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基于改进蚁群算法梯式轨道及橡胶混凝土隔振基础优化研究
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摘要
近几年,随着我国地铁建设的快速发展,地铁振动产生的问题也日益严重。地铁列车引起的振动不仅影响线路两侧精密仪器的正常使用,更导致沿线居民的正常生活受到影响。梯式轨道作为一种新型轨道减振措施,在一定程度上解决了上述问题。但是,如何更好地发挥梯式轨道的减振性能以及协调减振效果和列车运行安全性两者之间的平衡关系,成为亟待研究的问题。
     针对以上问题,结合国内外研究现况,对梯式轨道枕下减振垫铺设型式、单块梯式轨道长度、扣件竖向刚度和枕下减振垫竖向等效刚度进行了优化分析。其中,重点研究了梯式轨道在环境振动要求的减振量和行车安全要求的动态钢轨位移量之间的平衡关系。另外,本文还探索研究了适用于梯式轨道的橡胶混凝土隔振基础,扩大了梯式轨道在城市轨道交通减振降噪的能力。
     论文主要研究内容及结论如下:
     (1)通过研究不同类型蚁群优化算法,提出了单目标“觅食-返巢”机制连续域蚁群算法(SO-FHACO)。并通过函数测试,认为SO-FHACO在全局搜索、早熟收敛和收敛过慢等方面都很优秀。在SO-FHACO基础上,推导了基于Pareto原理的多目标“觅食-返巢”机制连续域蚁群算法(MO-FHACO)。
     (2)对单块梯式轨道进行了实验室测试,研究了枕下减振垫不同铺设形式对梯式轨道动力特性的影响。认为在现有梯式轨道枕下减振垫铺设型式基础上,再增设梯梁端部减振垫,可提高梯式轨道减振效果。
     (3)对3.65/6.15/8.65m长梯式轨道进行了数值模态分析,得到了不同长度梯式轨道的各阶振型和对应的自振频率。在此基础上,通过时程分析、频谱分析、传递率分析以及传递损失分析,认为现行6.15m长梯式轨道单元相比另两种长度梯式轨道具有更好的减振性能。
     (4)将“觅食-返巢”机制连续域蚁群算法(FHACO)嫁接到Ls-Dyna动力有限元软件,利用Matlab实现了自编程序FHACO和商业软件Ls-Dyna之间的数据传递。由此,开发出了具有物理参数优化功能的FHACO&Ls-Dyna软件。利用该软件,针对减振性能和列车运行安全性的平衡关系,对梯式轨枕道扣件竖向刚度和枕下减振垫等效竖向刚度进行了优化分析。进一步,优化分析了能为梯式轨道提供最优减振效果的橡胶混凝土隔振基础参数。
In recent years, subway vibration problem has become increasingly severe as China's rapid development of subway construction. Vibration induced by the subway train will affect not only the normal use of precision instruments, but also the normal life of residents along the subway lines. Ladder track, as a new vibration-reduced track, has solved some above problems, but there are still many issues to be analyzed.
     In view of this, laying type of sleeper-pads, length of ladder track, vertical stiffness of fasteners and equivalent vertical stiffness of sleeper-pads were analyzed. We mainly focused on the relationship between the vibration-reduced effect and the displacement of rail. In addition, we developed the CRC foundation which expands the damping capabilities of ladder track used in urban subway.
     The main contents are as follows:
     (1) By studying different ant colony optimization algorithms, a single-objective "foraging-homing" mechanism continuous domain colony algorithm (SO-FHACO) was proposed. And through the functional tests, SO-FHACO shows great abilities in global search, premature convergence and slow convergence. Then, multi-objective "foraging-homing" mechanism continuous domain colony algorithm (MO-FHACO) was obtained based on the Pareto principle by SO-FHACO.
     (2) The laboratory test of ladder track was carried out to study the dynamical characteristics of ladder track by different laying types of sleeper-pads. The results show that, additional sleeper-pads should be set at the end of ladder track for better ability of controlling vibration.
