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.
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References
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CHI Hai-hong was born in 1970. She is an associate professor of Harbin Engineering University. Her current research interests include chaos theory and computer network etc.
LI Dian-pu was born in 1934. He is a professor of Harbin Engineering University. His current research interests include chaos theory and DSV motion etc.
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Chi, Hh., Li, Dp. Application of Chebyshev polynomial to simulated modeling. J Mar. Sc. Appl. 5, 38–41 (2006). https://doi.org/10.1007/s11804-006-6027-8
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DOI: https://doi.org/10.1007/s11804-006-6027-8