A theoretical study on fundamental of vehicle behavior under force control

Abstract

Drivers move steering wheel by controlling both angle and torque of steering wheel. The steering manner that drivers steer only by torque is called “force control.” Since a dynamics of steering system is added to vehicle planar motion under force control, natural frequencies under force control differ from yaw natural frequency. To improve vehicle dynamic behavior, hence, not only yaw natural frequency, but also natural frequencies under force control are important. Therefore this paper aims to obtain symbolic natural frequencies under force control. Firstly, this paper obtains a characteristic equation under force control, which is expressed as a quartic equation of Laplace operator s. Secondly, Laplace operator s is replaced another variable to transform the quartic equation into a biquadratic equation. Solving the biquadratic equation, this paper obtains symbolic formulas of the frequencies. Considering these formulas, this paper proposes an improvement method of vehicle behavior under force control.

Article Details

How to Cite
Sakai, H. (2018). A theoretical study on fundamental of vehicle behavior under force control. Journal of Research and Applications in Mechanical Engineering, 4(1), 35–45. Retrieved from https://ph01.tci-thaijo.org/index.php/jrame/article/view/138791
Issue
Section
RESEARCH ARTICLES

References

[1] Iwamoto, S., Hramatsu, K. and Inoue, S. Bilateral model of steering system (part 1), JSAE Transaction, No.15, 1978, pp.89-96 (in Japanese).

[2] Sakai, H. A study on vehicle response under force control -a fundamental study-, JSAE Transaction, Vol. 45(6), 2014, pp. 1013-1020 (in Japanese).

[3] Sakashita, K. and Okada, T. Effects of dynamical features of steering system on automobile stability and control predicted by linearized theory. Journal of Society of Automotive Engineers of Japan, Vol.18(4), 1964, pp.268-273 (in Japanese).

[4] Bark, P. Magic numbers in design of suspensions for passenger cars, SAE Paper, No. 911921, 1991, pp. 1-38.

[5] Sakai, H. Stability under force control and its index, JSAE Transaction, Vol. 44(2), 2013, pp. 441-448 (in Japanese).