2021
DOI: 10.1063/5.0046579
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On the approximating criteria of parabolic asperities for measured surface profiles

Abstract: Surface description is fundamental in mechanical contact analysis. In this paper, some of the most common approaches for roughness description are first briefly described. Some models for approximating a real rough profile with parabolas that guarantee the preservation of some specific characteristics are presented. The specimens of aluminum alloy with different surface roughnesses are prepared and measured. A data analysis program is developed to identify the measured profile with quadratic functions for diff… Show more

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Cited by 3 publications
(4 citation statements)
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“…¥ representing the strength of the connection. Such a graph can be represented by a symmetric adjacency matrix W shown in equation (13). The weighted links between two points are computed as the Euclidean distance between measurable values on these nodes in figure 3(b).…”
Section: Graph Evaluation For Frequency Domainmentioning
confidence: 99%
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“…¥ representing the strength of the connection. Such a graph can be represented by a symmetric adjacency matrix W shown in equation (13). The weighted links between two points are computed as the Euclidean distance between measurable values on these nodes in figure 3(b).…”
Section: Graph Evaluation For Frequency Domainmentioning
confidence: 99%
“…The main frequency domain values of the middle row of the low roughness feature texture are selected as priori knowledge in figure 11. According to the corresponding equation (13), the corresponding graph matrix can be constructed in figure 12(a). After modeling, it is diagonalized and the generated eigenvalues are [−2.2756, −0.3846, −0.1945, −0.1122, −0.0262, −0.0091, −0.0051, −0.0021, 3.0093], and the corresponding eigenvectors are shown in figure 12(b).…”
Section: Similarity Evaluationmentioning
confidence: 99%
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“…The rough asperities can be modelled as the set of the elasto-plastically deformed hemispheres [154] to [157], hemi-ellipsoids [157] and [158] or paraboloids [159] and [160] with various distributions.…”
Section: The Effect Of Lubrication On the Contact Pressure In Contact...mentioning
confidence: 99%