An Improved Metamorphosis-Based Scheme of Feed Mechanism Using Configuration Synthesis
Abstract
:1. Introduction
2. Algorithm of Metamorphic Mechanism
2.1. Compositions of Metamorphic Elements
2.2. Variation Modes of Metamorphic Elements
- (1)
- Translocation operation
- (2)
- Inversion operation
- (3)
- Duplication operation
3. Configuration Synthesis Method of the Metamorphic Mechanism
3.1. Source Metamorphic Mechanism Disintegration
3.2. Constraint Functions of Metamorphic Elements
3.3. Metamorphic Element Configuration Scheme
3.4. Configuration Synthesis of Metamorphic Mechanism
- (1)
- The aggregated two metamorphic elements have the same motion directions.
- (2)
- The characteristics of aggregated kinematic pairs are consistent.
- (3)
- When the metamorphic elements are aggregated, the kinematic pairs of a metamorphic element fail to connect to the same metamorphic element.
- (4)
- The relative position of other kinematic pairs remains constant.
4. Comparison of the Mechanism Configurations
5. Conclusions
- (1)
- Metamorphic element mode consisting of kinematic pair and kinematic size, and a three-layer coupling relationship of the metamorphic mechanism, metamorphic element, kinematic pair and kinematic size are established. An optimization of the variation modes of the metamorphic element, such as translocation, inversion and duplication, are performed successfully.
- (2)
- Feed mechanism is decomposed into three kinds of metamorphic elements of Assur group II. The constraint equations of metamorphic elements and their influence relationships among three kinematic sizes and the displacement of the feed dog are revealed. An interesting finding is that the displacement x is proportional to the kinematic size d2, trapezoidal to the kinematic size d3, and parabolic to the kinematic size d6. The value ranges of the three kinematic sizes are obtained, with d2 = (5, 73) mm, d3 = (13, 17) mm, and d6 = (23, 25) mm, respectively.
- (3)
- Configuration schemes of three metamorphic elements and three mechanism configurations of the feed mechanism are synthesized successfully.
- (4)
- The upward and downward displacement of mechanism configuration 1 is suitable for sewing thick material with the largest value of 1.99 mm, which is one-fifth higher than that of the source mechanism. Forward and backward displacement of mechanism configuration 2 is 1.7 times higher than the source mechanism counterpart, as well as relatively larger that configuration 3. Regarding global movements, mechanism configuration 2 exhibits better stability behavior, which is more suitable for efficient and high-speed places, verifying that the proposed mechanism is better than the source mechanism.
- (5)
- This work provides guidance for the design of the lockstitch sewing machine with differently functional requirements. In our future studies, the dynamic behavior of the three proposed configurations and the source mechanism will be further investigated by manufacturing verification machines, and applying the method to the design of more types of sewing equipment.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Pa | 0 | 1 | 2 | 3 |
Meaning | Revolute pair | Prismatic pair | Planar and planar pair | Planar high pair |
Mechanism Configuration | Source Mechanism | Expression | Configuration of Metamorphic Element |
---|---|---|---|
1 | |||
2 | |||
3 |
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Zhang, L.; Liu, Y.; Zhang, Y. An Improved Metamorphosis-Based Scheme of Feed Mechanism Using Configuration Synthesis. Processes 2022, 10, 2487. https://doi.org/10.3390/pr10122487
Zhang L, Liu Y, Zhang Y. An Improved Metamorphosis-Based Scheme of Feed Mechanism Using Configuration Synthesis. Processes. 2022; 10(12):2487. https://doi.org/10.3390/pr10122487
Chicago/Turabian StyleZhang, Li, Yang Liu, and Yongju Zhang. 2022. "An Improved Metamorphosis-Based Scheme of Feed Mechanism Using Configuration Synthesis" Processes 10, no. 12: 2487. https://doi.org/10.3390/pr10122487
APA StyleZhang, L., Liu, Y., & Zhang, Y. (2022). An Improved Metamorphosis-Based Scheme of Feed Mechanism Using Configuration Synthesis. Processes, 10(12), 2487. https://doi.org/10.3390/pr10122487