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The nonlinear equation was established for the incipient motion of sediment under constant flow, including Reynolds number, Hiltz number and sediment erosion intensity. Based on cusp catastrophe theory, this experimental process focused on the main factors affecting incipient motion of sediment and bottom riverbed scouring, and considerd different flow intensity conditions. The Reynolds number of sand particles from other experiments was used in the nonlinear equation of this study to verify the influence of Reynolds number. The theoretical value calculated by this formula has a strong consistency with the test value, after comparing the results and data. Therefore, this nonlinear equation can basically meet the requirements for predicting the scouring intensity of fine sediment.

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基于尖点突变理论，针对影响泥沙起动、底床冲刷的主要因素，在不同水流强度下，建立了恒定流下泥沙起动模式，以及沙粒雷诺数、希尔兹数与泥沙冲刷强度的非线性方程，进行了相应的物理模型试验，并将已有试验得到的沙粒雷诺数代入非线性方程，探讨了沙粒雷诺数的大小对非线性方程的影响，将所提公式的计算结果与已有资料进行对比，发现该理论公式的计算值与试验值具有较好的一致性，能基本满足对细颗粒泥沙冲刷强度的预测需求。

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马俊峰（1998-），男，硕士研究生，研究方向为岸滩防护，E-mail：majunfeng@stu.ouc.edu.cn

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马俊峰（1998-），男，硕士研究生，研究方向为岸滩防护，E-mail：majunfeng@stu.ouc.edu.cn

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