Optimization Design for Internal Structure of Embedded Rail Trough
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摘要: 嵌入式无砟轨道具有养护维修工作量小、结构稳定等特点,还具有良好的减振降噪性能,特别适应城市轨道交通运营需求,广泛应用在现代有轨电车线路建设中.由于嵌入式轨道的结构特点,其优化重点在槽内结构型式及包覆钢轨的高分子复合弹性体.利用有限元软件ANSYS对嵌入式轨道进行动、静态分析.在拓扑优化的基础上,根据城市轨道交通成本、安全、噪声、振动等功能要求构建轨道结构功能优化目标函数,对嵌入式轨道槽内结构进行优化设计.研究结果表明:针对槽型轨减少靠近轨腰与轨底连接处的复合材料,可以在保证轨道刚度前提下,尽可能节省成本;考虑降噪性能、隔振效果高分子复合材料包覆钢轨高度不宜降低,即应使其完全包覆钢轨;一般地段承轨槽宽度宜在200~220 mm;对于隔振要求严格的区域,增大承轨槽宽度是提高轨道结构隔振效果最有效的手段;复合材料弹性模量选取时,在保证轨道横向刚度的前提下,减小轨道板混凝土结构的应力水平.Abstract: Embedded ballastless tracks are stable, low maintenance, and good at shock absorption and noise reduction, such that it accommodates the requirements of urban rail transit operation, and has been widely used in the construction of modern tram lines. Owning to the structural characteristics of embedded tracks, its optimization focuses on the trough structure and the polymer composite covering the rail. In this work, the static and dynamic behaviors of embedded ballastless tracks are analyzed by using the finite element software ANSYS. On the basis of topology optimization, given the requirements of cost, safety, noise, and vibration on the urban rail transit, the structure of embedded rail trough is optimized. The results indicate that less composite material at the junction of embedded rail waist and bottom saves the cost while guaranteeing track stiffness. Instead of being lowered in height, polymer composite material should cover the rail completely to decrease the noise and vibration. The width of the bearing slot should range between 200 and 220 mm at normal parts. Increasing the width of the bearing slot is the most effective measure to reduce the vibration in the areas subject to strict vibration requirement. The elastic modulus of the composite material should be chosen to ensure the track transverse stiffness and reduce the stress level of concrete track slab.
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Key words:
- embedded rail /
- tram /
- optimal design /
- power flow
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表 1 设计参数的边界和初始值
Table 1. Boundary and initial values of design parameters
设计变量 下限 上限 初始值 x1/cm 20 24 21 x2/cm 11 36 8 x3/cm 11 36 8 x4/mm 8 40 30 x5/MPa 1 10 4 表 2 单一目标优化的数值结果
Table 2. Numerical results of single objective optimization
项目 参数 初步设计 单一目标优化 复合物 噪声 减振 设计变量 x1/mm 210 208 200 240 x2/mm 170 118 170 170 x3/mm 170 155 170 170 x4/mm 30 37 8 8 x5/MPa 4.00 2.86 10.00 2.14 约束条件 σ/MPa 0.61 0.45 1.32 0.56 ux, 2/mm 1.11 1.97 0.56 1.26 目标值 FC/(dm3•m−1) 0.022 0.014 0.025 0.032 FN 0.24 0.54 0.18 0.28 FM/dB 0 −34 8 33 表 3 多目标优化的数值结果
Table 3. Numerical results of multi-objective optimization
项目 参数 wC = 0.33,wN = 0.33,
wM = 0.33wC = 0.5,wN = 0.5,
wM = 0wC = 0.5,wN = 0,
wM = 0.5wC = 0,wN = 0.5,
wM = 0.5设计变量 x1/mm 202 204 228 240 x2/mm 170 170 159 170 x3/mm 170 170 164 170 x4/mm 28 40 40 8 x5/MPa 10 10 3 10 约束条件 σ/MPa 1.08 0.96 0.50 1.35 ux, 2/mm 0.76 0.99 1.32 0.65 目标值 FC/(dm3•m−1) 0.200 0.016 0.019 0.032 FN 0.20 0.23 0.30 0.21 FM/dB −5.32 −22.00 −5.00 29.00 -
