Author(s): Ju-Rui Yang; Duo Fang; Wen-She He; Wen-Ping Li; Xing-Nian Liu
Linked Author(s):
Keywords: Nonlinear; Catastrophe theory; Cusp-catastrophe; Transport rate of bed load; Model
Abstract: In the theory of the cusp-catastrophe of nonlinear science, the intensity of water-flowΘand the coefficient of non-uniformity of sediment m are regarded as two bound variables, and the intensity of bed-load transportΦas the state variable in the motion of non-uniform sediment in cusp-catastrophe model. Based on the standard equation of the cusp-catastrophe theory, the relation formula between the intensity of bed-load transportΦand the intensity of water-flowΘhas been derived by used coordinate transform and topology transform. The formula of bed load transpor rate was built on the cusp-catastrophe theory of nonlinear science. The others are applied to verify this formula, that the results calculated by the cusp-catastrophe formula agree well with the othe formulas’. This indicates that the cusp-catastrophe formula is reasonable, and the results fully reflec the characteristics of threshold motion and transport of non-uniform sediment. The purpose of this paper is to explore the incipient motion and transport laws of non-uniform sediment from the viewpoint of nonlinear science.
Year: 2002