Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method

HE Xiao-long; CHEN Jie; E Shi-ju; TANG Da-yong; ZHANG Li-min

doi:10.19818/j.cnki.1671-1637.2021.06.026

Volume 21 Issue 6

Dec. 2021

Turn off MathJax

Article Contents

Article Navigation > Journal of Traffic and Transportation Engineering > 2021 > 21(6): 321-330

HE Xiao-long, CHEN Jie, E Shi-ju, TANG Da-yong, ZHANG Li-min. Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method[J]. Journal of Traffic and Transportation Engineering, 2021, 21(6): 321-330. doi: 10.19818/j.cnki.1671-1637.2021.06.026

Citation:

HE Xiao-long, CHEN Jie, E Shi-ju, TANG Da-yong, ZHANG Li-min. Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method[J]. Journal of Traffic and Transportation Engineering, 2021, 21(6): 321-330. doi: 10.19818/j.cnki.1671-1637.2021.06.026

Citation:

HE Xiao-long, CHEN Jie, E Shi-ju, TANG Da-yong, ZHANG Li-min. Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method[J]. Journal of Traffic and Transportation Engineering, 2021, 21(6): 321-330. doi: 10.19818/j.cnki.1671-1637.2021.06.026

PDF( 4420 KB)

Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method

doi: 10.19818/j.cnki.1671-1637.2021.06.026

HE Xiao-long^{1, 2
,},
CHEN Jie³,
E Shi-ju^{1
,
,},
TANG Da-yong²,
ZHANG Li-min⁴

1.
Key Laboratory of Urban Rail Transit Intelligent Operation and Maintenance Technology and Equipment of Zhejiang Province, Zhejiang Normal University, Jinhua 321005, Zhejiang, China
2.
School of Intelligent Manufacturing Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China
3.
School of Mechanical Engineering, Shandong University, Jinan 250061, Shandong, China
4.
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

Funds:

Open Project of Key Laboratory of Urban Rail Transit Intelligent Operation and Maintenance Technology and Equipment of Zhejiang Province ZSDRTKF2020004

Open Project of State Key Laboratory of Traction Power TPL2106

National Natural Science Foundation of China 52005068

China Postdoctoral Science Foundation 2021M692874

More Information

Author Bio:
HE Xiao-long(1989-), male, associate professor, PhD, hexiaolong_vip@163.com
Corresponding author: E Shi-ju(1976-), male, professor, PhD, eshiju@163.com
Received Date: 2021-06-02
Available Online: 2022-02-11
Publish Date: 2021-12-01

Abstract

Abstract

To improve the running comfort in high-speed trains and reduce the vibration of the equipment mounted under the car body, a vertical dynamics model was constructed for the vehicle-equipment system, and a frequency response function related to the vibration acceleration of vehicle system was derived. The root-mean-square of vibration acceleration of the equipment mounted under the car body was calculated using a function for the track irregularity excitation spectrum. The vertical running comfort indices were calculated for the car body reference points by applying a human comfort weighting filter function. The analytical target cascading (ATC) method was used to hierarchically decompose the vibration indices of vehicle-equipment system to construct a two-level index decomposition mathematical model for the vehicle-equipment system. An exponential penalty function strategy was used to coordinate the interlevel coupling problems in the vibration indices. A multi-objective optimization method was developed to maximize the running comfort of vehicle and minimize the vibration acceleration of equipment mounted under the car body, and an optimization model for the stiffness and damping of the equipment mounted under the car body was constructed. The efficacy of the ATC method for the parameters optimization in complex vehicle systems was investigated via a comparison with the design method of dynamic vibration absorber (DVA). Analysis results show that compared with the design method of DVA, during the operation at 300 km·h^-1, the optimization by the ATC method improves the running comfort at the vehicle center by 8.5% and decreases the equipment vibration level by approximately 20%. Over the full range of operating speeds, the vibration attenuation of ATC method is twice as that of DVA design method for the vehicle center, and 4.5 dB better for the equipment. Compared with the unoptimized state, the ATC method improves the running comfort at the vehicle center by a maximum of 15% and reduces the equipment vibration acceleration by 0.18 m·h^-2. Therefore, the ATC method can be used for the optimization design of structure parameters in complex railway vehicles to significantly reduce the vibration level in vehicle systems, and is also a guidance for the parameters optimization design of the equipment mounted under car body. 2 tabs, 10 figs, 30 refs.
- high-speed train,
- multi-objective optimization,
- analytical target cascading method,
- suspension parameter,
- comfort index,
- vibration index

