Abstract
It is important to know the effect of the aerodynamic forces and moments on driving stability because it is responsible for the excitation and influences the response of the vehicle. The purpose of this paper is to study the effect of rear slant angle of a surface vehicle on crosswind sensitivity for stability analysis. The vehicle mathematical model used to conduct a dynamic simulation was based on a simple reduced order lateral dynamics of sideslip and yaw rate motion coupled with aerodynamics model. The intention here is to compare the effect of rear slant angles response to crosswind and to rank the crosswind sensitivity ratings. The aerodynamic loads are defined as the function of the aerodynamic derivatives from the static wind tunnel tests. Result shows a 20° rear slant angle demonstrates the highest rating of crosswind sensitivity, while zero degree slant exhibits the least.
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Abbreviations
- A :
-
model frontal area m2
- Cy β :
-
aerodynamic side force derivative rad−1
- Cy r :
-
aerodynamic side force damping derivative rad−1
- Cn β :
-
aerodynamic yaw moment derivative rad−1
- Cn r :
-
aerodynamic yaw damping derivative rad−1
- Cy :
-
aerodynamic side force coefficient
- I zz :
-
yaw inertia kg.m2
- Krf :
-
front wheel cornering stiffness N.rad−1
- Krr :
-
rear wheel cornering stiffness N.rad−1
- l :
-
reference length m
- lwb :
-
wheel base length m
- lf :
-
distance between front axle to cg m
- lr :
-
distance between rear axle to cg m
- N β :
-
aerodynamic yaw moment stiffness Nm.rad−1
- N βC :
-
chassis yaw moment stiffness Nm.rad−1
- N a :
-
aerodynamic yaw moment Nm
- N r :
-
aerodynamic yaw moment damping Nms.rad−1
- N rc :
-
chassis yaw moment damping Nms.rad−1
- N δc :
-
steering yaw moment stiffness Nm.rad−1
- r :
-
yaw rate rad s−1
- r max :
-
maximum yaw rate rad s−1
- r (t=1s) :
-
yaw rate after 1 second rad s−1
- u, v, w :
-
forward, lateral and vertical speed m.s−1
- V :
-
wind tunnel velocity m.s−1
- V w :
-
crosswind velocity m.s−1
- Y β :
-
aerodynamic side force stiffness N.rad−1
- Y βC :
-
chassis side force stiffness N.rad−1
- Y r :
-
aerodynamic side force damping Ns.rad−1
- Y rc :
-
chassis side force damping Ns.rad−1
- Y δc :
-
steering side force stiffness N.rad−1
- δ :
-
wheel steering angle deg
- β :
-
model yaw angle deg
- \({}^ \cdot \beta\) :
-
model yaw velocity deg.s−1
- β w :
-
crosswind yaw angle deg
- ρ :
-
air density kg.m−3
- ψ:
-
crosswind angle w. r. t vehicle forward speed deg
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Mansor, S., Passmore, M.A. Effect of rear slant angle on vehicle crosswind stability simulation on a simplified car model. Int.J Automot. Technol. 14, 701–706 (2013). https://doi.org/10.1007/s12239-013-0076-1
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DOI: https://doi.org/10.1007/s12239-013-0076-1