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<p>A mechanical model was developed to investigate the effects of micro-morphology and macro-geometry on the bearing capacity of two contacting spheres. First, the influence of the frequency index on the elastoplastic deformation stage was analyzed. Next, by correlating the curvature radii of the two spherical surfaces with the contact area distribution function, an improved asperity contact area distribution function was derived. Finally, a fractal contact model for interacting spherical surfaces was established. The results indicate that internal contact provides a higher load-bearing capacity than external contact. Furthermore, when the radii of the two spheres are equal, internal contact approximates plane contact, and the load-bearing capacity reaches its maximum value. This study provides a theoretical foundation for enhancing the load-carrying capacity of mechanical components such as bearings.</p>

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Multi-scale model of two rough spherical surfaces under internal and external contact conditions

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Jian Chen,
  • Hou Li,
  • Min Cao,
  • Zeteng Tong,
  • Fuquan Zang,
  • Linbo Zhu

摘要

A mechanical model was developed to investigate the effects of micro-morphology and macro-geometry on the bearing capacity of two contacting spheres. First, the influence of the frequency index on the elastoplastic deformation stage was analyzed. Next, by correlating the curvature radii of the two spherical surfaces with the contact area distribution function, an improved asperity contact area distribution function was derived. Finally, a fractal contact model for interacting spherical surfaces was established. The results indicate that internal contact provides a higher load-bearing capacity than external contact. Furthermore, when the radii of the two spheres are equal, internal contact approximates plane contact, and the load-bearing capacity reaches its maximum value. This study provides a theoretical foundation for enhancing the load-carrying capacity of mechanical components such as bearings.