FullText(HTML)

References(30)

References

[1]	DUMITRIU M. Numerical analysis on the influence of suspended equipment on the ride comfort in railway vehicles[J]. Archive of Mechanical Engineering, 2018, 65(4): 477-496.
[2]	TOMIOKA T, TAKIGAMI T, SUZUKI Y. Numerical analysis of three-dimensional flexural vibration of railway vehicle car body[J]. Vehicle System Dynamics, 2006, 44(S): 272-285.
[3]	XIA Zhang-hui, ZHOU Jin-song, LIANG Jian-ying, et al. Online detection and control of car body low-frequency swaying in railway vehicles[J]. Vehicle System Dynamics, 2021, 59(1): 70-100. doi: 10.1080/00423114.2019.1664751
[4]	曹辉, 张卫华, 缪炳荣. 车体弹性效应下的垂向振动特性研究[J]. 铁道学报, 2017, 39(6): 48-54. doi: 10.3969/j.issn.1001-8360.2017.06.006 CAO Hui, ZHANG Wei-hua, MIAO Bing-rong. Study on vertical vibration characteristics of car body under flexible effect[J]. Journal of the China Railway Society, 2017, 39(6): 48-54. (in Chinese) doi: 10.3969/j.issn.1001-8360.2017.06.006
[5]	向福腾, 阳光武. 悬挂设备隔振频率与刚度优化分析[J]. 机械设计与制造, 2017(12): 19-22. doi: 10.3969/j.issn.1001-3997.2017.12.005 XIANG Fu-teng, YANG Guang-wu. Suspension equipment vibration isolation frequency and stiffness optimization analysis[J]. Machinery Design and Manufacture, 2017(12): 19-22. (in Chinese) doi: 10.3969/j.issn.1001-3997.2017.12.005
[6]	于金朋, 宋青鹏, 张明远, 等. 高速列车牵引变压器振动响应容限有限元分析[J]. 交通运输工程学报, 2016, 16(5): 42-48. doi: 10.3969/j.issn.1671-1637.2016.05.005 YU Jin-peng, SONG Qing-peng, ZHANG Ming-yuan, et al. FEA of vibration response tolerance of traction transformer for high-speed train[J]. Journal of Traffic and Transportation Engineering, 2016, 16(5): 42-48. (in Chinese) doi: 10.3969/j.issn.1671-1637.2016.05.005
[7]	邓海, 宫岛, 周劲松, 等. 速列车车体下吊设备隔振设计及试验研究[J]. 城市轨道交通研究, 2015, 18(2): 44-48. https://www.cnki.com.cn/Article/CJFDTOTAL-GDJT201502012.htm DENG Hai, GONG Dao, ZHOU Jin-song, et al. On vibration isolation design and test of suspended equipment on high-speed railway vehicle[J]. Urban Mass Transit, 2015, 18(2): 44-48. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GDJT201502012.htm
[8]	GONG Dao, ZHOU Jin-song, SUN Wen-jing, et al. Method of multi-mode vibration control for the carbody of high-speed electric multiple unit trains[J]. Journal of Sound and Vibration, 2017, 409(24): 94-111.
[9]	GONG Dao, WANG Ze-gen, LIU Guang-yu, et al. A modal frequency optimization approach for a fully-equipped car body of high-speed trains[J]. Journal of Mechanical Science and Technology, 2020, 34(1): 11-21. doi: 10.1007/s12206-019-1202-4
[10]	吴会超, 邬平波, 曾京, 等. 车下设备对车体振动的影响[J]. 交通运输工程学报, 2012, 12(5): 50-56. doi: 10.3969/j.issn.1671-1637.2012.05.007 WU Hui-chao, WU Ping-bo, ZENG Jing, et al. Influence of equipment under car on carbody vibration[J]. Journal of Traffic and Transportation Engineering, 2012, 12(5): 50-56. (in Chinese) doi: 10.3969/j.issn.1671-1637.2012.05.007
[11]	GONG Dao, ZHOU Jin-song, SUN Wen-jing. On the resonant vibration of a flexible railway car body and its suppression with a dynamic vibration absorber[J]. Journal of Vibration and Control, 2013, 19(5): 649-657. doi: 10.1177/1077546312437435
