-
摘要: 为了分析路面与车辆的相互作用, 提出了四自由度1/2车辆模型相对于不平整路面耦合振动分析方法。根据GB/T7031-1986建议的公路路面功率谱密度的拟合表达式, 在分析了运行汽车固有振动频率和行驶速度的影响后, 获得分布在一定频率范围内的离散功率谱密度数据, 利用离散傅立叶逆变换得到路面不平度值, 并以此作为1/2车辆垂向动力学模型的输入激励, 通过数值仿真得到运行车辆系统在不同路面不平整度下的时域响应。分析结果表明: 车辆动荷载系数随车速增大呈线性增加, 随路面等级变差呈非线性增大, 路面等级是影响车辆动力作用的最显著因素。Abstract: In order to analyze the interaction of pavement and vehicle, an analysis method of couple vibration between 1/2-four-degree vehicle model and rough pavement was proposed.According to the power spectral density function advised by GB/T 7031-1986, the effect of the vehicle natural vibration frequency and velocity was studied, the discrete data of power spectral density within definite frequency range were obtained, the value of pavement roughness was obtained by Fourier reverse transform. The samples were taken as the input disturbances of a 1/2 vehicle vertical dynamics model, and the time-domain response of vehicle system caused by pavement roughness was obtained by numerical simulation. Analysis result shows that the value of dynamic load coefficient increases linearly along with the increase of vehicle velocity, but non-linearly along with the grade increase of pavement roughness, and the grade of pavement roughness is most marked factor of vehicle dynamic effect.
-
表 1 路面不平度系数
Table 1. Coefficients of pavement roughness
路面等级 路面不平度系数/[10-6m2·(m-1)-1] 下限 几何平均值 上限 A 8 16 32 B 32 64 128 C 128 256 512 D 512 1 024 2 048 E 2 048 4 096 8 192 F 8 192 16 384 32 768 G 32 768 65 536 131 072 H 131 072 262 144 524 288 -
[1] 张洪亮, 胡长顺, 许伟清. 移动荷载作用下柔性路面的动力响应[J]. 长安大学学报: 自然科学版, 2005, 25(5): 6-10. doi: 10.3321/j.issn:1671-8879.2005.05.002Zhang Hong-liang, Hu Chang-shun, Xu Wei-qing. Dynamic response of flexible pavement under movingload[J]. Journal of Chang an University: Natural Science Edition, 2005, 25(5): 6-10. (in Chinese) doi: 10.3321/j.issn:1671-8879.2005.05.002 [2] 张永清, 贾双盈. 高等级公路沥青路面性能评价方法[J]. 长安大学学报: 自然科学版, 2005, 25(2): 11-15. doi: 10.3321/j.issn:1671-8879.2005.02.003Zhang Yong-qing, Jia Shuang-ying. Evaluation method for asphalt pavement performance of freeway[J]. Journal of Chang an University: Natural Science Edition, 2005, 25(2): 11-15. (in Chinese) doi: 10.3321/j.issn:1671-8879.2005.02.003 [3] 曹源文, 梁乃兴, 徐建平. 行车动荷载作用下路面平整度的预估[J]. 长安大学学报: 自然科学版, 2004, 24(4): 22-25. doi: 10.3321/j.issn:1671-8879.2004.04.006Cao Yuan-wen, Liang Nai-xing, Xu Jian-ping. Calculation of pavement evenness under dynamic load of moving vehicle[J]. Journal of Chang an University: Natural Science Edition, 2004, 24(4): 22-25. (in Chinese) doi: 10.3321/j.issn:1671-8879.2004.04.006 [4] 葛剑敏, 郑联珠. 路面特性对车辆振动影响规律研究[J]. 中国公路学报, 2004, 17(3): 117-121. doi: 10.3321/j.issn:1001-7372.2004.03.024Ge Jian-min, Zheng Lian-zhu. Effects of terrain characteristic on vehicle vibration[J]. China Journal of Highway and Transport, 2004, 17(3): 117-121. (in Chinese) doi: 10.3321/j.issn:1001-7372.2004.03.024 [5] 胡小弟, 孙立军. 沥青路面结构在非均布荷载作用下的三维有限元分析[J]. 长安大学学报: 自然科学版, 2003, 23(3): 15-20. doi: 10.3321/j.issn:1671-8879.2003.03.004Hu Xiao-di, Sun Li-jun. Analysis of asphalt pavement structure under non-uniform distributed tire pressure with 3D finite element method[J]. Journal of Chang an University: Natural Science Edition, 2003, 23(3): 15-20. (in Chinese) doi: 10.3321/j.issn:1671-8879.2003.03.004 [6] 郝大力, 王秉纲. 路面结构动力响应仿真与参数分析研究[J]. 