Using the harmonic balance method to solve the equation,at last the two scrip catastrophe model of the free span of submarine under the excited vortex inducing vibration with the current effect was obtained.

A research on the cusp catastrophe model of rockburst at the working surface of coal mining;

Application of cusp catastrophe model to the groundwater specific vulnerability assessment;

Study on ship rolling and capsizing based on the cusp catastrophe

Based on the catastrophe theory,a cusp catastrophic model of the destabilization of mine pillar was proposed and used in the destabilization mechanism analysis of mine pillar.

By applying catastrophic theory, a cusp catastrophic model for failure instability of strip coal pillar was set up.

Based on the catastrophic theory ,a cusp catastrophic model for the instability of pillar rock burst was established.

Application of cusp catastrophe theory to research of mine water inrush law from roof;

Determining and forecasting ultimate bearing capacity of pile based on cusp catastrophe theory;

The application of cusp catastrophe theory in relational model of traffic flow parameters;

A cusp catastrophe model study of destabilization of soft sandwich-rock slope;

Abnormality diagnosis of cracks based on wavelet analysis and cusp catastrophe model;

A cusp catastrophe model of key point s horizontal displacement and reduction coefficient is built by using the strength reduction finite element method to evaluate the slope stability.