HUANG Wei, XU Jian, ZHU Da-yong, HU Ming-yi, LU Jian-wei, LU Kun-lin. Multi-Objective Optimization of Composite Vibration Isolation Systems[J]. Applied Mathematics and Mechanics, 2016, 37(9): 924-935. doi: 10.21656/1000-0887.360238
Citation: HUANG Wei, XU Jian, ZHU Da-yong, HU Ming-yi, LU Jian-wei, LU Kun-lin. Multi-Objective Optimization of Composite Vibration Isolation Systems[J]. Applied Mathematics and Mechanics, 2016, 37(9): 924-935. doi: 10.21656/1000-0887.360238

Multi-Objective Optimization of Composite Vibration Isolation Systems

doi: 10.21656/1000-0887.360238
Funds:  The National Natural Science Foundation of China(51078123; 51179043)
  • Received Date: 2015-08-26
  • Rev Recd Date: 2016-05-13
  • Publish Date: 2016-09-15
  • The traditional vibration isolation methods were often aimed at the suppression of the power equipment vibration only, but the vibration participation of the simplified rigid foundation was usually ignored in practice. The ‘power equipment-isolator-thin plate’ combination was considered as a composite vibration isolation system where the equipment was 4-point installed, and the transmitted forces from the equipment to the plate foundation were derived according to the mechanical 4-pole connection properties. In turn, the multi-objective optimization was performed in which the minimum power flow transmitted to the plate and the uniform vibration of the power equipment were defined as the fitness functions, and the purpose of the latter one was to sustain normal work and service life of the equipment. The multi-objective particle swarm optimization (MOPSO) algorithm was selected as the optimization tool in view of the advantages of less parameter settings, fast convergence, strong optimization capability and unique global optimal solution based on the Pareto dominance. This study combined together the power equipment vibration isolation, the thin plate vibration, the power flow transmission and the intelligent multi-objective optimization; in addition, a latest vibration theory for clamped plates aptly supported this strategy. The application of the MOPSO promotes the traditional view of vibration isolation and control.
  • loading
  • [1]
    中华人民共和国住房和城乡建设部, 中华人民共和国国家质量监督检验检疫总局. GB 50463—2008: 隔振设计规范[S]. 北京: 中国计划出版社, 2009.(Ministry of Housing and Urban-Rural Development of People’s Republic of China, General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China. GB 50463—2008: Code for design of vibration isolation[S]. Beijing: China Planning Press, 2009.(in Chinese))
    [2]
    魏燕定, 赖小波, 陈定中, 沈国强. 两级振动隔振系统参数优化设计[J]. 浙江大学学报(工学版), 2006,40(5): 893-896.(WEI Yan-ding, LAI Xiao-bo, CHEN Ding-zhong, SHEN Guo-qiang. Optimal parameters design of two-stage vibration isolation system[J]. Journal of Zhejiang University(Engineering Science),2006,40(5): 893-896.(in Chinese))
    [3]
    李志强, 陈树勋, 韦齐峰. 汽车动力总成悬置系统振动解耦计算方法研究[J]. 计算力学学报, 2014,31(2): 187-191.(LI Zhi-qiang, CHEN Shu-xun, WEI Qi-feng. Study on calculating method of vibration decoupling for automotive powertrain mounting system[J]. Chinese Journal of Computational Mechanics,2014,31(2): 187-191.(in Chinese))
    [4]
    Amabili M, Carra S. Experiments and simulations for large amplitude vibrations of rectangular plates carrying concentrated masses[J]. Journal of Sound and Vibration,2012,331(1): 155-166.
    [5]
    Li S, Yuan H. Green quasifunction method for free vibration of clamped thin plates[J]. Acta Mechanica Solida Sinica,2012,25(1): 37-45.
    [6]
    Arenas J P. On the vibration analysis of rectangular clamped plates using the virtual work principle[J]. Journal of Sound and Vibration,2003,266(4): 912-918.
    [7]
    马永彬, 张亚辉, 曾耀祥. 板列弯曲振动及功率流分析的辛空间波传播方法[J]. 应用数学和力学, 2014,35(8): 838-849.(MA Yong-bin, ZHANG Ya-hui, ZENG Yao-xiang. Bending vibration and power flow analysis of plate assemblies in the symplectic space[J]. Applied Mathematics and Mechanics,2014,35(8): 838-849.(in Chinese))
    [8]
    Goyder H G D, White R G. Vibrational power flow from machines into built-up structures—part I: introduction and approximate analyses of beam and plate-like foundations[J]. Journal of Sound and Vibration,1980,68(1): 59-75.
    [9]
    Goyder H G D, White R G. Vibrational power flow from machines into built-up structures—part II: wave propagation and power flow in beam-stiffened plates[J]. Journal of Sound and Vibration,1980,68(1): 77-96.
    [10]
    Goyder H G D, White R G. Vibrational power flow from machines into built-up structures—part III: power flow through isolation systems[J]. Journal of Sound and Vibration,1980,68(1): 97-117.
    [11]
    Pinnington R J. Vibrational power transmission to a seating of a vibration isolated motor[J]. Journal of Sound and Vibration,1987,118(3): 515-530.
    [12]
    Abido M A, Al-Ali N A. Multi-objective optimal power flow using differential evolution[J]. Arabian Journal for Science and Engineering,2012,37(4): 991-1005.
    [13]
    Eberhart R C, Kennedy J. A new optimizer using particle swarm theory[C]// Micro Machine and Human Science, Proceedings of the Sixth International Symposium on IEEE,1995: 39-43.
    [14]
    Shi Y, Eberhart R. A modified particle swarm optimizer[C]//IEEE World Congress on Computational Intelligence,1998: 69-73.
    [15]
    Coello C C A, Lechuga M S. MOPSO: a proposal for multiple objective particle swarm optimization[C]// Proceedings of the 〖STBX〗2002 Congress on IEEE,2002,2: 1051-1056.
    [16]
    Deb K, Pratap A, Agarwal S, Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II[J]. IEEE Transactions on Evolutionary Computation,2002,6(2): 182-197.
    [17]
    Goldberg D E, Richardson J. Genetic algorithms with sharing for multimodal function optimization[C]//Genetic Algorithms and Their Applications: Proceedings of the Second International Conference on Genetic Algorithms,1987: 41-49.
    [18]
    王全娟, 陈家义, 许华. 基于功率流方法的复杂柔性耦合系统被动综合最优控制[J]. 机械工程学报, 2001,37(8): 32-36.(WANG Quan-juan, CHEN Jia-yi, XU Hua. Optimum control of complex flexible coupling system based on power flow[J].Chinese Journal of Mechanical Engineering,2001,37(8): 32-36.(in Chinese))
    [19]
    严济宽. 机械振动隔离技术[M]. 上海: 上海科学技术文献出版社, 1985.(YAN Ji-kuan. Mechanical Vibration Isolation Technology [M]. Shanghai: Shanghai Scientific and Technological Literature Press, 1985.(in Chinese))
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1115) PDF downloads(1104) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return