Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles

YU, Yuewei  ;SONG, Yunpeng ;ZHAO, Leilei ;ZHOU, Changcheng .
Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 69, n.1-2, p. 73-81, december 2022. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/>. Date accessed: 20 apr. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2022.375.

Yu, Y., Song, Y., Zhao, L., & Zhou, C.
(2023).
Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles.
Strojniški vestnik - Journal of Mechanical Engineering, 69(1-2), 73-81.
doi:http://dx.doi.org/10.5545/sv-jme.2022.375

@article{sv-jmesv-jme.2022.375,
	author = {Yuewei   Yu and Yunpeng  Song and Leilei  Zhao and Changcheng  Zhou},
	title = {Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {69},
	number = {1-2},
	year = {2023},
	keywords = {railway vehicle; vertical dynamic response; model deduction; damping parameter design; optimal compromise; },
	abstract = {To effectively improve the estimated level of railway vehicles’ vertical dynamic responses and provide a more suitable reference for the selection of its secondary suspension damping parameter, this paper has derived the root mean square values analytical formulae of the car body vertical acceleration, the secondary suspension vertical stroke, and the axle box vertical action force for railway vehicles under the random excitation of the track closer to the actual track characteristics. The correctness of the analytical formulae is verified by testing a real vehicle. Then, according to the analytical formulae derived, an analytical design method of the optimal damping ratio for the secondary suspension system is constructed based on the multi-objective programming and single-objective interval constraint analysis, which can be used to find the best trade-off for conflicting performance indices, such as ride comfort, running smoothness, and running safety, and the influences of the system parameters on the optimal damping ratio are analysed. This research can effectively characterize the vertical vibration response of railway vehicles and provide an effective reference for the initial design of the railway vehicle secondary suspension damping parameter.},
	issn = {0039-2480},	pages = {73-81},	doi = {10.5545/sv-jme.2022.375},
	url = {https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/}
}

Yu, Y.,Song, Y.,Zhao, L.,Zhou, C.
2023 December 69. Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 69:1-2

%A Yu, Yuewei  
%A Song, Yunpeng 
%A Zhao, Leilei 
%A Zhou, Changcheng 
%D 2023
%T Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles
%B 2023
%9 railway vehicle; vertical dynamic response; model deduction; damping parameter design; optimal compromise; 
%! Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles
%K railway vehicle; vertical dynamic response; model deduction; damping parameter design; optimal compromise; 
%X To effectively improve the estimated level of railway vehicles’ vertical dynamic responses and provide a more suitable reference for the selection of its secondary suspension damping parameter, this paper has derived the root mean square values analytical formulae of the car body vertical acceleration, the secondary suspension vertical stroke, and the axle box vertical action force for railway vehicles under the random excitation of the track closer to the actual track characteristics. The correctness of the analytical formulae is verified by testing a real vehicle. Then, according to the analytical formulae derived, an analytical design method of the optimal damping ratio for the secondary suspension system is constructed based on the multi-objective programming and single-objective interval constraint analysis, which can be used to find the best trade-off for conflicting performance indices, such as ride comfort, running smoothness, and running safety, and the influences of the system parameters on the optimal damping ratio are analysed. This research can effectively characterize the vertical vibration response of railway vehicles and provide an effective reference for the initial design of the railway vehicle secondary suspension damping parameter.
%U https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/
%0 Journal Article
%R 10.5545/sv-jme.2022.375
%& 73
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 69
%N 1-2
%@ 0039-2480
%8 2022-12-27
%7 2022-12-27

Yu, Yuewei , Yunpeng  Song, Leilei  Zhao, & Changcheng  Zhou.
"Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles." Strojniški vestnik - Journal of Mechanical Engineering [Online], 69.1-2 (2023): 73-81. Web.  20 Apr. 2024

TY  - JOUR
AU  - Yu, Yuewei  
AU  - Song, Yunpeng 
AU  - Zhao, Leilei 
AU  - Zhou, Changcheng 
PY  - 2023
TI  - Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.375
KW  - railway vehicle; vertical dynamic response; model deduction; damping parameter design; optimal compromise; 
N2  - To effectively improve the estimated level of railway vehicles’ vertical dynamic responses and provide a more suitable reference for the selection of its secondary suspension damping parameter, this paper has derived the root mean square values analytical formulae of the car body vertical acceleration, the secondary suspension vertical stroke, and the axle box vertical action force for railway vehicles under the random excitation of the track closer to the actual track characteristics. The correctness of the analytical formulae is verified by testing a real vehicle. Then, according to the analytical formulae derived, an analytical design method of the optimal damping ratio for the secondary suspension system is constructed based on the multi-objective programming and single-objective interval constraint analysis, which can be used to find the best trade-off for conflicting performance indices, such as ride comfort, running smoothness, and running safety, and the influences of the system parameters on the optimal damping ratio are analysed. This research can effectively characterize the vertical vibration response of railway vehicles and provide an effective reference for the initial design of the railway vehicle secondary suspension damping parameter.
UR  - https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/

@article{{sv-jme}{sv-jme.2022.375},
	author = {Yu, Y., Song, Y., Zhao, L., Zhou, C.},
	title = {Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {69},
	number = {1-2},
	year = {2023},
	doi = {10.5545/sv-jme.2022.375},
	url = {https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/}
}

TY  - JOUR
AU  - Yu, Yuewei  
AU  - Song, Yunpeng 
AU  - Zhao, Leilei 
AU  - Zhou, Changcheng 
PY  - 2022/12/27
TI  - Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 69, No 1-2 (2023): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.375
KW  - railway vehicle, vertical dynamic response, model deduction, damping parameter design, optimal compromise, 
N2  - To effectively improve the estimated level of railway vehicles’ vertical dynamic responses and provide a more suitable reference for the selection of its secondary suspension damping parameter, this paper has derived the root mean square values analytical formulae of the car body vertical acceleration, the secondary suspension vertical stroke, and the axle box vertical action force for railway vehicles under the random excitation of the track closer to the actual track characteristics. The correctness of the analytical formulae is verified by testing a real vehicle. Then, according to the analytical formulae derived, an analytical design method of the optimal damping ratio for the secondary suspension system is constructed based on the multi-objective programming and single-objective interval constraint analysis, which can be used to find the best trade-off for conflicting performance indices, such as ride comfort, running smoothness, and running safety, and the influences of the system parameters on the optimal damping ratio are analysed. This research can effectively characterize the vertical vibration response of railway vehicles and provide an effective reference for the initial design of the railway vehicle secondary suspension damping parameter.
UR  - https://www.sv-jme.eu/article/analytical-formulae-and-application-of-vertical-dynamic-response-for-railway-vehicles/

Yu, Yuewei , Song, Yunpeng, Zhao, Leilei, AND Zhou, Changcheng.
"Analytical Formulae and Applications of Vertical Dynamic Responses for Railway Vehicles" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 69 Number 1-2 (27 December 2022)