Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model

Adopt robot arm for automatic spraying of footwear soles to solve the problems of low efficiency of manual spraying and substandard quality of spraying glue. Established a spray torch model with the pressure of the spraying swath <inline-formula> <tex-math notation="LaTeX">$p_{...

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Main Authors: Zhang Hao, Meng Zhuo, Chen Yujie, Sun Yize
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10177155/
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author Zhang Hao
Meng Zhuo
Chen Yujie
Sun Yize
author_facet Zhang Hao
Meng Zhuo
Chen Yujie
Sun Yize
author_sort Zhang Hao
collection DOAJ
description Adopt robot arm for automatic spraying of footwear soles to solve the problems of low efficiency of manual spraying and substandard quality of spraying glue. Established a spray torch model with the pressure of the spraying swath <inline-formula> <tex-math notation="LaTeX">$p_{f}$ </tex-math></inline-formula>, the atomizing pressure <inline-formula> <tex-math notation="LaTeX">$p_{w}$ </tex-math></inline-formula>, spraying flow <inline-formula> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula>, spraying distance <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>, and spraying angle <inline-formula> <tex-math notation="LaTeX">$\theta $ </tex-math></inline-formula> as the variables, a visual trajectory offset function was established by introducing the sidewall <inline-formula> <tex-math notation="LaTeX">$L$ </tex-math></inline-formula> of the sole and the normal vector <inline-formula> <tex-math notation="LaTeX">$\overline n$ </tex-math></inline-formula> of the trajectory point, and the B-spline curve was used for interpolation to the offset trajectory. The improved non-dominated sorting genetic algorithm (INSGA-&#x00CF;) was adopted to solve the spraying trajectory with time, energy, and smoothness as the objectives. A normalized weight function was established that treated the three objectives with equal importance to optimize the solutions. Furthermore, a simulation to optimize the glue spray trajectory and glue spraying experiments were conducted on the sidewall of a shoe sole with a size of 41. As revealed in the results, provided that energy and smoothness are ensured, the proposed model can spray glue on the sidewall of the footwear sole uniformly within 7.27 s, no glue overflow and leakage phenomenon, and the spraying effect is uniform, peeling strength is more than 2.5Kgf/cm, greater than the process requirements of the index, and solved the bottleneck of shoe sole spraying.
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spelling doaj.art-d7e80bb05f2f442f824fd9f189c9dc082023-08-09T23:00:49ZengIEEEIEEE Access2169-35362023-01-0111794227943310.1109/ACCESS.2023.329363910177155Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch ModelZhang Hao0https://orcid.org/0000-0001-9210-6811Meng Zhuo1Chen Yujie2Sun Yize3College of Mechanical Engineering, Donghua University, Shanghai, ChinaCollege of Mechanical Engineering, Donghua University, Shanghai, ChinaCollege of Mechanical Engineering, Donghua University, Shanghai, ChinaCollege of Mechanical Engineering, Donghua University, Shanghai, ChinaAdopt robot arm for automatic spraying of footwear soles to solve the problems of low efficiency of manual spraying and substandard quality of spraying glue. Established a spray torch model with the pressure of the spraying swath <inline-formula> <tex-math notation="LaTeX">$p_{f}$ </tex-math></inline-formula>, the atomizing pressure <inline-formula> <tex-math notation="LaTeX">$p_{w}$ </tex-math></inline-formula>, spraying flow <inline-formula> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula>, spraying distance <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>, and spraying angle <inline-formula> <tex-math notation="LaTeX">$\theta $ </tex-math></inline-formula> as the variables, a visual trajectory offset function was established by introducing the sidewall <inline-formula> <tex-math notation="LaTeX">$L$ </tex-math></inline-formula> of the sole and the normal vector <inline-formula> <tex-math notation="LaTeX">$\overline n$ </tex-math></inline-formula> of the trajectory point, and the B-spline curve was used for interpolation to the offset trajectory. The improved non-dominated sorting genetic algorithm (INSGA-&#x00CF;) was adopted to solve the spraying trajectory with time, energy, and smoothness as the objectives. A normalized weight function was established that treated the three objectives with equal importance to optimize the solutions. Furthermore, a simulation to optimize the glue spray trajectory and glue spraying experiments were conducted on the sidewall of a shoe sole with a size of 41. As revealed in the results, provided that energy and smoothness are ensured, the proposed model can spray glue on the sidewall of the footwear sole uniformly within 7.27 s, no glue overflow and leakage phenomenon, and the spraying effect is uniform, peeling strength is more than 2.5Kgf/cm, greater than the process requirements of the index, and solved the bottleneck of shoe sole spraying.https://ieeexplore.ieee.org/document/10177155/Multivariable spray torch modelglue spraying on soletrajectory optimizationsidewall of solepeeling strength
spellingShingle Zhang Hao
Meng Zhuo
Chen Yujie
Sun Yize
Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
IEEE Access
Multivariable spray torch model
glue spraying on sole
trajectory optimization
sidewall of sole
peeling strength
title Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
title_full Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
title_fullStr Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
title_full_unstemmed Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
title_short Trajectory Optimization of Glue Spraying on Athletic Footwear Sole Based on Multivariable Spray Torch Model
title_sort trajectory optimization of glue spraying on athletic footwear sole based on multivariable spray torch model
topic Multivariable spray torch model
glue spraying on sole
trajectory optimization
sidewall of sole
peeling strength
url https://ieeexplore.ieee.org/document/10177155/
work_keys_str_mv AT zhanghao trajectoryoptimizationofgluesprayingonathleticfootwearsolebasedonmultivariablespraytorchmodel
AT mengzhuo trajectoryoptimizationofgluesprayingonathleticfootwearsolebasedonmultivariablespraytorchmodel
AT chenyujie trajectoryoptimizationofgluesprayingonathleticfootwearsolebasedonmultivariablespraytorchmodel
AT sunyize trajectoryoptimizationofgluesprayingonathleticfootwearsolebasedonmultivariablespraytorchmodel