Vibration of crane radius change system with internal damping

Abstract

Abstract. In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system with the developed hydraulic cylinder model that changes the radius has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin-Voigt rheological model) of beams that model the system. Damped vibration frequency and the vibration amplitude decay level have been calculated. Changes of the eigenvalues of system vibrations with the damping ratio change and the change of the system geometry with different loads observed on it have been presented.

Damped vibration of the system of changing the crane boom radius

“…In most of the above studied, modelling of a cylinder that changes the boom radius was simplified, whereas the effect of damping has not been taken into consideration. The investigations concerning damped vibration have been discussed in [8][9][10][11][12][13]. The effect of small internal and external damping on stability of non-conservative beam systems was presented in [8].…”

“…Previous studies in this field examined vibrations of the system with internal damping [12] and vibrations in the system with constructional damping of supports [13]. The dissipation of vibration energy in the model adopted occurs as a result of simultaneous internal damping of the viscoelastic material of the beam used in the model and the constructional damping in the locations of supports of the cylinder and crane boom with the bodywork frame of the crane.…”