中文摘要：

本文基于尖点突变理论，针对泥沙运动的复杂特征，建立了波浪作用下的泥沙起动模式，确定了希尔兹极值、相对粒径和反映波浪与泥沙之间相互作用参数的非线性方程，并对该方程进行了拓扑变换。该模式的计算结果与波浪水槽试验资料的对比分析说明，该模式尽管存在一定的系统误差，但是对于波浪作用下的泥沙起动流速的求解和运动状态判别与试验值基本吻合，进而证明了泥沙起动的突变特性和该模型的适用性。

英文摘要：

Based on the cusp catastrophe theory and the complex characteristics of sediment movement we discussed the initial motion condition of sediment under wave action, and established a nonlinear equation included Shields threshold, grain relative size and a dimensionless number considered the interaction between wave and sediment, then carried through topological transformation to it. Although of this mode existed a systematic error, the comparison results between calculated value and the test data of sediment initial motion velocity were of a good agreement, and the catastrophe and nonlinear characteristics of sediment initial movement and its adaptability were proved.