Abstract
AbstractThe dynamic positioning accuracy and the smoothness are key aspects of linear belt drives where vibrations have a negative impact. A FE‐Model, based on a one‐dimensional analytical model of the belt, is derived to study the respective effects for different parameters. The model considers the dominant transverse deflection and a quasi‐static assumption for the longitudinal deformation. The possibility to consider various time‐varying belt lengths, the belt mass, stiffness and tension force is an essential part of the modeling. The non‐linear cable effect is demonstrated by comparison with the linearized solution. Vibrations for the cases of constant and variable belt length are investigated and compared to common in literature used approximation formulas for the resonance frequencies of such systems. The influence on positioning deviations and the use of vibration reduction techniques considering the different belt sections of the linear drive can be derived from the computed results and are topics for future research.
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