In this work, a novel dynamic computational model developed for the purpose of modelling the phenomenon of friction force reduction in a sliding motion at tangential transverse vibrations of elastic support is presented. In contrast to the currently used so-called kinematic models, this model takes into account the mass of a sliding and simultaneously subjected to vibrations body. It is based on the dynamic equations of motion of this body. For the description of the friction force, the LuGre model was used which considers both the compliance of the contact zone and its damping. Considered in this model are also compliance and damping of the drive. The model assumes that vibrations are not imposed directly on the shifting body but are transferred to it from the vibrating elastic support. The developed model has been implemented in the Matlab/Simulink environment and subsequently utilised in simulating analyses. The results of these were compared with the results of experiments which were carried out using a designated, in-house built, experimental rig. An excellent compliance has been achieved.

在这项工作中，提出了一种新的动态计算模型，其目的是模拟弹性支撑的切向横向振动下滑动运动中的摩擦力减小现象。与目前使用的所谓运动学模型相比，该模型考虑了滑动的质量并同时受到振动体的影响。它基于这个身体的动态运动方程。为了描述摩擦力，使用了 LuGre 模型，该模型考虑了接触区的柔量及其阻尼。在该模型中还考虑了驱动器的柔顺性和阻尼。该模型假设振动不直接施加在换挡体上，而是从振动的弹性支撑传递给换挡体。开发的模型已在 Matlab/Simulink 环境中实现，随后用于模拟分析。将这些结果与使用指定的内部建造的实验装置进行的实验结果进行比较。达到了极好的合规性。