泥沙起动条件的非线性理论

Nonlinear theory for incipient condition of sediment

本文根据突变理论。分析了非均匀沙起动尖点突变模型的状态变量和控制变量,从尖点突变的标准方程出发,通过坐标变换和拓扑变换得出泥沙起动时的水流条件与泥沙因素之间的函数关系式,建立了能反映泥沙起动的尖点突变模型,得到泥沙起动的临界条件方程。并用尖点突变理论对泥沙起动现象进行了解释。

The cusp catastrophe theory is applied to study the incipient motion of sediment.Status variable and control variables influencing the incipient motion are analyzed. The functional relationship between flow condition and sediment factors for establishing the model is deduced by corrdinate transform and topology transform. On the basis of standard cusp-catastrophe equation the critical condition equation for incipient motion is obtained. The validity of the model is verified by relevant data.