Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor

ZHU Liuxian; WEI Wei; LI Li

doi:10.3969/j.issn.0258-2724.20230148

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ZHU Liuxian, WEI Wei, LI Li. Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230148

Citation:

ZHU Liuxian, WEI Wei, LI Li. Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230148

ZHU Liuxian, WEI Wei, LI Li. Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230148

Citation:

ZHU Liuxian, WEI Wei, LI Li. Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230148

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Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor

doi: 10.3969/j.issn.0258-2724.20230148

ZHU Liuxian^{1, 2
,},
WEI Wei²,
LI Li^{1
,
,}

1.
School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
2.
Sichuan Provincial Engineering Laboratory of Super Alloy Cutting Technology, Deyang 618000, China

Received Date: 06 Apr 2023
Rev Recd Date: 28 Nov 2023

Available Online: 29 Mar 2025

Abstract

Abstract

To overcome the issues of huge computation and low retrieval efficiency in extracting planar open path by numerical atlas, a dimension synthesis approach was proposed based on chord angle descriptor. To begin with, by using the invariance of translation, rotation, and scaling of the chord angle descriptor, the path shape feature can be obtained directly which is independent of frame position, orientation and the overall scaling of the mechanism. Then, based on the self-contained property of the chord angle descriptors, a partial matching algorithm is proposed for the open path, which is not affected by the sampling resolution. Furthermore, the obtained chord angle descriptor is compressed into 2-dimensional features by multi-dimensional scaling. The numerical atlas of 16000 groups of planar four-bar linkages is established by combining the hierarchical clustering algorithm. On this basis, the mechanism dimension type is retrieved according to the similarity between the chord angle descriptors of the design requirements and the chord angle descriptors in the mapping library. Finally, this method is validated by the dimensional synthesis arithmetic example of two planar open path.
- open path,
- dimensional synthesis,
- chord angle descriptor,
- multi-dimensional scaling,
- hierarchical clustering

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References(36)

References

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