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Dimensional Analysis of Ground Vehicle in Extreme Maneuver Scenarios

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Abstract

This research proposes a parameter scaling method for dimensional analysis in extreme maneuver scenarios. Scaled vehicle experiments using dimensional analysis offer advantages in terms of test location, driver safety, and cost savings. Previous studies have overlooked the nonlinear effects of tires in dimensional analysis. Two methods are presented: scaling the frictional coefficient between tires and surfaces and virtual scaling of gravitational acceleration through time scaling. The methods were validated using a 1/8 scaled vehicle and the CarSim software program. This research establishes a practical and valid approach to parameter scaling in vehicle dynamics, considering tire nonlinearity and accommodating extreme maneuvers.

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Data sharing is not applicable to this study as no new datasets were created or analyzed.

Abbreviations

F x :

Longitudinal force, N

F y :

Lateral force, N

F z :

Vertical force, N

M x :

Roll moment, N·m

M y :

Pitch moment, N·m

M z :

Yaw moment, N·m

u :

Longitudinal velocity, m/s

v :

Lateral velocity, m/s

w :

Vertical velocity, m/s

p :

Roll rate, rad/s

q :

Pitch rate, rad/s

r :

Yaw rate, rad/s

I xx :

Roll moment of inertia, kg·m2

I yy :

Pitch moment of inertia, kg·m2

I zz :

Yaw moment of inertia, kg·m2

I xy :

Product of inertia about roll and pitch, kg·m2

I xz :

Product of inertia about roll and yaw, kg·m2

I yz :

Product of inertia about pitch and yaw, kg·m2

m :

Vehicle mass, kg

Ω :

Angular velocity of the wheel, rad/s

R :

Effective radius of the wheel, m

m i :

Equivalent mass over the ith tire, kg

g :

Gravitational acceleration, m/s2

g s :

Gravitational acceleration in the scaled environment, m/s2

μ :

Friction coefficient between the tire and the surface, –

c p :

Stiffness of the tire tread, N/m2

a :

Half length of the contact patch, m

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Acknowledgements

This research was supported by the National Research Foundation of Korea funded by the Ministry of Science and ICT (no. NRF-2022R1A2C1004894)

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  1. School of Mechanical Engineering, Pusan National University, Busan, 46241, Korea

    Yeayoung Park & Changsun Ahn

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  1. Yeayoung Park
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Correspondence to Changsun Ahn.

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Park, Y., Ahn, C. Dimensional Analysis of Ground Vehicle in Extreme Maneuver Scenarios. Int.J Automot. Technol. (2024). https://doi.org/10.1007/s12239-024-00067-x

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