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The state sensitivity analysis of the front wheel steering vehicle: In the time domain

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Abstract

In this paper, a sensitivity analysis of a front wheel steering vehicle in the time domain is considered. For this study, a two degree-of-freedom bicycle model is used. This model displays the simplest lateral dynamic effect and is useful for understanding of the dynamic characteristics and control aspects of the target system. The side slip angle and yaw rate are selected as the system state variables. Vehicle mass, inertia, cornering stiffness, and wheel base are taken as design variables. Sensitivity analyses are performed by the direct differentiation method, which is an efficient tool for error control in numerical integration. This research proposes a basis for re-design and new-design of a vehicle by checking variations in the state variable with respect to changes in the design variable. Finally, dominant design variables are suggested through simulations.

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Abbreviations

m :

Vehicle mass

I :

Moment of inertia of the vehicle in yaw direction

V :

Vehicle speed

K f :

Cornering stiffness of the front wheel

K r :

Cornering stiffness of the rear wheel

l f :

Distance from c.g. to front wheel center

l r :

Distance from c.g. to rear wheel center

δf :

Front wheel steering angle

References

  1. Arora, J. S., 1989,Introduction to Optimum Design, McGraw-Hill International Editions.

  2. Chang, C. O. and Nikravesh, P. E., 1985, “Optimal Design of Mechanical Systems with Constraint Violation Stabilization Method,”Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 107, pp. 493–498.

  3. Deif, A. S., 1986,Sensitivity Analysis in Linear Systems, Springer-Verlag, Berlin, Heidelberg.

  4. Ellis, J. R., 1969,Vehicle Dynamics, London Business Book Ltd., London.

  5. Gillespie, T. D., 1992,Fundamentals of Vehicle Dynamics, Society of Automotive Engineers, Inc.

  6. Haug, E. J., Mani, N. K., and Krishnaswami, P., 1984, “Design Sensitivity Analysis and Optimization of Dynamically Driven Systems,”Computer Aided Analysis and Optimization of Mechanical System Dynamics, NATO ASI Series F: Computer and Systems Sciences, Vol. 9, pp. 555–636.

  7. Haug, E. J. and Sohoni, V. N., 1984, “Design Sensitivity Analysis and Optimization of Kinematically Driven Systems,”Computer Aided Analysis and Optimization of Mechanical System Dynamics, NATO ASI Series F: Computer and Systems Sciences, Vol. 9, pp. 499–554.

  8. Jang, J. H., 1995,Note for Vehicle Dynamics and Control, Ed. 1, in Korean.

  9. Jang, J. H., Jeong, W. S., and Han, C. S., 1995, “Modeling and Dynamic Analysis for Four Wheel Steering Vehicle,”Korea Society of Automotive Engineers, SAE No. 953737.

  10. Jang, J. H. and Han, C. S., 1997a, “The Sensitivity Analysis of Yaw Rate for a Front Wheel Steering Vchicle: In the Frequency Domain,”KSME International Journal, Vol. 11, No. 1, pp. 56–66.

  11. Jang, J. H. and Han, C. S., 1997b, “The Sensitivity Analysis of Side Slip Angle for a Front Wheel Steering Vehicle: a Frequency Domain Approach,”KSME International Journal, Vol. 11, No.4., pp. 367–378.

  12. Jansen, S. T. H. and van Oosten, J. J. M., 1994, “The Development and Evaluation of an Active 4WS Vehicle Simulation Model with Limited Complexity using Driving Tests,” AVEC '94. 9438664, pp. 438–443.

  13. Krishnaswami, P., Wehage, R. A., and Haug, E. J., 1983,Design Sensitivity Analysis of Constrained Dynamic Systems by Direct Differentiation, Technical Report No. 83-5, Center for Computer Aided Design, The University of Iowa.

  14. Shiotsuka, T., Nagamatsu, A. and Yoshida, K., 1993, “Adaptive Control of 4WS System by Using Neural Network,”International Journal of Vehicle Mechanics and Mobility, Vehicle System Dynamics, Vol. 22, No. 5–6, pp. 411–424.

  15. Vanderplaats, G. N., 1984,Numerical Optimization Techniques for Engineering Design with Applications, McGraw-Hill, New York.

  16. Whitehead, J. C., 1988, “Four Wheel Steering: Mancuverability and High Speed Stabilization,”Society of Automotive Engineers, Inc., SAE 880642, pp. 668–679.

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Jang, J., Han, C. The state sensitivity analysis of the front wheel steering vehicle: In the time domain. KSME International Journal 11, 595–604 (1997). https://doi.org/10.1007/BF02946329

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Key Words

  • Sensitivity Analysis
  • Front Wheel Steering Vehicle
  • Time Domain
  • Lateral Vehicle Dynamics
  • Direct Differentiation Method