一种含负刚度元件的新型动力吸振器的参数优化

彭海波; 申永军; 杨绍普

doi:10.6052/0459-1879-14-275

一种含负刚度元件的新型动力吸振器的参数优化

doi: 10.6052/0459-1879-14-275

1.
石家庄铁道大学工程力学系, 石家庄050043
2. 石家庄铁道大学机械工程学院, 石家庄050043

基金项目: 国家自然科学基金(11372198)、教育部新世纪优秀人才支持计划(NCET-11-0936)、河北省高等学校创新团队领军人才计划(LJRC018)、河北省高等学校高层次人才科学研究项目(GCC2014053) 和河北省高层次人才资助项目(A201401001) 资助项目.

详细信息

通讯作者:
申永军,教授,主要研究方向:机械系统的动力学与振动控制.E-mail:shenyongjun@126.com

中图分类号: O328;TH113
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出版历程
- 收稿日期: 2014-09-11
- 修回日期: 2014-11-13
- 刊出日期: 2015-03-18

PARAMETERS OPTIMIZATION OF A NEW TYPE OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS

1.
Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
2. Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China

Funds: The project was supported by the National Natural Science Foundation of China (11372198), the Program for New Century Excellent Talents in University of Ministry of Education of China (NCET-11-0936), the Cultivation Plan for Innovation Team and Leading Talent in Colleges and Universities of Hebei Province (LJRC018), the Program for Advanced Talent in the Universities of Hebei Province (GCC2014053), and the Program for Advanced Talent in Hebei (A201401001)

摘要

摘要: 提出了一种含有负刚度弹簧元件的新型动力吸振器模型,对该模型的最优参数进行了详细研究. 通过拉氏变换得到了系统的解析解,发现该系统存在着两个固定点,利用固定点理论得到了动力吸振器的最优阻尼比和最优频率比. 进一步研究发现接地刚度取负值时能够得到更好的减振效果,根据负刚度的特性得到了在保证系统稳定情况下的最优负刚度比. 通过数值解与解析解的对比证明了解析解的正确性. 通过与两种已有的典型动力吸振器模型在简谐激励和随机激励情况下的对比,说明了负刚度模型在主系统减振方面具有很大的优势,减振效果远优于两种已有动力吸振器模型,从而为设计新型动力吸振器模型提出了理论上的依据.
- 动力吸振器 /
- 负刚度 /
- 振动控制 /
- 固定点理论 /
- 参数优化
Abstract: A new type of dynamic vibration absorber with negative stiffness spring is presented and studied analytically in detail. At first the analytical solution is obtained based on the Laplace transform method, and it could be found that there exist two fixed points independent of the damping ratio in the normalized amplitude-frequency curves. The optimum tuning ratio and damping ratio are obtained based on the fixed-point theory. According to the characteristics of the negative stiffness element, the optimal negative stiffness ratio is obtained and it could keep the system stable. The comparison of the analytical solution with the numerical one verifies the correctness and satisfactory precision of the analytical solution. The comparison with other two traditional dynamic vibration absorbers under the harmonic and random excitation show that the presented dynamic vibration absorber performs better in vibration absorption. The result could provide theoretical basis for the optimal design of similar dynamic vibration absorber.
- dynamic vibration absorber /
- negative stiffness /
- vibration control /
- fixed-point theory /
- parameter optimization

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参考文献(25)

Frahm H. Device for damping vibrations of bodies. U.S. Patent 989, 958. 1911

Ormondroyd J, Den Hartog JP. The theory of the dynamic vibration absorber. Journal of Applied Mechanics, 1928, 50: 9-22

Hahnkamm E. The damping of the foundation vibrations at varying excitation frequency. Master of Architecture, 1932, 4: 192-201

Brock JE. A note on the damped vibration absorber. Journal of Applied Mechanics, 1946, 13(4): A-284

Den Hartog JP. Mechanical vibrations. New York: McGraw-Hall Book Company 1947

倪振华. 振动力学. 西安:西安交通大学出版社,1989 (Ni Zhenhua. Vibration Mechanics. Xi'an: Xi'an Jiaotong University Press, 1989 (in Chinese))

