Time-Frequency Characteristics of Vibration Acceleration of High-Speed Railway Subgrade Under Ejection Impact Load
-
摘要:
高速铁路具有运营时速快、平顺性高等特点，将其作为列车机动发射站坪具有一定的优势，其振动加速度作为高铁路基结构破坏的关键参数有重要的研究价值. 借助ANSYS有限元分析软件，结合弹塑性理论并引入三维一致粘弹性人工边界及其边界单元，建立半无限长无砟轨道-路基-地基非线性耦合静力学分析模型；在此基础上进行模态分析，得到了模型系统的振型、固有频率，进而建立了动力分析模型，并对比弹性地基梁板模型进行模型验证；基于上述动力分析模型，结合弹射冲击荷载得到了各结构层加速度时域信号；最后，基于EEMD-HHT变换对加速度信号进行时频分析. 研究结果表明：各结构层加速度在荷载突变处取得瞬时加速度峰值，在0.17 s处取得加速度幅值；各结构层加速度成分主要分布在0～20 Hz，其中，2 Hz及10 Hz两处有明显峰值，且在2 Hz附近分布最为集中；自密实混凝土层、底座板、基床表层几乎没有发生加速度成分的吸收，而基床底层及以下有较大幅的吸收，因此，应重点关注0～20 Hz超低频范围内的基床表层及以上结构层的动力响应.
Abstract:high-speed railway is characterized by fast operation speed and high smoothness, and has certain advantages when used as a platform for train launching. Its vibration acceleration can be used as a critical parameter to assess the structural damage in high-speed railway subgrade. Using the finite element analysis software ANSYS, a semi-infinite ballastless track-subgrade-foundation nonlinear coupling static analysis model is established by elastic-plastic theory and introducing the three-dimensional uniform viscoelastic artificial boundary with its boundary element. The modal shape and natural frequency of the model system are obtained by modal analysis, and then a dynamic analysis model is established. The dynamic model is verified by comparing with the beam-slab model on an elastic foundation. Based on the dynamic analysis model, the time-domain acceleration signals of each structural layer under ejection impact load are obtained. Finally, the acceleration signals are analyzed through EEMD-HHT transform. The results show that the peak instantaneous acceleration occurs at the time of sudden change of load, and the amplitude of acceleration is obtained at 0.17 s. The acceleration components of each structural layer are mainly distributed in the range of 0–20 Hz, and there are two prominent peaks at 2 Hz and 10 Hz, most concentrated in the vicinity of 2 Hz. The three structural layers including the self-compacting concrete layer, the pedestal plate and the subgrade surface layer almost do not absorb any vibration acceleration components, but the subgrade bottom layer and the zone below it have significant absorption. Therefore, more attention should be paid to the dynamic response of the subgrade surface layer and upper layers in the ultra-low frequency range of 0–20 Hz
-
图 8 荷载突变时加速度衰减曲线
Figure 8. Acceleration attenuation curves at the time of sudden load change
-
