The dynamic stability of a laboratory model of a truck crane

In the work the dynamic stability of laboratory model of the truck crane is considered. The results in the form of frequency curves for changing the geometry of the system have been presented. Solution of the Mathieu equation enables one to determine the dynamic stability regions of the system. It has been found that, for each of the studied examples, there exists such a rope length for which the critical value of the coefficient a in the Mathieu equation is obtained. That means that for specified geometrical and load conditions, the system may loose its dynamic stability (unless vibration damping is considered).