Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory
How to effectively calculate the contact stiffness of the joint surface and analyze the influence of the joint surface stiffness on the dynamic characteristics of the overall structure is one of the important subjects in the study of mechanical structures. However, at present, the fractal theory is...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2024-09-01
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| Series: | Jixie chuandong |
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| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.09.001 |
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| author | Sun Zhenmao Wu Shengli Duan Weijian Xing Wenting |
| author_facet | Sun Zhenmao Wu Shengli Duan Weijian Xing Wenting |
| author_sort | Sun Zhenmao |
| collection | DOAJ |
| description | How to effectively calculate the contact stiffness of the joint surface and analyze the influence of the joint surface stiffness on the dynamic characteristics of the overall structure is one of the important subjects in the study of mechanical structures. However, at present, the fractal theory is simply applied to the calculation and analysis of the joint surface stiffness, and it is difficult to comprehensively analyze the microscopic contact characteristics. Therefore, it is urgent to propose a new method to calculate the contact stiffness of the tooth surface and to analyze the microscopic contact characteristics. Based on the W-M （Weierstrass-Mandelbrot） function, a three-dimensional solid model of the microcosmic joint surface of the tooth surface was constructed, and a new method for fractal representation of the rough surface profile based on the fractal dimension <italic>D</italic> and the tooth surface roughness was proposed, considering the influence of roughness on the stiffness. The contact deformation mechanism of asperities was discussed, and the law of contact stiffness changing with the deformation of asperities was revealed. The research shows that in the same roughness of the micro-joint surface, when the asperity deforms to the same level, the larger the fractal dimension <italic>D </italic>is, the greater the contact stiffness will be. In the joint surface with the same fractal dimension and different roughness, the smaller the roughness of the joint surface is, the greater the contact stiffness will be. |
| format | Article |
| id | doaj-art-866d24a013414c3da5b5744314258c5b |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2024-09-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-866d24a013414c3da5b5744314258c5b2025-01-10T15:01:30ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392024-09-01481972500181Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal TheorySun ZhenmaoWu ShengliDuan WeijianXing WentingHow to effectively calculate the contact stiffness of the joint surface and analyze the influence of the joint surface stiffness on the dynamic characteristics of the overall structure is one of the important subjects in the study of mechanical structures. However, at present, the fractal theory is simply applied to the calculation and analysis of the joint surface stiffness, and it is difficult to comprehensively analyze the microscopic contact characteristics. Therefore, it is urgent to propose a new method to calculate the contact stiffness of the tooth surface and to analyze the microscopic contact characteristics. Based on the W-M （Weierstrass-Mandelbrot） function, a three-dimensional solid model of the microcosmic joint surface of the tooth surface was constructed, and a new method for fractal representation of the rough surface profile based on the fractal dimension <italic>D</italic> and the tooth surface roughness was proposed, considering the influence of roughness on the stiffness. The contact deformation mechanism of asperities was discussed, and the law of contact stiffness changing with the deformation of asperities was revealed. The research shows that in the same roughness of the micro-joint surface, when the asperity deforms to the same level, the larger the fractal dimension <italic>D </italic>is, the greater the contact stiffness will be. In the joint surface with the same fractal dimension and different roughness, the smaller the roughness of the joint surface is, the greater the contact stiffness will be.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.09.001Rough surfaceRoughnessFractal theoryContact stiffness model |
| spellingShingle | Sun Zhenmao Wu Shengli Duan Weijian Xing Wenting Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory Jixie chuandong Rough surface Roughness Fractal theory Contact stiffness model |
| title | Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory |
| title_full | Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory |
| title_fullStr | Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory |
| title_full_unstemmed | Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory |
| title_short | Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory |
| title_sort | contact characteristics analysis of tooth surface microscopic morphology based on the fractal theory |
| topic | Rough surface Roughness Fractal theory Contact stiffness model |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.09.001 |
| work_keys_str_mv | AT sunzhenmao contactcharacteristicsanalysisoftoothsurfacemicroscopicmorphologybasedonthefractaltheory AT wushengli contactcharacteristicsanalysisoftoothsurfacemicroscopicmorphologybasedonthefractaltheory AT duanweijian contactcharacteristicsanalysisoftoothsurfacemicroscopicmorphologybasedonthefractaltheory AT xingwenting contactcharacteristicsanalysisoftoothsurfacemicroscopicmorphologybasedonthefractaltheory |