on Longitudinal High Load-bearing Quasi-zero Stiffness Isolator for Propulsion Shafting
作者:
任志英1; 2;  邱 涛1; 2;  刘扭扭1; 2;  白鸿柏1; 2;  尧杰程1; 2;  梁 翼1; 2
1.福州大学金属橡胶与振动噪声研究所,福建福州 350116, 2.福州大学机械工程及自动化学院,福州 350116

Author(s):
REN Zhiying1; 2;  QIU Tao1; 2;  LIU Niuniu1; 2;  BAI Hongbai1; 2;  YAO Jiecheng1; 2;  LIANG Yi1; 2
1.School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China; 2.Institute of Metal Rubber, Vibration and Noise, Fuzhou University, Fuzhou 350116, China
关键词:
Keywords:
propulsion shafting;  low frequency vibration isolation;  disc spring;  quasi-zero stiffness;  stability
分类号:
TH113. 1
DOI:
10.13705/j.issn.1671-6833.2022.04.019
文献标志码:
A
摘要:
针对船舶推进轴系纵向低频隔振难的问题，本论文将碟簧与螺旋弹簧并联设计了一种准零刚度隔振器。通过谐波平衡法，求解了轴系-准零刚度隔振器的动力学方程，采用数值计算验证了求解的有效性；综合分析系统响应的稳定性、轴系纵向静变形与并联机构零刚度区间范围，确定了隔振器的非线性刚度与阻尼比；最后通过碟簧静力学和准零刚度隔振器的静力学获得了碟簧与螺旋弹簧相应的结构与力学参数。结果表明，当隔振器非线性刚度取1×1012N/mm3、阻尼比取0.05时，系统稳态响应的解在200Hz内都是稳定的；并且在承受10 000 N载荷时，可以有效隔离10Hz~200Hz范围内的振动。
Abstract:
Aiming at the problem of longitudinal low-frequency vibration isolation of ship propulsion shafting, a high-load quasi-zero stiffness isolator was designed based on disc spring with negative stiffness characteristics and positive-stiffness coil spring in parallel. The dynamic equation of the shafting-quasi-zero stiffness vibration isolation system was established. Through the harmonic balance method, the steady-state response of the system was solved, and the validity of the solution was verified by numerical calculation. For the problem of system response stability, firstly, the influence of nonlinear stiffness of quasi-zero stiffness isolator and external excitation force amplitude on response stability were studied，and combined with the longitudinal static deformation of the shafting, the nonlinear stiffness was determined. Then the specific structural and mechanical parameters of the disc spring and the coil spring were obtained through static analysis. Finally, the influence of damping ratio of quasi-zero stiffness isolator and external excitation force amplitude on the response stability of the system were analyzed, the damping ratio was determined. The results showed that when the nonlinear stiffness and damping ratio were taken as 1×1012 N/m3 and 0.05, respectively, the main resonance of the system no longer jumps, and the solution of the steady-state response of the system was stable within 200 Hz. In the meantime, even with a load of 10 000 N, the quasi-zero stiffness isolator could still effectively isolate the vibration in the range of 10 Hz to 200 Hz.

参考文献/References:

[1] 赵耀, 张赣波, 李良伟. 船舶推进轴系纵向振动及其 控制技 术 研 究 进 展 [ J] . 中 国 造 船, 2011, 52 ( 4) : 259-269. 

