Abstract
Based on Hertz contact theory, two parabolic cylinder normal contact models are established. The effect of contact angle on normal approach, actual contact area, and normal contact stiffness are investigated, and the effect of the distance from the focus to the directrix (focus distance) on the mechanical characteristics of the models is further analyzed. The parabolic cylinder contact model was verified by simulation analysis and comparison with cylinder contact model. The results demonstrated that the contact angle, focal distance, and load have significant effects on the mechanical properties of the model. The simulation data are basically consistent with the contact model data, and the parabolic cylinder contact model and cylinder contact model have the same change trend. The results verify the correctness of the parabolic cylinder contact model and reveal the variation of the mechanical properties of the contact model.
Highlights
Since the Hertz contact theory was introduced,[1] many scholars have performed detailed research on the contact problem of two micro-convex bodies
In the parabolic cylinder contact model, the cubic spline interpolation function is applicable to the relationship between actual contact area and normal approach, but not to the average contact pressure
The curve of the average contact pressure of the parabolic cylinder contact model in the elastic-plastic deformation stage obtained by the cubic spline interpolation function can ensure only continuity and smoothness, but not monotonicity, which results in oscillations
Summary
Since the Hertz contact theory was introduced,[1] many scholars have performed detailed research on the contact problem of two micro-convex bodies. In this paper, a parabolic cylinder elastic-plastic contact model with different contact angles is proposed to explore the change rules of normal approach, normal contact stiffness, and actual contact area.
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