[1] 国家发改委,交通运输部,国家铁路局,中国铁路总公司. 铁路“十三五”发展规划[J]. 隧道建设(中英文),2017,37(12): 1584. [2] GAO G Y, BI J W, CHEN Q S, et al. Analysis of ground vibrations induced by high-speed train moving on pile-supported subgrade using three-dimensional FEM[J]. Journal of Central South University, 2020, 27(8): 2455-2464. doi: 10.1007/s11771-020-4461-4 [3] 牛婷婷,刘汉龙,丁选明,等. 高铁列车荷载作用下桩网复合地基振动特性模型试验[J]. 岩土力学,2018,39(3): 872-880. doi: 10.16285/j.rsm.2016.0680NIU Tingting, LIU Hanlong, DING Xuanming, et al. Piled embankment model test on vibration characteristics under high-speed train loads[J]. Rock and Soil Mechanics, 2018, 39(3): 872-880. doi: 10.16285/j.rsm.2016.0680 [4] 张鲁顺. 高速铁路无砟轨道列车荷载传递特征及机理研究[D]. 北京: 北京交通大学, 2020. [5] 周颖,陈瑾. 轨道-路基体系一致动力相似设计方法与动力试验[J]. 同济大学学报(自然科学版),2019,47(6): 815-823,841.ZHOU Ying, CHEN Jin. Uniform dynamic similitude method and experimental study for the track-subgrade system[J]. Journal of Tongji University (Natural Science), 2019, 47(6): 815-823,841. [6] 章皖凯. 高速列车运行诱发的轨道-路基-地基结构振动及隔振技术研究[D]. 徐州: 中国矿业大学, 2019. [7] 薛富春,张建民. 移动荷载下高铁路基段振动加速度频谱衰减特性[J]. 岩土力学,2015,36(增1): 445-451.XUE Fuchun, ZHANG Jianmin. Attenuations of acceleration spectra of high-speed railway embankment subjected to moving loads[J]. Rock and Soil Mechanics, 2015, 36(S1): 445-451. [8] 马利衡,梁青槐,谷爱军,等. 沪宁城际高速铁路路基段振动试验研究及数值分析[J]. 铁道学报,2014,36(1): 88-93.MA Liheng, LIANG Qinghuai, GU Aijun, et al. Experimental study and numerical analysis on vibrations of subgrades of Shanghai-Nanjing intercity high-speed railway[J]. Journal of the China Railway Society, 2014, 36(1): 88-93. [9] LI N, LONG G C, FU Q, et al. Dynamic mechanical characteristics of filling layer self-compacting concrete under impact loading[J]. Archives of Civil and Mechanical Engineering, 2019, 19(3): 851-861. doi: 10.1016/j.acme.2019.03.007 [10] 裴承杰. 冲击荷载作用下CRTS Ⅲ型板式轨道-路基动力特性研究[D]. 成都: 西南交通大学, 2016. [11] 武思思. 基于瞬态冲击响应的CRTS Ⅱ型板式无砟轨道脱空检测方法研究[D]. 石家庄: 石家庄铁道大学, 2018. [12] 崔树坤. 扣件弹性垫板刚度对CRTSⅠ型板式无砟轨道冲击疲劳特性的影响研究[D]. 北京: 中国铁道科学研究院, 2019. [13] 毕澜潇,赵林,赵坪锐,等. 无砟轨道轮轨垂向冲击荷载实用计算式[J]. 中国铁道科学,2020,41(6): 20-29. doi: 10.3969/j.issn.1001-4632.2020.06.03BI Lanxiao, ZHAO Lin, ZHAO Pingrui, et al. Practical calculation formula for vertical wheel/rail impact load of ballastless track[J]. China Railway Science, 2020, 41(6): 20-29. doi: 10.3969/j.issn.1001-4632.2020.06.03 [14] 尹紫红,朱仁政. 弹射冲击荷载下重载铁路路基动应力特征[J]. 中国铁道科学,2020,41(5): 20-30. doi: 10.3969/j.issn.1001-4632.2020.05.03YIN Zihong, ZHU Renzheng. Dynamic stress characteristics of subgrade system for heavy haul railway under ejection impact load[J]. China Railway Science, 2020, 41(5): 20-30. doi: 10.3969/j.issn.1001-4632.2020.05.03 [15] 聂志红,李亮,刘宝琛,阮波. 秦沈客运专线路基振动测试分析[J]. 岩石力学与工程学报,2005,24(6): 1067-1071. doi: 10.3321/j.issn:1000-6915.2005.06.030NIE Zhihong, LI Liang, LIU Baochen, et al. Testingandanalysis on vibration of subgrade for Qinhuangdao—Shenyang railway[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(6): 1067-1071. doi: 10.3321/j.issn:1000-6915.2005.06.030 [16] 汪冬生,吴铁君. ANSYS中的钢筋混凝土单元[J]. 武汉理工大学学报(交通科学与工程版),2004,28(4): 526-529.WANG Dongsheng, WU Tiejun. Reinforced concrete units in ANSYS software[J]. Journal of Wuhan University of Technology (Transportation Science & Engineering), 2004, 28(4): 526-529. [17] 孔位学,芮勇勤,董宝弟. 