     (3) Vibration modes and corresponding natural frequencies of3.65/6.15/8.65m ladder track were obtained by the numerical modal analysis. Through time history analysis, spectrum analysis, transfer rate analysis and transmission loss analysis, we think6.15m ladder track has better damping properties.
     (4) FHACO was grafted onto Ls-Dyna dynamic finite element software. Matlab was employed to exchange the data between FHACO and commercial software Ls-Dyna. Thus, software FHACO&Ls-Dyna was developed. Using FHACO&Ls-Dyna, vertical stiffness of fasteners and equivalent vertical stiffness of sleeper-pads were optimized considering the balance of damping effect and train operation safety. Then, the parameters of CRC foundation for improving damping abilities of ladder track were optimized.
引文
[1]王伯铭编著.城市轨道交通车辆工程[M].成都:西南交通大学出版社,2007:272.
    [2]崔高航,陶夏新,陈宪麦.城轨交通引起的环境振动问题综述研究[J].地震工程与工程振动.2008(01).
    [3]申跃奎.地铁激励下振动的传播规律及建筑物隔振减振研究[D].同济大学,2007.
    [4]王梦恕.我国城市交通的发展方向[J].铁道工程学报.2003(01).
    [5]Asanuma K, Sogabe M, Watanabe T, et al. Development of Ballasted Ladder Track Equipped with a Vehicle Guide Device[J]. Quarterly Report of RTRI.2009,50(4):233-240.
    [6]任静,王进,曾向荣.北京地铁5号线正线轨道设计综述[J].铁道标准设计.2007(10).
    [7]黄德君,王新年,虞雍.北京市轨道交通昌平线高架线梯形轨枕机铺法施工技术[J].铁道标准设计.2011(1):76-77,87.
    [8]孙大新,高晓新.北京市轨道交通昌平线一期轨道结构设计综述[J].铁道标准设计.2011(01).
    [9]程宝青,杨宝峰,于春华.北京市轨道交通大兴线轨道设计综述[J].铁道标准设计.2011(01).
    [10]杨其振,程保青,刘道通.北京市轨道交通大兴线减振轨道结构的选型设计[J].铁道标准设计.2011(1):58-60.
    [11]丁静波,王青,任树文.北京市轨道交通房山线轨道结构设计研究[J].铁道标准设计.2011(01).
    [12]张艳军,戴春阳,雷黔湘.北京市轨道交通亦庄线正线轨道设计综述[J].铁道标准设计.2011(01).
    [13]马蒙.基于敏感度的地铁列车振动环境影响预测及动态评价体系研究[D].北京交通大学,2012.
    [14]吕宗恕本报,王溟童实习生.不安静的地铁,舍了谁为了谁?[N].南方周末.
    [15]孙晓静.地铁列车振动对环境影响的预测研究及减振措施分析[D].北京交通大学,2008.
    [16]马蒙,刘维宁,丁德云,等.地铁列车振动对精密仪器影响的预测研究[J].振动与冲击.2011(03):185-190.
    [17]邬玉斌,刘如山,杨学山,等.地铁交通对某实验楼的环境振动的模拟分析[J].世界地震工程.2008(04):70-75.
    [18]Ma M, M L W, H J, et al. Prediction of environmental vibration in buildings induced by subway trains and mitigation measures analysis[Z].2010.
    [19]Ding D Y, S G, N L W, et al. Prediction of vibrations induced by trains on line 8 of beijing metro[J]. Journal of Zhejiang University.2010,11(4):208-293.
    [20]孙晓静,刘维宁,郭建平,等.地铁列车振动对精密仪器和设备的影响及减振措施[J].中国安全科学学报.2005(11):78-81.
    [21]S W. Potential low frequency ground vibration (&It;6.3 O;Hz) impacts from underground LRT operations[J]. Journal of Sound and Vibration.2003,267(3):651-661.
    [22]M F. Dublin metro north:baseline vibration monitoring report[R]. Dublin,2008.
    [23]Miloslav B. Effects on buildings of vibrations caused by traffic[J]. Building Science.1971,6(4): 221-246.
    [24]Breccolotti M, Materazzi A L, Salciarini D, et al. Vibrations induced by the new underground railway line in Palermo, Italy. Experimental measurements and FE modeling[Z].2011.
