INVESTIGATION OF VIBRATIONS OF IDEALLY LUBRICATED CIRCULAR ELEMENT OF AGRICULTURAL MACHINES
Abstract
Circular structures are used as elements of agricultural machines. Investigation of their vibrations is an important engineering problem. Here a simplified model based on two basic assumptions is being investigated. The first assumption is that in the normal direction the internal and external circular surfaces of the structure are fastened, that is the corresponding displacements are assumed equal to zero. The second assumption is that of ideal lubrication of both circular surfaces, that is it is assumed that there is no force of friction in the tangential direction resisting to the motion of the structure and thus the tangential displacements are free to perform their motions. Of course, those assumptions are not exactly observed in practical engineering applications, but they enable us to determine the eigenmodes of the investigated circular element of agricultural machines. The presented approach serves as an initial approximation for investigation of the described engineering problem especially having in mind the assumption of ideal lubrication.
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