岩土材料在非关联流动法则下剪胀角选取探讨[J]. 岩土力学,2009,30(11): 3278-3282. doi: 10.3969/j.issn.1000-7598.2009.11.010KONG Weixue, RUI Yongqin, DONG Baodi. Determination of dilatancy angle for geomaterials under non-associated flow rule[J]. Rock and Soil Mechanics, 2009, 30(11): 3278-3282. doi: 10.3969/j.issn.1000-7598.2009.11.010 [18] 陈万祥,郭志昆,袁正如,等. 地震分析中的人工边界及其在LS-DYNA中的实现[J]. 岩石力学与工程学报,2009,28(增2): 3504-3515. doi: 10.3321/j.issn:1000-6915.2009.z2.032CHEN Wanxiang, GUO Zhikun, YUAN Zhengru, et al. Artificial boundary for seismic analysis and its applications in LS-DYNA[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(S2): 3504-3515. doi: 10.3321/j.issn:1000-6915.2009.z2.032 [19] 谷音,刘晶波,杜义欣. 三维一致粘弹性人工边界及等效粘弹性边界单元[J]. 工程力学,2007,24(12): 31-37. doi: 10.3969/j.issn.1000-4750.2007.12.006GU Yin, LIU Jingbo, DU Yixin. 3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J]. Engineering Mechanics, 2007, 24(12): 31-37. doi: 10.3969/j.issn.1000-4750.2007.12.006 [20] 刘晶波, 杜义欣, 闫秋实. 粘弹性人工边界及地震动输入在通用有限元软件中的实现[C]//第三届全国防震减灾工程学术研讨会论文集. 南京: [出版者不详], 2007: 43-48 [21] 国家铁路局. 高速铁路设计规范: TB 10621—2014[S]. 北京: 中国铁道出版社, 2014. [22] 尹紫红,朱仁政. 弹射冲击荷载作用下有砟铁路路基参数敏感性研究[J]. 地震工程与工程振动,2019,39(4): 204-212.YIN Zihong, ZHU Renzheng. Parameters sensitivity research of ballast railway subgrade under ejection impact loading[J]. Earthquake Engineering and Engineering Dynamics, 2019, 39(4): 204-212. [23] 张震东,马大为,胡建国,等. 弹射冲击载荷作用下沥青混凝土路面面层的损伤[J]. 工程力学,2015,32(10): 161-168. doi: 10.6052/j.issn.1000-4750.2014.02.0111ZHANG Zhendong, MA Dawei, HU Jianguo, et al. Damage of surface layer of asphalt concrete pavement under launching impact load[J]. Engineering Mechanics, 2015, 32(10): 161-168. doi: 10.6052/j.issn.1000-4750.2014.02.0111 [24] 袁成林. 强冲击作用下发射场坪动力响应研究[D]. 南京: 南京理工大学, 2018. [25] 杨邦强. 特种荷载作用下铁路轨道路基试验研究[D]. 成都: 西南交通大学, 2017. [26] 赵坪锐,章元爱,刘学毅,等. 无砟轨道弹性地基梁板模型[J]. 中国铁道科学,2009,30(3): 1-4. doi: 10.3321/j.issn:1001-4632.2009.03.001ZHAO Pingrui, ZHANG Yuanai, LIU Xueyi, et al. Beam-plate model on the elastic foundation of ballastless track[J]. China Railway Science, 2009, 30(3): 1-4. doi: 10.3321/j.issn:1001-4632.2009.03.001 [27] 钟佑明,秦树人,汤宝平. 希尔伯特黄变换中边际谱的研究[J]. 系统工程与电子技术,2004,26(9): 1323-1326. doi: 10.3321/j.issn:1001-506X.2004.09.046ZHONG Youming, QIN Shuren, TANG Baoping. Study on the marginal spectrum in Hilbert-Huang transform[J]. Systems Engineering and Electronics, 2004, 26(9): 1323-1326. doi: 10.3321/j.issn:1001-506X.2004.09.046 [28] 李舜酩, 李香莲. 振动信号的现代分析技术与应用[M]. 北京: 国防工业出版社, 2008. [29] 胡爱军,孙敬敬,向玲. 经验模态分解中的模态混叠问题[J]. 振动测试与诊断,2011,31(4): 429-434,532.HU Aijun, SUN Jingjing, XIANG Ling. Mode mixing in empirical mode decomposition[J]. Journal of Vibration, Measurement & Diagnosis, 2011, 31(4): 429-434,532. [30] 张建民, 薛富春, 张雷, 等. 高速铁路路桥过渡段沉降机理及防护理论研究[R]. 北京: 清华大学, 2014. -
下载:
点击查看大图
计量
- 文章访问数: 496
- HTML全文浏览量: 208
- PDF下载量: 33
- 被引次数: 0