    [25]马蒙,刘维宁,丁德云.地铁列车引起的振动对西安钟楼的影响[J].北京交通大学学报.2010(04):88-92.
    [26]钱春宇,郑建国,宋春雨.西安钟楼台基受地铁运行振动响应的分析[J].世界地震工程.2010(S1):177-181.
    [27]雷永生.西安地铁二号线下穿城墙及钟楼保护措施研究[J].岩土力学.2010(01):223-228.
    [28]陈瑞春.西安地铁列车振动对钟楼影响的研究[D].北京交通大学,2008.
    [29]韩广森.城市轨道交通微幅振动对古建筑的影响[D].西安建筑科技大学,2011.
    [30]于海平.城市轨道交通微幅振动对西安南城墙的影响分析[D].西安建筑科技大学,2011.
    [31]Ma M, Liu W N, Ding D Y, et al. Vibration Impacts on Adjacent Heritage Buildings Induced by Metro Trains[C].2009.
    [32]贾颖绚,郭猛,刘维宁,等.列车振动荷载对古建筑的动力影响[J].北京交通大学学报.2009(01):118-122.
    [33]Ma M, Markine V E R, Liu W, et al. Metro train-induced vibrations on historic buildings in Chengdu, China[J]. Journal of Zhejiang University SCIENCE A.2011,12(10):782-793.
    [34]孙家麒主编.城市轨道交通振动和噪声控制简明手册[M].北京:中国科学技术出版社,2002:263.
    [35]沈保红.城市轨道交通噪声与振动控制对策[J].环境科学与管理.2005(05).
    [36]杨弘.高速列车减振降噪技术研究[J].铁道车辆.2006(02).
    [37]张艳平,杨宜谦,柯在田,等.城市轨道交通振动和噪声的控制[J].中国铁路.2000(03).
    [38]杨宏伟.新型减振Vanguard扣件短轨枕轨道工程施工技术[J].铁道建筑技术.2006(03).
    [39]王安斌,刘浪静,黄车红,等.潘得路先锋减振扣件系统及在广州地铁上的应用[J].现代城市轨道交通.2006(02).
    [40]吴建忠.Ⅲ型轨道减振器扣件的设计与研究[D].北京交通大学,2009.
    [41]邓娇,李金卫,黄友剑,等.Ⅲ型轨道减振器的设计与应用[J].铁道标准设计.2007(10).
    [42]周璨珺.不同类型扣件在地铁中的使用情况调查与分析[Z].上海:2010.
    [43]王羽杰.广州地铁4号线北延段工程轨道减振方案比选[J].铁道标准设计.2012(11):15-18.
    [44]谢达文.地铁钢弹簧浮置板轨道减振特性试验研究[D].北京交通大学,2008.
    [45]侯勇,张向慧.钢弹簧地铁浮置隔振装置的力学模型分析[J].北京工业职业技术学院学报.2009(01):34-36.
    [46]孔凡兵.不同支承条件下的浮置板轨道在城轨列车作用下的动力特性分析[D].中南大学,2008.
    [47]姚京川,杨宜谦,孙宁.浮置板式轨道结构的发展[J].中国铁路.2003(07).
    [48]吴川.考虑减振结构时效特性的轻轨系统耦合振动研究[D].上海交通大学,2009.
    [49]沈建文,许兆义,高亮.减小地铁振动对周边精密仪器工作环境影响的方案研究[Z].中国北京:20051293-1297.
    [50]http://en.wikipedia.org/wiki/Ladder_track[Z].
    [51]Matsumoto H W N, Inoue H. Technological innovation in railway structure system with ladder track system[C].1997.
    [52]http://www.tubulartrack.co.za/index.php/about/[Z].
    [53]http://www.railwaygazette.com/news/single-view/ view/tubular-track-offers-continuous-rail-support-at-a-competitive-price.html[Z].
    [54]http://www.tubulartrack.co.za/index.php/tubular-modular-track/what-is-tmt/[Z].
    [55]http://www.tubulartrack.co.za/index.php/2010/01/history-of-installations-from-1989-to-date/[Z].