[12]	石怀龙, 罗仁, 邬平波, 等. 基于动力吸振原理的动车组车下设备悬挂参数设计[J]. 机械工程学报, 2014, 50(14): 155-161. https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201414026.htm SHI Huai-long, LUO Ren, WU Ping-bo, et al. Suspension parameters designing of equipment for electric multiple units based on dynamic vibration absorber theory[J]. Journal of Mechanical Engineering, 2014, 50(14): 155-161. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201414026.htm
[13]	LUO Guang-bing, ZENG Jing, WANG Qun-sheng. Identifying the relationship between suspension parameters of underframe equipment and carbody modal frequency[J]. Journal of Modern Transportation, 2014, 22(4): 206-213. doi: 10.1007/s40534-014-0060-0
[14]	贺小龙, 张立民, 鲁连涛, 等. 基于几何滤波效应的高速列车牵引变压器悬挂参数设计[J]. 振动与冲击, 2019, 38(2): 259-264, 270. https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201902037.htm HE Xiao-long, ZHANG Li-min, LU Lian-tao, et al. Design of traction transformer of high speed train suspending parameter based on geometry filtering effect[J]. Journal of Vibration and Shock, 2019, 38(2): 259-264, 270. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201902037.htm
[15]	贺小龙, 张立民, 张富兵, 等. 高速列车牵引变压器悬挂参数动态优化设计[J]. 交通运输工程学报, 2018, 18(5): 100-110. doi: 10.3969/j.issn.1671-1637.2018.05.010 HE Xiao-long, ZHANG Li-min, ZHANG Fu-bing, et al. Dynamic optimization design of suspension parameters of traction transformer for high speed train[J]. Journal of Traffic and Transportation Engineering, 2018, 18(5): 100-110. (in Chinese) doi: 10.3969/j.issn.1671-1637.2018.05.010
[16]	WANG Qun-sheng, ZENG Jing, WEI Lai, et al. Carbody vibrations of high-speed train caused by dynamic unbalance of underframe suspended equipment[J]. Advances in Mechanical Engineering, 2018, 10(12): 1-13.
[17]	XIA Zhang-hui, GONG Dao, ZHOU Jin-song, et al. Decoupling optimization design of under-chassis equipment suspension system in high-speed trains[J]. Shock and Vibration, 2018, 2018: 1-12.
[18]	HUANG Cai-hong, ZENG Jing, LUO Guang-bing, et al. Numerical and experimental studies on the car body flexible vibration reduction due to the effect of car body-mounted equipment[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2018, 232(1): 103-120. doi: 10.1177/0954409716657372
[19]	孙煜, 周劲松, 宫岛, 等. 基于人体敏感频率的二自由度动力吸振器研究[J]. 铁道学报, 2019, 41(6): 46-52. doi: 10.3969/j.issn.1001-8360.2019.06.007 SUN Yu, ZHOU Jin-song, GONG Dao, et al. Study on two-dimensional dynamic vibration absorber based on human sensitive frequency[J]. Journal of the China Railway Society, 2019, 41(6): 46-52. (in Chinese) doi: 10.3969/j.issn.1001-8360.2019.06.007
[20]	SUN Yu, GONG Dao, ZHOU Jin-song, et al. Low frequency vibration control of railway vehicles based on a high static low dynamic stiffness dynamic vibration absorber[J]. Science China (Technological Sciences), 2019, 62(1): 60-69. doi: 10.1007/s11431-017-9300-5
[21]	朱涛, 雷成, 肖守讷, 等. 车下弹性吊挂设备悬挂刚度选取方法[J]. 交通运输工程学报, 2018, 18(5): 111-118. doi: 10.3969/j.issn.1671-1637.2018.05.011 ZHU Tao, LEI Cheng, XIAO Shou-ne, et al. Suspension stiffness selecting method of elastic suspension equipment under vehicle[J]. Journal of Traffic and Transportation Engineering, 2018, 18(5): 111-118. (in Chinese) doi: 10.3969/j.issn.1671-1637.2018.05.011