ZHAO Y, ZHANG G B, LI L W. Review of advances on longitudinal vibration of ship propulsion shafting and its control technology[ J] . Shipbuilding of China, 2011, 52 (4) : 259-269.
[2] GOODWIN A J H. The design of a resonance changer to overcome excessive axial vibration of propeller shafting [ J] . Transactions of the institute of marine engineers, 1960, 72: 37-63. 
[3] DYLEJKO P G, KESSISSOGLOU N J, TSO Y, et al. Optimisation of a resonance changer to minimise the vibration transmission in marine vessels [ J ] . Journal of sound and vibration, 2007, 300(1 / 2) : 101-116. 
[4] MERZ S, KINNS R, KESSISSOGLOU N. Structural and acoustic responses of a submarine hull due to propeller forces[ J ] . Journal of sound and vibration, 2009, 325 (1 / 2) : 266-286. 
[5] 储炜, 赵耀, 张赣波, 等. 共振转换器的动力反共振 隔振理论与应用[ J] . 船舶力学, 2016, 20( 增刊 1) : 222-230. 
CHU W, ZHAO Y, ZHANG G B, et al. Dynamic antiresonance vibration isolation theory of resonance changer and application[ J] . Journal of ship mechanics, 2016, 20 ( S1) : 222-230. 
[6] 胡泽超, 何琳, 徐伟, 等. 船舶推进轴系纵向振动共 振转换器的优化设计[ J] . 中国舰船研究, 2019, 14 (1) : 107-113. 
HU Z C, HE L, XU W, et al. Optimzation design of resonance changer for marine propulsion shafting in longitudinal vibration [ J ] . Chinese journal of ship research, 2019, 14(1) : 107-113. 
[7] 刘扭扭. 基于动力反共振的推进轴系纵向振动控制方 法研究[D] . 上海: 上海交通大学, 2019. 
LIU N N. Investigation on longitudinal vibration control method of the shafting system based on dynamic antiresonance vibration isolator [ D ] . Shanghai: Shanghai Jiao Tong University, 2019.
[8] 吴明亮, 赵晨名, 张来喜. 准零刚度振动控制系统的研 究进展[J]. 南京理工大学学报, 2021, 45(1): 18-26. 
WU M L, ZHAO C M, ZHANG L X. Research progress of quasi-zero stiffness vibration control system[ J] . Journal of Nanjing university of science and technology, 2021, 45(1) : 18-26.
[9] CARRELLA A, BRENNAN M J, KOVACIC I, et al. On the force transmissibility of a vibration isolator with quasizero-stiffness[ J] . Journal of sound and vibration, 2009, 322(4 / 5) : 707-717. 
[10] LE T D, AHN K K. A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat[ J] . Journal of sound and vibration, 2011, 330(26) : 6311-6335. 
[11] HUANG X C, LIU X T, HUA H X. Effects of stiffness and load imperfection on the isolation performance of a high-static-low-dynamic-stiffness non-linear isolator under base displacement excitation [ J]. International journal of non-linear mechanics, 2014, 65: 32-43.
[12] SUN X T, JING X J. Analysis and design of a nonlinear stiffness and damping system with a scissor-like structure [ J ] . Mechanical systems and signal processing, 2016 (66 / 67) : 723-742. 
[13] WANG X L, ZHOU J X, XU D L, et al. Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness[ J] . Nonlinear dynamics, 2017, 87(1) : 633-646.
[14] 白晓辉, 白鸿柏, 郝慧荣. 碟形弹簧负刚度在低频精 密隔振中的应用研究[ J] . 新技术新工艺, 2009( 10) : 24-27. 
BAI X H, BAI H B, HAO H R. Application research on the negative stiffness of disk spring used in low frequency precision vibration isolation [ J] . New technology & new process, 2009(10) : 24-27. 
[15] MENG L S, SUN J G, WU W J. Theoretical design and characteristics analysis of a quasi-zero stiffness isolator using a disk spring as negative stiffness element[ J] . Shock and vibration, 2015, 2015: 813763. 
[16] 孟令帅, 孙景工, 牛福, 等. 新型准零刚度隔振系统 的设计与研究[ J] . 振动与冲击, 2014, 33(11) : 195- 199. 
MENG L S, SUN J G, NIU F, et al. Design and analysis of a novel quasi-zero stiffness vibration isolation system [ J] . Journal of vibration and shock, 2014, 33 ( 11 ) : 195-199. 
[17] 张阳阳, 所俊. 推力轴承隔振对潜艇声振特性影响研 究[J]. 噪声与振动控制, 2020, 40(3): 240-245. 
ZHANG Y Y, SUO J. Study on the influence of thrust bearing isolation on the acoustic and vibration characteristics of submarines [ J ] . Noise and vibration control, 2020, 40(3) : 240-245. 
[18] ALMEN J O. The uniform-section disk spring[ J] . Transactions of the American society of mechanical engineers, 1936,58:305-314.

更新日期/Last Update: 2022-12-07