    [56]http://www.tubulartrack.co.za/index.php/2010/02/gautrain-bumett-street-deviation/[Z].
    [57]http://www.railwaygazette.com/news/single-view/view/tubes-in-the-desert.html[Z].
    [58]苏宇.地铁梯式轨道减振特性试验研究[D].北京交通大学,2008.
    [59]http://www.mingweekly.com/article/shuttleworth-backs-railtrack-innovation-2003-10-17[Z].
    [60]齐琳,夏禾,任静.梯形轨枕的减振特征及论证[J].铁道标准设计.2007(10):67-71.
    [61]Asanuma K. ladder track structure and performance[J]. Railway Technology Avalanche.2004:35.
    [62]Wakui H, Matsumoto N, Inoue H. Ladder Sleeper and New Track Structures Development[J]. QUARTERLY REPORT-RTRI.1996,37:110-111.
    [63]Inoue H, Oyado M, Tottori S, et al. Mechanical Properties and Load-bearing Performances of Ladder Sleeper[R].,1996.
    [64]Wakui H. Ladder sleepers perform well in tests[J]. Railway Gazette International.1997,159: 589-592.
    [65]Wakui H. technical innovation in railway structures system with ladder sleeper[J]. Concrete Journal. 1998,36(5).
    [66]Asanuma K, Matsumoto N, Okuda H, et al. performacne of ballasted ladder track under heavy axle loads tested at TTCI[R].,2002.
    [67]Okuda H, Asanuma K, Matsumoto N, et al. Environmental Performance Improvement of Railway Structural System Using Ladder Track[C].2003.
    [68]Okuda H, Asanuma K, Matsumoto N, et al. Dynamic load, resistance and environmental performance of floating ladder track[J]. Quarterly report of RTRI.2004,45(3):149-155.
    [69]Asanuma K, Okuda H, Matsumoto N, et al. a buckling safty analyses of ballasted ladder track under thermal and vehicle loads[R].,2006.
    [70]邹永伟.高架轨道交通减振措施研究[J].铁道建筑技术.2006(05):29-31.
    [71]Hosking R J, Milinazzo F. Floating ladder track response to a steadily moving load[J]. Mathematical Methods in the Applied Sciences.2007,30(14):1823-1841.
    [72]Moghadas N F, Mirabi M M H. ladder sleeper behavior analysis[Z].2007.
    [73]苏宇,刘维宁,孙晓静.梯形轨道减振性能试验研究和数值模拟分析[J].都市快轨交通.2007(06).
    [74]苏宇,刘维宁,孙晓静,等.梯形轨道减振性能研究[J].铁道标准设计.2007(10).
    [75]张杰,姜坚白,邓玉姝,等.浮置式梯形轨道的承载性能与环境性能分析[J].铁道标准设计.2007(10):51-54.
    [76]邓玉姝,夏禾,邹永伟,等.城市轨道交通高架桥梯形轨枕轨道动力及减振作用分析[J].铁道标准设计.2007(10):55-58.
    [77]秦艳.城市轨道交通桥上梯形枕轨道纵向力分析[D].西南交通大学,2009.
    [78]李克飞,刘维宁,孙晓静,等.北京地铁5号线高架线减振措施现场测试与分析[J].中国铁道科学.2009(04):25-29.
    [79]Xia H, Chen J G, Xia C Y, et al. An experimental study of train-induced structural and environmental vibrations of a rail transit elevated bridge with ladder tracks[J]. Proceedings of the Institution of Mechanical Engineers, Part F:Journal of Rail and Rapid Transit.2010,224(3):115-124.
    [80]马娜.梯形轨枕轨道结构的加速度分析[J].山西建筑.2010(29):271-272.
    [81]马娜.桥上梯形轨枕轨道动力特性分析[D].西南交通大学,2009.
    [82]王文斌,刘维宁,马蒙,等.梯形轨道系统动力特性及减振效果试验研究[J].中国铁道科学.2010(02).
    [83]王文斌.基于脉冲实验的地铁环境振动响应传递函数预测方法研究[D].北京交通大学,2011.