中国公路学报, 2001, 14(4): 1-4. doi: 10.3321/j.issn:1001-7372.2001.04.001Hao Da-li, Wang Bing-gang. Simulation and parametrical analysis on dynamic response of pavement structures[J]. China Journal of Highway and Transport, 2001, 14(4): 1-4. (in Chinese) doi: 10.3321/j.issn:1001-7372.2001.04.001 [7] 郝大力, 王秉纲. 路面结构动力响应分析[J]. 长安大学学报: 自然科学版, 2002, 22(3): 9-12. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200203002.htmHao Da-li, Wang Bing-gang. Dynamic response of pavement structure[J]. Journal of Chang an University: Natural Science Edition, 2002, 22(3): 9-12. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200203002.htm [8] 王新明, 王秉纲. 高速公路路面功率谱[J]. 交通运输工程学报, 2003, 3(2): 53-56. doi: 10.3321/j.issn:1671-1637.2003.02.012Wang Xin-ming, Wang Bing-gang. Expressway pavement power spectral density[J]. Journal of Traffic and Transportation Engineering, 2003, 3(2): 53-56. (in Chinese) doi: 10.3321/j.issn:1671-1637.2003.02.012 [9] 陶向华, 黄晓明. 人-车-路相互作用三质量车辆模型分析[J]. 交通运输工程学报, 2004, 4(3): 11-15. doi: 10.3321/j.issn:1671-1637.2004.03.004Tao Xiang-hua, Huang Xiao-ming. Three-mass vehicle model of people-vehicle-roadinteraction[J]. Journal of Traffic and Transportation Engineering, 2004, 4(3): 11-15. (in Chinese) doi: 10.3321/j.issn:1671-1637.2004.03.004 [10] 刘献栋, 邓志党, 高峰. 基于逆变换的路面不平度仿真研究[J]. 中国公路学报, 2005, 18(1): 122-126. doi: 10.3321/j.issn:1001-7372.2005.01.025Liu Xian-dong, Deng Zhi-dang, Gao Feng. Study of simulation of road roughness based on inverse transfom[J]. China Journal of Highway and Transport, 2005, 18(1): 122-126. (in Chinese) doi: 10.3321/j.issn:1001-7372.2005.01.025 [11] 刘献栋, 邓志党, 高峰. 公路路面不平度的数值模拟方法研究[J]. 北京航空航天大学学报, 2003, 29(9): 843-846. doi: 10.3969/j.issn.1001-5965.2003.09.021Liu Xian-dong, Deng Zhi-dang, Gao Feng. Research on the method of simulating road roughness numerically[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(9): 843-846. (in Chinese) doi: 10.3969/j.issn.1001-5965.2003.09.021 [12] GB/T7031-1986, 车辆振动输入与路面平度表示方法[S]. [13] 刘寅华, 李芾, 黄运华. 轨道不平顺数值模拟方法[J]. 交通运输工程学报, 2006, 6(1): 29-33. doi: 10.3321/j.issn:1671-1637.2006.01.006Liu Yin-hua, Li Fu, Huang Yun-hua. Numerical simulation methods of rail way trackirregularities[J]. Journal of Traffic and Transportation Engineering, 2006, 6(1): 29-33. (in Chinese) doi: 10.3321/j.issn:1671-1637.2006.01.006 [14] 王开云, 翟婉明, 蔡成标. 左右轨道不平顺功率谱转换中心线功率谱的方法[J]. 交通运输工程学报, 2002, 2(3): 27-29. doi: 10.3321/j.issn:1671-1637.2002.03.006Wang Kai-yun, Zhai Wan-ming, Cai Cheng-biao. Method of equivalency transformfor power spectrumdensity of trackirregularity on central line fromonleft/right rail[J]. Journal of Traffic and Transportation Engineering, 2002, 2(3): 27-29. (in Chinese) doi: 10.3321/j.issn:1671-1637.2002.03.006 [15] 余志生. 汽车理论[M]. 第三版. 北京: 机械工业出版社, 2002. [16] 曾庆元. 弹性系统动力学总势能不变值原理[J]. 华中理工大学学报, 2000, 28(1): 1-3. https://www.cnki.com.cn/Article/CJFDTOTAL-HZLG200001000.htmZeng Qing-yuan. The conservation law of total dynamic potential energy in elastici system[J]. Journal of Huazhong University of Science and Technology, 2000, 28(1): 1-3. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HZLG200001000.htm [17] 夏禾. 车辆与结构动力相互作用[M]. 北京: 科学出版社, 2002. [18] 翟婉明. 车辆-轨道耦合动力学[M]. 北京: 中国铁道出版社, 2001. [19] Sun Lu, Deng Xue-jun. Predicting vertical dynamic loads caused by vehicle-pavement interaction[J]. Journal of Transportation Engineering, 1998, 124(5): 470-478.