NDLI: Derivation and validation of nonlinear governing equations for an analysis of vehicle handling

Content Provider	Springer Nature Link
Author	Yang, S. M. Kim, J. H.
Copyright Year	2011
Abstract	Nonlinear governing equations used to analyze the handling of a ground vehicle are derived from the Lagrange equations of motion. The derived equations are coded using VBA (Visual Basic for Applications) embedded in Microsoft’s Excel Software and simulated in the time domain using the 4th-order Runge-Kutta method. A total of six degrees of freedom are used in the equations; three of these are the directional translation, lateral translation, and yaw of a platform (unsprung) on the base of an inertial ground coordinate, and the other three are the roll, pitch, and yaw of a body (sprung) by a platform-fixed coordinate. Four driving torques and four wheel angles of all tires are used as input control parameters. A simplified Calspan tire model is adopted for the generalized forces of the equations. This is a combined model that can be used to obtain tractional (or braking) and side forces using the inputs of the directional and side-slip ratios and the vertical force. The VBA code realized in this study is validated by comparisons with trimmed equilibrium results and the test data cited in published papers. The major characteristics of this study are: (1) the coordinate systems of the equations are mixed with the inertial frame and the platform-fixed frame, and, as a result, almost all types of driving conditions with long mileages can be simulated; (2) vertical movement is eliminated due the focus on the handling analysis; (3) the body-yaw degree of freedom is separated from the platform-yaw degree of freedom; and (4) the programming is performed by VBA, which is rarely used in the vehicle dynamics field.
Starting Page	561
Ending Page	570
Page Count	10
File Format	PDF
ISSN	12299138
Journal	International Journal of Automotive Technology
Volume Number	12
Issue Number	4
e-ISSN	19763832
Language	English
Publisher	The Korean Society of Automotive Engineers
Publisher Date	2011-07-07
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ground vehicle handling Derivation and validation Nonlinear governing equation Lagrange equation Simplified Calspan tire model Visual basic for applications Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Automotive Engineering

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