    [84]邓玉姝,夏禾,Guido De Roeck高架桥梯形轨枕轨道不平顺测量[J].北京交通大学学报.2010(04):102-106.
    [85]邓玉姝,夏禾,善田康雄,等.城市轨道交通梯形轨枕轨道高架桥梁试验研究[J].工程力学.2011(03).
    [86]李小妮.大瑞铁路梯形枕无砟轨道设计研究[D].西南交通大学,2010.
    [87]高飞,夏禾,安宁.北京地铁5号线高架结构的辐射噪声分析与实验研究[J].中国铁道科学.2010(05):134-139.
    [88]沈建文,高亮,戴春阳,等.减振轨道形式对地铁曲线上钢轨磨耗影响的仿真[J].北京交通 大学学报.2011(04):38-43.
    [89]陈建国,夏禾,姚锦宝.高架轨道交通列车对周围环境振动影响的试验研究[J].振动与冲击.2011,30(2):159-163.
    [90]战家旺,夏禾,善田康雄,等.城市轨道交通高架桥梯形轨枕轨道降噪性能试验分析[J].中国铁道科学.2011(01):36-40.
    [91]Hosking R J, Milinazzo F. Modelling the Floating Ladder Track Response to a Moving Load by an Infinite Bernoulli-Euler Beam on Periodic Flexible Supports[J].
    [92]杨新文,和振兴.梯形轨枕轨道振动特性研究[J].振动工程学报.2012(04):388-393.
    [93]金浩,刘维宁.基于蚁群算法梯式轨枕轨道减振优化研究[J].中南大学学报(自然科学版).2012,43(7):2752.
    [94]金浩,刘维宁.基于功率流法梯式轨枕轨道减振性能研究[J].地震工程与工程振动.2012(03):165-170.
    [95]Liu X Z, Lian S L, Wei H L. Analysis on Vibration Reduction Characteristics of Ladder Track Structure on Metro Viaduct under Measured Track Irregularities[J]. Applied Mechanics and Materials. 2012,226:406-410.
    [96]高亮,辛涛,肖宏,等.高速铁路桥上不同轨枕型式动力特性对比[J].同济大学学报(自然科学版).2012,40(1):68-72.
    [97]Modal analysis of damping performances of the ladder track with different bearing styles[Z].
    [98]金浩,刘维宁,王文斌.梯式轨枕轨道模态试验分析[J].工程力学.2013(03):459-463.
    [99]金浩,刘维宁.蚁群算法耦合LS-DYNA梯式轨枕轨道动力特性优化[J].振动与冲击.2013(02):24-28.
    [100]张韵青.地铁列车振动响应及轨道结构参数影响分析[D].北京交通大学,2004.
    [101]贾颖绚.基于解析的车轨耦合模型及地铁对环境的振动影响研究[D].北京交通大学,2009.
    [102]李克飞.基于变速及曲线车轨耦合频域解析模型的地铁减振轨道动力特性研究[D].北京交通大学,2012.
    [103]刘卫丰.地铁列车运行引起的隧道及自由场动力响应数值预测模型研究[D].北京交通大学,2009.
    [104]王文斌.基于脉冲实验的地铁环境振动响应传递函数预测方法研究[D].北京交通大学,2011.
    [105]丁德云.地铁列车振动环境响应低频特征的分析与研究[D].北京交通大学,2010.
    [106]Kirkpatrick S, Gelatt Jr C D, Vecchi M P. Optimization by simulated annealing[J]. science.1983, 220(4598):671-680.
    [107]Holland J H. Adaptation in natural and artificial systems[M]. University of Michigan press,1975.
    [108]Glover F. Heuristics for integer programming using surrogate constraints[J]. Decision Sciences. 1977,8(1):156-166.
    [109]刘彦鹏.蚁群优化算法的理论研究及其应用[D].浙江大学,2007.
    [110]段海滨著.蚁群算法原理及其应用[M].北京:科学出版社,2005.
    [111]Deneubourg J L, Goss S, Pasteels J M, et al. Self-organization mechanisms in ant societies. II. Learning in foraging and division of labor[J]. Experientia Supplementum.1987,54:177-196.
