Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body

Based on the Lagrange equation, a 9-degrees-of-freedom shimmy model with consideration of the coupling effects between the motions of vehicle body and the shimmy of front wheels and a 5-degrees-of-freedom shimmy model ignoring these coupling effects for a vehicle with double-wishbone independent fro...

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Main Authors: Xiaogao Li, Ning Zhang, Xianjian Jin, Nan Chen
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/3707416
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author Xiaogao Li
Ning Zhang
Xianjian Jin
Nan Chen
author_facet Xiaogao Li
Ning Zhang
Xianjian Jin
Nan Chen
author_sort Xiaogao Li
collection DOAJ
description Based on the Lagrange equation, a 9-degrees-of-freedom shimmy model with consideration of the coupling effects between the motions of vehicle body and the shimmy of front wheels and a 5-degrees-of-freedom shimmy model ignoring these coupling effects for a vehicle with double-wishbone independent front suspensions are presented here to study the problem of vehicle shimmy. According to the eigenvalue loci of system’s Jacobian matrix plotted on the complex plane, the Hopf bifurcation characteristics of nonlinear shimmy are studied and the conditions for the generation of limit cycle are analyzed. Numerical calculation and simulation are used to study the dynamic behavior of vehicle shimmy. By comparing the dynamic responses of two different shimmy models, the coupling effects of vehicle body on vehicle shimmy are studied. Finally, the relationship between the amplitude of each DoF and vehicle velocity and the influences of vehicle parameters such as the mass of vehicle body, the longitudinal position of the center of gravity of vehicle body, and the inclination angle of front suspension on shimmy are studied.
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institution Kabale University
issn 1070-9622
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publishDate 2019-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-5abd7ea398a8467aae9305ceca3741172025-02-03T06:08:37ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/37074163707416Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle BodyXiaogao Li0Ning Zhang1Xianjian Jin2Nan Chen3School of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaBased on the Lagrange equation, a 9-degrees-of-freedom shimmy model with consideration of the coupling effects between the motions of vehicle body and the shimmy of front wheels and a 5-degrees-of-freedom shimmy model ignoring these coupling effects for a vehicle with double-wishbone independent front suspensions are presented here to study the problem of vehicle shimmy. According to the eigenvalue loci of system’s Jacobian matrix plotted on the complex plane, the Hopf bifurcation characteristics of nonlinear shimmy are studied and the conditions for the generation of limit cycle are analyzed. Numerical calculation and simulation are used to study the dynamic behavior of vehicle shimmy. By comparing the dynamic responses of two different shimmy models, the coupling effects of vehicle body on vehicle shimmy are studied. Finally, the relationship between the amplitude of each DoF and vehicle velocity and the influences of vehicle parameters such as the mass of vehicle body, the longitudinal position of the center of gravity of vehicle body, and the inclination angle of front suspension on shimmy are studied.http://dx.doi.org/10.1155/2019/3707416
spellingShingle Xiaogao Li
Ning Zhang
Xianjian Jin
Nan Chen
Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
Shock and Vibration
title Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
title_full Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
title_fullStr Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
title_full_unstemmed Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
title_short Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body
title_sort modeling and analysis of vehicle shimmy with consideration of the coupling effects of vehicle body
url http://dx.doi.org/10.1155/2019/3707416
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AT nanchen modelingandanalysisofvehicleshimmywithconsiderationofthecouplingeffectsofvehiclebody