A rough surface contact analysis method based on fractal and statistical summation

By constructing a rough surface contact analysis method based on fractals and statistical summation, the problem that existing models cannot accurately characterize the rough surface characteristics of bolted flat plate structures after turning is solved, and high-precision contact mechanical response prediction is achieved, supporting structural optimization design and reliability assessment.

CN122174436APending Publication Date: 2026-06-09NAVAL UNIV OF ENG PLA

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
NAVAL UNIV OF ENG PLA
Filing Date
2026-02-03
Publication Date
2026-06-09

AI Technical Summary

Technical Problem

Existing contact models are unable to accurately reflect the non-Gaussian distribution, anisotropy, and multi-scale fractal characteristics of the rough surface of bolted flat structures after turning, resulting in insufficient accuracy in predicting contact mechanical response and an inability to fully characterize key parameters such as contact load and contact area.

Method used

A horizontal fractal model is constructed using the power spectral density method, and a composite geometric constitutive model is combined with the vertical Lorentz model. This model, along with the ZMC micro-convexity elastoplastic model, is used to construct a rough surface contact analysis method, which comprehensively characterizes multi-scale fractal properties and non-Gaussian distribution.

Benefits of technology

It significantly improves the prediction accuracy of contact mechanical response, and controls the prediction errors of normal mechanical response, contact load and contact area within a low range, providing solid theoretical support for the optimized design and reliability assessment of bolted connection structures.

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Abstract

This invention belongs to the field of rough surface analysis, specifically relating to a rough surface contact analysis method based on fractals and statistical summation. The method employs the power spectral density method to construct a horizontal fractal model and a vertical composite geometric constitutive model combined with Lorentz spectral density. This invention provides a comprehensive characterization method: by constructing a fractal and Lorentz composite geometric model, it achieves full-band characterization of horizontal fractal characteristics and vertical macroscopic processing textures and microscopic fractals, accurately capturing the non-Gaussian distribution, anisotropy, and multi-scale fractal characteristics of machined surfaces, overcoming the limitation of traditional models that can only represent a single scale.
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