    [112]Pasteels J M, Deneubourg J L, Goss S. Self-organization mechanisms in ant societies (Ⅰ):trail recruitment to newly discovered food sources[J]. Experientia.1987,54(1):155-175.
    [113]Van Vorhis Key S E, Baker T C. Observations on the trail deposition and recruitment behaviors of the Argentine ant, Iridomyrmex humilis (Hymenoptera:Formicidae)[J]. Annals of the Entomological Society of America.1986,79(2):283-288.
    [114]Goss S, Aron S, Deneubourg J L, et al. Self-organized shortcuts in the Argentine ant[J]. Naturwissenschaften.1989,76(12):579-581.
    [115]Deneubourg J L, Aron S, Goss S, et al. The self-organizing exploratory pattern of the argentine ant[J]. Journal of insect behavior.1990,3(2):159-168.
    [116]Colorni A, Dorigo M, Maniezzo V, et al. Distributed optimization by ant colonies[C].1991.
    [117]Dorigo M, Maniezzo V, Colorni A. Ant system:optimization by a colony of cooperating agents[J]. Systems, Man, and Cybernetics, Part B:Cybernetics, IEEE Transactions on.1996,26(1):29-41.
    [118]张小广,李绍军,刘漫丹.混合蚁群算法及其在裂解深度建模中的应用[J].化工自动化及仪表.2008(06):9-13.
    [119]刘强.目标表面激光双向反射分布函数的测量与优化统计建模[D].西安电子科技大学,2010.
    [120]Gambardella L M, Dorigo M, Others. Ant-Q:A reinforcement learning approach to the traveling salesman problem[C].1995.
    [121]Gambardella L M, Dorigo M. Solving symmetric and asymmetric TSPs by ant colonies[C].1996.
    [122]Dorigo M, Gambardella L M. Ant colony system:A cooperative learning approach to the traveling salesman problem[J]. Evolutionary Computation, IEEE Transactions on.1997,1(1):53-66.
    [123]Dorigo M, Gambardella L M, Others. Ant colonies for the travelling salesman problem[J]. BioSystems.1997,43(2):73-82.
    [124]Dorigo M, Di Caro G. Ant colony optimization:a new meta-heuristic[C].1999.
    [125]St U Tzle T, Hoos H. Improving the Ant System:A detailed report on the MAX-MIN Ant System[J].1996.
    [126]Thomas S, Holger H H. MAX-MIN ant system[J]. Future Generation Computer Systems.2000, 16(8):889-914.
    [127]Michael J, Jean-Bernard B, Laurent K. Ant-like task and recruitment in cooperative robots[J]. Nature.2000,406(31):992-995.
    [128]Dorigo M, Bonabeou E, Theraulaz G. Inspiration for optimization from social insect behavior[J]. Nature.2000,406(6):39-42.
    [129]Jackson D E, Holcombe M, Ratnieks F L W. Trail geometry gives polarity to ant foraging networks[J]. Nature.2004,432(7019):907-909.
    [130]Dorigo M, Caro G D, Gambardella L M. Ant algorithms for discrete optimization[J]. Artificial life. 1999,5(2):137-172.
    [131]Dorigo M, Blum C. Ant colony optimization theory:A survey[J]. Theoretical computer science. 2005,344(2):243-278.
    [132]Deng G, Lin W. Citation analysis and bibliometric approach for ant colony optimization from 1996 to 2010[J]. Expert Systems with Applications.2011.
    [133]潘东平,刘锋,李丽娟,等.橡胶混凝土的应用和研究概况[J].橡胶工业.2007(3):182-185.
    [134]Bilchev G, Parmee I C. The ant colony metaphor for searching continuous design spaces[Z]. UK: University of Sheffield,199525-39.
    [135]Wang L, Wang X P, Wu Q D. Ant system algorithm based Rosenbrock function optimization in multi-dimension space[C].2002.
    [136]Wang L, Wu Q. Further example study on ant system algorithm based continuous space optimization[Z].20022541-2545.
    [137]Wang L, Wu Q. Ant system algorithm for optimization in continuous space[Z].2001395-400.