徐正和. 现代有轨电车的崛起和探索[J]. 现代城市轨道交通,2005(2): 11-15.XU Zhenghe. The emergence and exploration of modern trams[J]. Modern Urban Transit, 2005(2): 11-15. 薛美根,杨立峰,程杰. 现代有轨电车主要特征与国内外发展研究[J]. 城市交通,2008,6(6): 716-717.XUE Meigen, YANG Lifeng, CHENG Jie. Modern trams:characteristics & development both at home and abroad[J]. Urban Transport of China, 2008, 6(6): 716-717. 李元坤,苗彦英. 国外现代有轨电车建设发展的启示[J]. 城市轨道交通研究,2013,16(6): 29-32. doi: 10.3969/j.issn.1007-869X.2013.06.008LI Yuankun, MIAO Yanying. Enlightenment of modern tram construction and development in foreign countries[J]. Urban Mass Transit, 2013, 16(6): 29-32. doi: 10.3969/j.issn.1007-869X.2013.06.008 翟婉明,赵春发. 现代轨道交通工程科技前沿与挑战[J]. 西南交通大学学报,2016,51(2): 209-226. doi: 10.3969/j.issn.0258-2724.2016.02.001ZHAI Wanming, ZHAO Chunfa. Frontiers and challenges of sciences and technologies in modern railway engineering[J]. Journal of Southwest Jiaotong University, 2016, 51(2): 209-226. doi: 10.3969/j.issn.0258-2724.2016.02.001 李芾,杨阳. 城市自导向胶轮电车技术特点与应用[J]. 西南交通大学学报,2016,51(2): 291-299. doi: 10.3969/j.issn.0258-2724.2016.02.009LI Fu, YANG Yang. Characteristics and application of urban rubber-tyred self-steering trams[J]. Journal of Southwest Jiaotong University, 2016, 51(2): 291-299. doi: 10.3969/j.issn.0258-2724.2016.02.009 胥燕军,林红松,王健,等. 现代有轨电车轨道结构综述[J]. 铁道标准设计,2014,56(7): 58-62.XU Yanjun, LIN Hongsong, WANG Jian, et al. Overview on track structure for modern tramway[J]. Railway Standard Design, 2014, 56(7): 58-62. 牛月明,戴月辉. 钢轨嵌入式轨道结构及其设计优化[J]. 城市轨道交通研究,2003,6(6): 100-102. doi: 10.3969/j.issn.1007-869X.2003.06.024NIU Yueming, DAI Yuehui. The structure of embedded track[J]. Urban Mass Transit, 2003, 6(6): 100-102. doi: 10.3969/j.issn.1007-869X.2003.06.024 秦超红. 嵌入式轨道线路稳定性研究[D]. 成都: 西南交通大学, 2014. 李娟,胥燕军,任娟娟. 现代有轨电车单层板轨道结构参数研究[J]. 铁道标准设计,2015,59(4): 24-27.LI Juan, XU Yanjun, REN Juanjuan, et al. Study on parameters of modern tram single plate track structure[J]. Railway Standard Design, 2015, 59(4): 24-27. 毕澜潇,赵坪锐,林红松,等. 嵌入式轨道PVC管埋设方式对轨道结构受力影响分析[J]. 铁道标准设计,2017,61(7): 37-42.BI Lanxiao, ZHAO Pingrui, LIN Hongsong, et al. Analysis on force effect of embedded track pvc tube on track structure[J]. Railway Standard Design, 2017, 61(7): 37-42. 张朝晖. ANSYS 12.0结构分析工程应用实例讲解[M]. 北京: 机械出版社, 2010: 539-546 林红松,颜华. 有轨电车埋入式无砟轨道及关键部件型式研究[J]. 铁道工程学报,2016(6): 60-65. doi: 10.3969/j.issn.1006-2106.2016.06.013LIN Hongsong, YAN Hua. Type research on the embedded ballastless track structures and key components of modern tram way[J]. Journal of Railway Engineering Society, 2016(6): 60-65. doi: 10.3969/j.issn.1006-2106.2016.06.013 李成辉. 轨道[M]. 成都: 西南交通大学出版社, 2012: 68-70 MARKINE V, DE MAN A, JOVANOVIC S, et al. Modelling and optimisation of an embedded rail structure[J]. Rail International, 2000(1): 15-23. 伍先俊,朱石坚,曹建华. 结构声振研究的功率流方法[J]. 力学进展,2006,36(3): 362-372.WU Xianjun, ZHU Shijian, CAO Jianhua. Review on structural vibration power flow prediction methods[J]. Advances in Mechanics, 2006, 36(3): 362-372. 伍先俊,程广利,朱石坚. 最小振动功率流隔振系统ANSYS优化设计[J]. 武汉理工大学学报(交通科学与工程版),2005,29(2): 186-189. doi: 10.3963/j.issn.2095-3844.2005.02.007WU Xianjun, CHENG Guangli, ZHU Shijian. Isolation system optimization by ansys for minimizing vibration power flow[J]. Journal of Wuhan University of Technology (Transportation Science & Engineering), 2005, 29(2): 186-189. doi: 10.3963/j.issn.2095-3844.2005.02.007 吴永芳. 轨道减振效果系统评价方法研究[J]. 中国铁道科学,2013,34(3): 1-6. doi: 10.3969/j.issn.1001-4632.2013.03.01WU Yongfang. Investigation into the evaluation method for vibration damping effect of track systems[J]. China Railway Science, 2013, 34(3): 1-6. doi: 10.3969/j.issn.1001-4632.2013.03.01