-
摘要: 为方便、快速地分析多点输入轨道车辆的平稳性, 基于虚拟激励原理, 提出了平稳性分析方法。当车辆系统受多点全相关随机激励时, 应用此方法将多输入多输出系统的响应功率谱矩阵的计算化简为两个矢量相乘, 利用所获得的功率谱和随机振动中的反演技术, 分析轨道车辆的平稳性指标。以TR08磁浮车辆为原型, 建立了磁浮车辆的垂向动力学模型, 运用虚拟激励分析方法计算了磁浮车辆的响应功率谱。在频域中, 磁浮车辆车体中心处的Sperling指标为1.653, 车辆的平稳性等级为优, 通过反演运算获得了响应的幅值谱和时间历程, 分析过程简单, 计算结果准确。Abstract: In order to facilitate the riding quality analysis of multi-input tracked vehicle, a new analysis method was proposed based on pseudo-excitation algorithm. When vehicle system was subjected to multi-point coherent excitations, the method simplified the calculation of response PSD matrix for a MIMO(multi-input and multi-output) system into the product of two vectors, and with response PSD matrix and inverse analysis technique, the riding index of tracked vehicle can be obtained quickly. A vertical dynamics model of maglev vehicle was built based on TR08 vehicle, and its response spectrums were analyzed with the method. The Sperling index is 1.653 at the center of car body in frequency domain, the rank of riding quality is fine, the amplitude spectrum and time history of the response can be obtained by using inverse analysis technique, and the analysis procedure is convenient and fast, so the method is feasible.
-
Key words:
- vehicle engineering /
- maglev vehicle /
- riding quality /
- pseudo-excitation analysis method
-
[1] 林家浩, 钟万勰, 张亚辉. 大跨度结构抗震计算的随机振动方法[J]. 建筑结构学报, 2000, 21(1): 29-36. https://www.cnki.com.cn/Article/CJFDTOTAL-JZJB200001005.htmLin Jia-hao, Zhong Wan-xie, Zhang Ya-hui. Seismic analysis of long span structures by means of random vibration approach[J]. Journal of Building Structures, 2000, 21(1): 29-36. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JZJB200001005.htm [2] Lin Jia-hao, Zhang Wen-shou, Li Jian-jun. Structural responses to arbitrarily coherent stationary random excitations[J]. Computers and Structures, 1994, 50(2): 629-633. [3] Kiureghian A D, Neuenhofer A. Response spectrum method for multi-support seismic exitations[J]. Earthquake Engineering and Structure Dynamics, 1992, 21(8): 713-740. doi: 10.1002/eqe.4290210805 [4] Erneslo H Z, Vanmarche E H. Seismic random vibration analysis of multi-support structural system[J]. Journal of Engineering Mechanics, 1994, 120(5): 1 107-1 128. doi: 10.1061/(ASCE)0733-9399(1994)120:5(1107) [5] Zhao Chun-fa, Zhai Wan-ming, Maglev vehicle/guideway vertical random response and ride quality[J]. Vehicle System Dynamics, 2002, 38(3): 185-210. doi: 10.1076/vesd.38.3.185.8289 [6] 周劲松, 任利惠, 杨国桢, 等. 铰接式高速列车运行平稳性[J]. 交通运输工程学报, 2003, 3(3): 54-58. doi: 10.3321/j.issn:1671-1637.2003.03.012Zhou Jin-song, Ren Li-hui, Yang Guo-zhen, et al. Ride quality of articulated high speed train[J]. Journal of Traffic and Transportation Engineering, 2003, 3(3): 54-58. (in Chinese) doi: 10.3321/j.issn:1671-1637.2003.03.012 [7] 郝建华, 曾京, 邬平波. 铁道客车垂向随机减振及悬挂参数优化[J]. 铁道学报, 2006, 28(6): 35-40. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB200606006.htmHao Jian-hua, Zeng Jing, Wu Ping-bo. Optimization of vertical random vibration isolation and suspension parameters of railway passenger car systems[J]. Journal of the China Railway Society, 2006, 28(6): 35-40. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB200606006.htm [8] 周劲松. 高速列车平稳性及其控制研究[D]. 上海: 上海交通大学, 2003. [9] Shen Gang, Ren Li-hui, Zhou Jin-song. Modeling of high speed meglev train for optimization of suspension parameters[C]//Southwest Jiaotong University. Proceeding of International Symposium on Speed-up and Service Technology for Railway and Maglev Systems. Chengdu: Southwest Jiaotong University Press, 2006: 297-301. [10] 翟婉明, 赵春发. 磁浮车辆/轨道系统动力学(Ⅰ)———磁/轨相互作用及稳定性[J]. 机械工程学报, 2005, 41(7): 1-10. https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB200507001.htmZhai Wan-ming, Zhao Chun-fa. Dynamics of maglev vehicle/guideway system(Ⅰ)— magnet/rail interaction and system stability[J]. Chinese Journal of Mechanical Engineering, 2005, 41(7): 1-10. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB200507001.htm [11] 张洪. 基于运行模态识别的铁路客车动力学特性研究[D]. 上海: 同济大学, 2005.