    [138]Dr E O J, Siarry P. A new ant colony algorithm using the heterarchical concept aimed at optimization of multiminima continuous functions[J]. Ant Algorithms.2002:216-221.
    [139]陈峻,沈洁,秦玲.蚁群算法求解连续空间优化问题的一种方法[J].软件学报.2002,13(12):2317-2323.
    [140]陈峻,沈洁,秦玲.蚁群算法进行连续参数优化的新途径[J].系统工程理论与实践.2003,23(3):48-53.
    [141]Yan-Jun L, Tie-Jun W. An adaptive ant colony system algorithm for continuous-space optimization problems[J]. Journal of Zhejiang University-Science A.2003,4(1):40-46.
    [142]Yanjun L, Tie-Jun W, Hill D J. An accelerated ant colony algorithm for complex nonlinear system optimization[Z].2003709-713.
    [143]杨勇,宋晓峰,王建飞,等.蚁群算法求解连续空间优化问题[J].控制与决策.2003,18(5):573-576.
    [144]汪镭,吴启迪.蚁群算法在连续空间寻优问题求解中的应用[J].控制与决策.2003,18(1):45-48,57.
    [145]闻育,吴铁军.求解复杂多阶段决策问题的动态窗口蚁群优化算法[J].自动化学报.2004,30(6):872-879.
    [146]Yu W, Tie-Jun W. Dynamic window search of ant colony optimization for complex multi-stage decision problems[C].2003.
    [147]Pourtakdoust S, Nobahari H. An extension of ant colony system to continuous optimization problems[J]. Ant Colony Optimization and Swarm Intelligence.2004:158-173.
    [148]陈烨.用于连续函数优化的蚁群算法[J].四川大学学报(工程科学版).2004,36(6):117-120.
    [149]Haibin D, Daobo W, Jiaqiang Z. Novel method based on ant colony optimization for solving ill-conditioned linear systems of equations[J]系统工程与电子技术.2005,16(3).
    [150]段海滨,王道波,于秀芬,等.一种改进的蚁群算法用于灰色约束非线性规划问题求解[J].四川大学学报(自然科学版).2004,41(5):973-977.
    [151]张勇德,黄莎白.多目标优化问题的蚁群算法研究[J].控制与决策.2005,20(2):170-173,178.
    [152]Kong M, Tian P. A direct application of ant colony optimization to function optimization problem in continuous domain[J]. Ant Colony Optimization and Swarm Intelligence.2006:324-331.
    [153]寇晓丽,刘三阳,张建科.一种随机蚁群算法求解连续空间优化问题[J].系统工程与电子技术.2006,28(12):1909-1911.
    [154]马卫,朱庆保.求解函数优化问题的快速连续蚁群算法[J].电子学报.2008,36(11):2120-2124.
    [155]马卫.求解函数优化问题的连续新蚂蚁算法研究[D].南京师范大学,2009.
    [156]Hu X M, Zhang J, Li Y. Orthogonal methods based ant colony search for solving continuous optimization problems[J]. Journal of Computer Science and Technology.2008,23(1):2-18.
    [157]李盼池,李士勇.求解连续空间优化问题的量子蚁群算法[J].控制理论与应用.2008,25(2):237-241.
    [158]李盼池,宋考平,杨二龙.基于相位编码的量子蚁群算法[J].系统工程理论与实践.2011,31(8):1565-1570.
    [159]葛艳,逢海萍,孟友新,等.求解连续空间优化问题的Powell蚁群算法[J].哈尔滨工业大学学报.2009(12).
    [160]Hu X M, Zhang J, Chung H S H, et al. SamACO:variable sampling ant colony optimization algorithm for continuous optimization[J]. Systems, Man, and Cybernetics, Part B:Cybernetics, IEEE Transactions on.2010,40(6):1555-1566.
    [161]Koros ec P, Tashkova K, S ilc J. The differential Ant-Stigmergy Algorithm for large-scale global optimization[C].2010.
    [162]金浩,刘维宁.基于觅食-返巢机制连续域蚁群算法[J].计算机工程与应用.2012(01):24-26.
    [163]王凌.智能优化算法及其应用[M].北京:清华大学出版社,2001.
