Method for calculating the tangential contact stiffness of a rough elastic interface

Abstract

The invention provides a method for calculating the tangential contact stiffness of a rough elastic interface, and belongs to the technical field of interface contact stiffness calculation. The methodcomprises the steps that firstly, an equivalent thin layer is used for replacing a rough contact interface, and elasticity modulus and shear modulus of a thin layer material are calculated; secondly,representing the contact stiffness of the rough elastic interface based on the modulus parameters of the thin-layer material, and deducing a specific value expression of the tangential contact stiffness and the normal contact stiffness of the rough elastic interface; obtaining the normal contact stiffness of the rough elastic interface according to the micro-contact deformation mechanism of the rough elastic interface; and finally, calculating the tangential contact stiffness of the rough elastic interface by combining the normal contact stiffness and the interface contact stiffness ratio expression. The invention provides the novel method for calculating the tangential contact stiffness of the rough elastic interface, the tangential contact stiffness characteristic of the rough elastic interface is disclosed, the calculation result is accurate, and a theoretical basis is provided for the tangential contact dynamics analysis of the rough elastic interface.

Description

technical field [0001] The invention relates to the technical field of interface contact stiffness calculation, in particular to a method for calculating the tangential contact stiffness of a rough elastic interface. Background technique [0002] Contact interfaces are ubiquitous in mechanical systems. Common contact interfaces include bolt consolidation interface, bearing contact interface, gear meshing interface, wheel-rail contact interface, etc. The contact interface is used to connect mechanical parts, or transmit force and torque. From a microscopic point of view, the actual engineering surface formed by machining has a rough appearance, not absolutely smooth. The mechanical system needs to be started and stopped in actual work, and the rough contact interface mainly undergoes elastic deformation after multiple loading-unloading cycles. The interface contact characteristics directly affect the dynamic behavior of the rough interface, and the tangential contact stiffne...

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Problems solved by technology

[0003] At present, for the elastic contact problem of rough interface, the following three methods are mainly used to calculate the tangential contact stiffness of the interface: the first method is to measure the tangential deformation of the rough contact interface under different loads, according to the contact force-deformation curve The change relationship of tangential contact stiffness is calculated. This method is only suitable for rough interfaces with small tangential contact stiffness. When the tangential contact stiffness of the interface is large, it is difficult to measure the tangential deformation by this method, and the measurement error is large. And it is necessary to exclude the influence of the deformation of the measuring instrument itself; the second method is to calculate the tangential contact stiffness of the rough interface based on the acoustic measurement model, establish the relationship between the tangential contact stiffness and the reflection coefficient of the shear wave on the rough contact interface, and calculate the roughness under different loads. The tangential contact stiffness of the elastic interface, but the existing acoustic measurement model has not considered the influence of factors such as sound wave attenuation and scattering on the measured value of the reflection coefficient, resulting in the measured result of the tangential contact stiffness being much larger than the actual value; the third way is to use a large The finite element software establishes the calculation and simulation model of the tangential contact stiffness of the rough interface, but the finite element software is difficult to accurately characterize the three-dimensional rough shape of the elastic contact interface, and the analytical expression of the tangential contact stiffness of the rough interface cannot be obtained, and the numerical calculation is relatively large , the computational efficiency is low

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