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Tangential contact stiffness modeling between fractal rough surfaces with experimental validation

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Abstract

The tangential contact stiffness of joint interface is investigated in this work, using both theoretical and experimental methods. Firstly, the contact characteristics of a single asperity are analyzed on the basis of the fractal theory. Second, the total normal load and tangential stiffness of multiple asperities on the contact area are obtained by the integral over the entire surfaces. Besides, the effects of influential factors, including fractal dimension, fractal roughness, material property, friction coefficient, and load ratio, are comprehensively evaluated and discussed. Furthermore, in order to verify the effectiveness of the proposed model, two groups of test specimens are machined from different material types (45#steel and 20CrMnTi), and their actual surface profiles are measured. The structure function method is adopted to determine each profile’s fractal parameters. Under different normal load conditions, the experimental results of tangential contact stiffness on the rough surface between the upper and lower specimen are processed and obtained. By comparing the numerical results with experimental data, it is concluded that the proposed model has higher prediction accuracy on tangential contact stiffness than the comparison model. The establishment of the model not only provides a new theoretical supplement to the contact mechanics research, but also lays the foundation for the subsequent dynamic analysis of interfacial behavior on the combined structures.

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Acknowledgements

This work was supported by the National Science and Technology Major Project (2017-IV-0010-0047), Science Center for Gas Turbine Project (P2022-C-I-002-001)

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Authors and Affiliations

  1. Department of Energy and Power Engineering, Tsinghua University, Beijing, 100084, China

    Gancai Huang, Chao Liu, Wenzhen Xie & Dongxiang Jiang

  2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Tsinghua University, Beijing, 100084, China

    Chao Liu

  3. State Key Laboratory of Control and Simulation of Power System and Generation Equipment, Tsinghua University, Beijing, 100084, China

    Dongxiang Jiang

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  1. Gancai Huang
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Contributions

Gancai Huang conducted the theoretical research and wrote the main manuscript text. Wenzhen Xie established the test rig and prepared figures 9-10. Chao Liu and Dongxiang Jiang provided experimental support and reviewed the manuscript.

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Correspondence to Chao Liu.

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Huang, G., Liu, C., Xie, W. et al. Tangential contact stiffness modeling between fractal rough surfaces with experimental validation. Arch Appl Mech 94, 719–736 (2024). https://doi.org/10.1007/s00419-024-02547-z

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