    [164]张铃,张钹.遗传算法机理的研究[J].软件学报.2000,11(7):945-952.
    [165]杨荣华,刘建华.基于粒子群算法求解整数规划的改进方法[J].福建工程学院学报.2011(04):347-350.
    [166]Pareto V. Cours dD· conomie politique[M]. Lausanne:F. Rouge,1896.
    [167]Zitzler E, Deb K, Thiele L. Comparison of multiobjective evolutionary algorithms:Empirical results[J]. Evolutionary computation.2000,8(2):173-195.
    [168]朱刚,马良.多目标函数优化的元胞蚂蚁算法[J].控制与决策.2007,22(11):1317-1320.
    [169]北京东方振动与噪声技术研究所DASP V10智能数据采集和信号处理操作使用手册[M].2011.
    [170]高锐.预应力箱型梁的静力特性与动力特性研究[D].大庆石油学院,2007.
    [171]武江虹.北京地铁1、2号线扣件改造设计总结[J].铁道标准设计.2009(02).
    [172]于春华.城市轨道交通轨道扣件综述[J].铁道工程学报.2003(03).
    [173]吴建忠,李湘久,武江虹.北京城市铁路弹性扣件的研究设计[J].铁道建筑.2003.
    [174]吴建忠,李湘久,武江虹.高架线DTⅦ2型扣件的设计研究[J].地铁与轻轨.2003(03).
    [175]钟文文,万今仪.广州地铁轨道单趾弹簧扣件锚固螺栓的研制[J].铁道建筑.2001(01).
    [176]中华人民共和国住房和城乡建设部.城市轨道交通引起建筑物振动与二次辐射噪声限值以其测量方法标准[S].2009.
    [177]刘春生.橡胶集料混凝土的耐久性能及在桥面铺装上的应用研究[D].2009.
    [178]Eldin, Neil N, Senouci. Rubber-tired particles as concrete aggregate[J]. Journal of Materials in Civil Engineering.1993,4(5):478-496.
    [179]H. R, Jlepore, T. S, et al. Use of recycled rubber tyres in concrete[G].1993:391-399.
    [180]宋少民,刘娟红,金树新.橡胶粉改性的高韧性混凝土研究[J].混凝土与水泥制品.1997(1):10-11.
    [181]田薇,郑磊,袁勇.橡胶混凝土脆性的试验研究[J].混凝土.2007(2):37-40.
    [182]Mead D J. Vibration response and wave propagation in periodic structures[J]. Journal of Engineering for Industry.1971,93:783.
    [183]Belotserkovskiy P M. On the oscillations of infinite periodic beams subjected to a moving concentrated force[J]. Journal of sound and vibration.1996,193(3):705-712.
    [184]Kruse H, Popp K. A modular algorithm for linear, periodic train-track models[J]. Archive of Applied Mechanics.2001,71(6):473-486.
    [185]Hussein M, Hunt H. Modelling of floating-slab track with discontinuous slab Part 2:response to moving trains[J]. Low Frequency Noise, Vibration and Active Control.2006,25(2):111-118.
    [186]Hussein M, Hunt H. Modelling of Floating-Slab Track with Discontinuous Slab Part 1:Response to Oscillating Moving Loads[J]. Low Frequency Noise, Vibration and Active Control.2006,25(1):23-39.
    [187]路光辉.废旧轮胎橡胶改性混凝土的弹性模量及极限应变试验研究[J].城市建设.2010(28):101-102.
    [188]李伟,盖玉杰,王晓初.橡胶混凝土的力学性能试验[J].东北林业大学学报.2009,37(4):63-64.
    [189]熊杰,郑磊,袁勇.废橡胶混凝土抗压强度试验研究[J].混凝土.2004(12):40-42.
    [190]左鹤声.机械阻抗方法与应用[M].机械工业出版社,1987.
    [191]Uic.对于有关铁路车辆振动中评估乘客乘坐舒适性的指导[S].1994.
    [192]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.机械振动与冲击人体暴露于全身振动的评价第1部分:一般要求[S].2007.
    [193]国家环境保护局.城市区域环境振动标准[S].1988.

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