Nishihara O, Asami T. Close-form solutions to the exact optimizations of dynamic vibration absorber (minimizations of the maximum amplitude magnification factors). Journal of Vibration and Acoustics, 2002, 124: 576-582

Asami T, Nishihara O, Baz AM. Analytical solutions to H_∞ and H₂ optimization of dynamic vibration absorbers attached to damped linear systems. Journal of Vibration and Acoustics, 2002, 124(2): 284-295

Ren MZ. A variant design of the dynamic vibration absorber. Journal of Sound and Vibration, 2001, 245(4): 762-770

Liu KF, Liu J. The damped dynamic vibration absorbers: revisited and new result. Journal of Sound and Vibration, 2005, 284(3): 1181-1189

赵艳影, 李昌爱. 时滞反馈控制扭转振动系统的振动. 物理学报,2011, 60(10): 114305 (Zhao Yanying, Li Chang'ai. The delayed feedback control to suppress the vibration in a torsional vibrating system. Acta Physica Sinica, 2011, 60(10): 114305 (in Chinese))

Zhao YY, Xu J. Effects of delayed feedback control on nonlinear vibration absorber system. Journal of Sound and Vibration, 2007, 308: 212-230

Shen YJ, Wang L, Yang SP, et al. Nonlinear dynamical analysis and parameters optimization of four semi-active on-off dynamic vibration absorbers. Journal of Vibration and Control, 2013, 19(1): 143-160

Shen YJ, Ahmadian M. Nonlinear dynamical analysis on four semi-active dynamic vibration absorbers with time delay. Shock and Vibration, 2013, 20(4): 649-663

Platus DL. Negative-stiffness-mechanism vibration isolation systems. International Society for Optics and Photonics, 1992: 44-54

彭献, 陈树年, 宋福磐. 负刚度的工作原理及应用初探. 湖南大学学报, 1992, 19(4): 89-94 (Peng Xian, Chen Shunian, Song Fupan. Research on theory of negative stiffness and its application. Journal of Hunan University , 1992, 19(4): 89-94 (in Chinese))

彭解华, 陈树年. 正负刚度并联结构的稳定性及应用研究. 振动、测试与诊断. 1995, 15(2): 14-18 (Peng Jiehua, Chen Shunian. The stability and application of a structure with positive stiffness element and negative stiffness element. Journal of Vibration, Measurement & Diagnosis, 1995, 15(2): 14-18 (in Chinese))

Mizuno T. Proposal of a vibration isolation system using zero-power magnetic suspension. In: Proceedings of the Asia-Pacific Vibration Conference, Hangzhou, China, 2001, 2: 423-427

Mizuno T. Vibration isolation system using zero-power magnetic suspension. In: Proc. of the 15th Triennial World Congress, Barcelona, Spain, 2002: 955-960

Mizuno T, Takemori Y. A transfer-function approach to the analysis and design of zero-power controllers for magnetic suspension systems. Electrical Engineering in Japan, 2002, 141(2): 67-75

Mizuno T, Takasaki M, Kishita D, et al. Vibration isolation system combining zero-power magnetic suspension with springs. Control Engineering Practice, 2007, 15(2): 187-196

Mizuno T, Toumiya T, Takasaki M. Vibration isolation system using negative stiffness. JSME International Journal Series C, 2003, 46(3): 807-812

Park ST, Luu TT. Techniques for optimizing parameters of negative stiffness. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2007, 221(5): 505-510

纪晗, 熊世树, 袁涌. 基于负刚度原理的结构隔振效果分析. 华中科技大学学报(自然科学版), 2010, 38(2): 76-79 (Ji Han, Xiong Shishu, Yuan Yong. Analyzing vibration isolation effect of structures using negative stiffness principle. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2010, 38(2): 76-79 (in Chinese))

Acar MA, Yilmaz C. Design of an adaptive-passive dynamic vibration absorber composed of a string-mass system equipped with negative stiffness tension adjusting mechanism. Journal of Sound and Vibration, 2013, 332(2): 231-245

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