Abstract
The transverse vibration should be controlled of the up-going strip emerging from the zinc pot of hot-dip galvanizing line because it directly affects the quality of zinc coating. In this paper, the up-going strip is separated from the whole hybrid system at the point where the system is away from the modal transition point in the parameter space. The dynamic equations and boundary conditions of the up-going strip are established. The Galerkin method is used to discretize the partial differential equations. One-third sub-harmonic resonance of the steel strip is explored by multiple scale method for different incentive amplitudes under different strip speed. The result shows that: there is a critical strip speed, above which one-third sub-harmonic resonance occurs. In the actual production process, the strip speed should be adjusted properly in order to avoid one-third sub-harmonic resonance.
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