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Effect of Interface Tangential Relative Motion Caused by Vibration on Friction
LU Jiandong, ZHAO Zhen
Acta Scientiarum Naturalium Universitatis Pekinensis    2020, 56 (5): 777-784.   DOI: 10.13209/j.0479-8023.2020.056
Abstract1186)   HTML    PDF(pc) (2073KB)(223)       Save
In order to study the effect of vibration on friction at contact interface, an experimental device was designed. The slider sliding at uniform speed on the vibrator was taken as the object. The mechanism of friction reduction caused by normal vibration and tangential vibration at interface was analyzed by means of experiment and theory. The experimental results show that normal vibration and tangential vibration often exist simultaneously. When the interface vibrates and the direction of the tangential relative velocity between the slider and the vibrator remains constant, the average sliding friction force of the slider is the same as that without vibration, and there is no friction reduction effect. When the interface vibrates and the tangential relative velocity direction changes periodically or stick-slip, there is an obvious friction reduction effect compared with that without vibration. Coulomb’s friction law was used to establish a dynamic model for simulation, and the simulation results are in good agreement with the experimental results, indicating that Coulomb’s friction model could reflect the friction between interfaces under the condition of known interface motion. The experimental and theoretical results show that the main reason for friction reduction is the periodic change of friction direction between interfaces or stick-slip caused by the tangential relative motion due to the vibration, when normal vibration and tangential vibration exist at the same time. 
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On Nonholonomic Constraints about the Pure Rolling of Point Contact
ZHAO Zhen, LIU Caishan, LU Jiandong
Acta Scientiarum Naturalium Universitatis Pekinensis    2016, 52 (4): 713-716.   DOI: 10.13209/j.0479-8023.2016.084
Abstract3044)   HTML    PDF(pc) (312KB)(749)       Save

Nonholomonic constraints are involved for 3D point-contact problems. The virtual displacements restricted by the constraints are usually given by Appell-Chetaev’s rule. It has not been very clear of the geometric meaning in configuration space for Appell-Chetaev’s rule of nonholonomic constraints. The authors investigate point contact with pure rolling by two rigid bodies in a multibody system to discover its geometric sense. First, the sufficient and necessary conditions of point contact are given. A ball-plane system is presented to demonstrate the validation of the conditions by deducing the system’s obvious contact constraint originating from them. Two geometric restrictions for pure rolling are obtained by the nonholonomic constraints of pure rolling as well as the contact constraint in velocity level. It proves that the virtual displacements of the two restrictions are same as those of the constraints of point contact with pure rolling obtained by Appell-Chetaev’s rule. So, it is thought that the constraints of pure rolling are constructed by the two geometric restrictions.

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