Application of Chebyshev polynomial to simulated modeling

Abstract

Chebyshev polynomial is widely used in many fields, and used usually as function approximation in numerical calculation. In this paper, Chebyshev polynomial expression of the propeller properties across four quadrants is given at first, then the expression of Chebyshev polynomial is transformed to ordinary polynomial for the need of simulation of propeller dynamics. On the basis of it, the dynamical models of propeller across four quadrants are given. The simulation results show the efficiency of mathematical model.

Keywords

Chebyshev polynomial / propeller / simulation

References

[1] Li D. P., Wang Z. Y., Chi H. H. The Chebyshev fitting way and its error analysis for a propeller atlas across four quadrants[J]. Journal of Marine Science and Application, 2002, 1(1): 52-59

[2] Zhang H., Dai Y., Ren H. 3-D nonlinear computational method of dynamic pressure on ship wetted surface [J]. Journal of Ship Mechanics, 2005, 9(5): 1007-1010

[3] Zhang X., Jia X. Vehicle motion control [M]. 2006, Beijing: National Defense Industry Press

[4] Fan S. Vehicle power setting and simulation technique [M]. 1993, Shanghai: Shanghai Jiao Tong University Press

[5] Li D. Vehicle motion and modeling [M]. 2000, Harbin: Harbin Engineering University Press