Shape Deviation Network of an Injection-Molded Gear: Visualization of the Effect of Gate Position on Helix Deviation
Source abstract
Abstract
The purpose of this study is to develop an evaluation method for assessing the relative relationship between gear tooth shape deviations on every gear tooth using network theory. Our previous study introduced a method for representing the phase difference between each helix deviation as a network, demonstrating that it is possible to identify the relative relationship between gear tooth deviations. However, there has been no in-depth analysis of the impact of injection molding on the gear’s phase difference network. In this paper, we begin by measuring the gear tooth shape deviation, calculating the correlation coefficient, and expressing it as an adjacency matrix. When the adjacency matrix was visualized and displayed as a pixel plot, a periodic pattern was formed. The relationship between the position of the gate used to inject molten resin material into the injection mold and the pixel plot were then investigated in detail, and it was confirmed that the helix deviation network of a gear manufactured with the injection molding process is useful as a new indicator for the manufacturing error of injection-molded plastic gear.
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Research context
OpenAlex topics: Gear and Bearing Dynamics Analysis · Advanced machining processes and optimization · Mechanical Engineering and Vibrations Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Precision Manufacturing Laboratory, Department of Mechanical Engineering, Kyoto Institute of Technology, Goshokaidou-cho, Matsugasaki, Sakyo-ku, Kyoto 606-0951, Japan
Funding
Japanese Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Scientific Research (C)
References (17)
Show source-provided references
1. Noise characteristics and acoustic design sensitivity of the helical gear system in wind turbine load10.1007/s12206-022-1108-4 ↗
2. Vibration and noise characteristics of coaxial magnetic gear according to low-speed rotor structure10.1007/s12206-017-0515-4 ↗
3. Characteristics of noise generated by axial excitation of helical gears in shaft-bearing-plate system10.1007/s12206-015-0329-1 ↗
4. Effect of variations in tooth flank form among teeth on gear vibration and an sensory evaluation method using potential gear noise10.1299/jamdsm.4.1166 ↗
5. Rotational Vibration of a spur gear pair considering tooth helix deviation (Development of simulator and verification)
6. Mechanism of Occurrence of Ghost Noise in Helical Gears Resulting from Thread-Type Tool Grinding(Machine Elements, Design and Manufacturing)10.1299/kikaic.75.2575 ↗
7. Vibration diagnosis method of multistage gearing to point out ghost noise source with amplitude fluctuation analysis
8. New measuring method for single pitch deviation of hobbed gears (Using measured helix form data conditioned with Gaussian filter)
9. (2013). Cylindrical Gears—ISO System of Flank Tolerance Classification—Part 1: Definitions and Allowable Values of Deviations Relevant to Flanks of Gear Teeth (Standard No. ISO 1328-1:2013).
10. (2016). Cylindrical Gear-Accuracy Class—Part 1: Definition and Tolerance of Errors on Gear Tooth Flanks (Standard No. JIS B 1702-1).
11. Barabási, A.-L. (2023, April 06). Network Science. Chapter 2. Available online: http://networksciencebook.com.
12. Optimization of injection molding design. Part I: Gate location optimization10.1002/pen.760301502 ↗
13. Network analysis of attitudes towards immigrants in Asia10.1007/s41109-020-00315-w ↗
14. Visualization of phase differences between tooth helix deviations using graph theory10.1007/s10010-019-00358-1 ↗
15. Networks of tooth helix deviations of ground and super-finished gears—Phase edges and intensity vertices10.1007/s12206-019-1112-5 ↗
16. Fiber Reinforcement in Injection Molded Nylon 6/6 Spur Gears10.1007/s10443-006-9016-9 ↗
17. Solanki, B.S., Singh, H., and Sheorey, T. (2021). Recent Advances in Mechanical Engineering, Springer.