[22]	于金朋, 张卫华, 张立民, 等. 高速动车组车下悬挂设备隔振设计研究[J]. 铁道学报, 2017, 39(1): 33-40. doi: 10.3969/j.issn.1001-8360.2017.01.005 YU Jin-peng, ZHANG Wei-hua, ZHANG Li-min, et al. Research on vibration isolation design of suspension equipment for high-speed train[J]. Journal of the China Railway Society, 2017, 39(1): 33-40. (in Chinese) doi: 10.3969/j.issn.1001-8360.2017.01.005
[23]	郑晓龙, 徐昕宇, 陈列, 等. 中德高速铁路轨道谱在车桥耦合中的应用对比[J]. 铁道科学与工程学报, 2021, 18(5): 1090-1097. https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD202105003.htm ZHENG Xiao-long, XU Xin-yu, CHEN Lie, et al. Comparison of application of track spectrum of high speed railway between China and Germany in vehicle bridge coupling[J]. Journal of Railway Science and Engineering, 2021, 18(5): 1090-1097. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD202105003.htm
[24]	WANG Li-min, CHEN Chen. The comfort measurement of urban railway train based on UIC513 standard[C]//Scitepress— Science and Technology Publications. Proceedings of the 3rd International Conference on Microelectronic Control Technology and Transportation. Lisbon: Scitepress—Science and Technology Publications, 2018: 383-386.
[25]	CHAN K Y. A sequential linearization technique for analytical target cascading[C]//ASME. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. New York: ASME, 2008: 895-905.
[26]	ZHANG Xiao-ling, HUANG Hong-zhong, WANG Zhong-lai, et al. A Pareto set coordination method for analytical target cascading[J]. Concurrent Engineering: Research and Applications, 2013, 21(4): 286-295. doi: 10.1177/1063293X13499358
[27]	陈潇凯, 陈勇, 林逸. 目标分流法理论及其在汽车开发中的应用[J]. 北京理工大学学报, 2009, 29(6): 515-519. https://www.cnki.com.cn/Article/CJFDTOTAL-BJLG200906012.htm CHEN Xiao-kai, CHEN Yong, LIN Yi. Theory and application of analytical target cascading in automobile product development[J]. Transactions of Beijing Institute of Technology, 2009, 29(6): 515-519. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-BJLG200906012.htm
[28]	王健, 谢伟, 王涛, 等. 基于目标分流方法的船舶概念方案多学科设计优化[J]. 中国舰船研究, 2017, 12(5): 22-29. doi: 10.3969/j.issn.1673-3185.2017.05.003 WANG Jian, XIE Wei, WANG Tao, et al. Application of analytical target cascading method in multidisciplinary design optimization of ship conceptual design[J]. Chinese Journal of Ship Research, 2017, 12(5): 22-29. (in Chinese) doi: 10.3969/j.issn.1673-3185.2017.05.003
[29]	DORMOHAMMADI S, RAIS-ROHANI M. Exponential penalty function formulation for multilevel optimization using the analytical target cascading framework[J]. Structural and Multidisciplinary Optimization, 2013, 47(4): 599-612. doi: 10.1007/s00158-012-0861-x
[30]	KORT B W, BERTSEKAS D P. A new penalty function method for constrained minimization[C]//IEEE. Proceedings of the 1972 IEEE Conference on Decision and Control and 11th Symposium on Adaptive Processes. New York: IEEE, 1972: 162-166.

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF

XML

Article Metrics

Article views (662) PDF downloads(56)

Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method

doi: 10.19818/j.cnki.1671-1637.2021.06.026

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Optimization design on suspension parameters of equipment mounted under car body via analytical target cascading method

doi: 10.19818/j.cnki.1671-1637.2021.06.026

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Export File

Citation

Format

Content