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使用白金汉π定理对超声微注塑成型过程进行建模。

Modeling the Ultrasonic Micro-Injection Molding Process Using the Buckingham Pi Theorem.

作者信息

Salazar-Meza Marco, Martínez-Romero Oscar, Reséndiz-Hernández José Emiliano, Olvera-Trejo Daniel, Estrada-Díaz Jorge Alfredo, Ramírez-Herrera Claudia Angélica, Elías-Zúñiga Alex

机构信息

Institute of Advanced Materials for Sustainable Manufacturing, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey 64849, NL, Mexico.

出版信息

Polymers (Basel). 2023 Sep 15;15(18):3779. doi: 10.3390/polym15183779.

DOI:10.3390/polym15183779
PMID:37765633
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10534782/
Abstract

Dimensional analysis through the Buckingham Pi theorem was confirmed as an efficient mathematical tool to model the otherwise non-linear high order ultrasonic micro-injection molding process (UMIM). Several combinations of processing conditions were evaluated to obtain experimental measurements and validate the derived equations. UMIM processing parameters, output variable energy consumption, and final specimen's Young modulus were arranged in dimensionless groups and formulated as functional relationships, which lead to dimensionless equations that predict output variables as a function of the user-specified processing parameters and known material properties.

摘要

通过白金汉π定理进行的量纲分析被确认为一种有效的数学工具，可用于对原本非线性的高阶超声微注射成型工艺（UMIM）进行建模。评估了几种加工条件组合以获得实验测量结果并验证推导方程。将UMIM加工参数、输出变量能耗和最终试样的杨氏模量整理成无量纲组，并将其公式化为函数关系，从而得到无量纲方程，这些方程可根据用户指定的加工参数和已知材料特性预测输出变量。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/d66677247efd/polymers-15-03779-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/d8ace342d539/polymers-15-03779-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/ed981b9f7b6d/polymers-15-03779-g006.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/3892ae27b004/polymers-15-03779-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/d66677247efd/polymers-15-03779-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/42d52b387244/polymers-15-03779-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/4c11e9b960be/polymers-15-03779-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/1a48b54126d7/polymers-15-03779-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/dc35075c5108/polymers-15-03779-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/d8ace342d539/polymers-15-03779-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/ed981b9f7b6d/polymers-15-03779-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/54f1927b6869/polymers-15-03779-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/aa21535b63f6/polymers-15-03779-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/0e3c6abc11a3/polymers-15-03779-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/3892ae27b004/polymers-15-03779-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c0f/10534782/d66677247efd/polymers-15-03779-g011.jpg

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本文引用的文献

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Polymers (Basel). 2023 Jul 15;15(14):3049. doi: 10.3390/polym15143049.
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Polymer-Metal Interfacial Friction Characteristics under Ultrasonic Plasticizing Conditions: A United-Atom Molecular Dynamics Study.超声塑化条件下聚合物-金属界面摩擦特性的联合原子分子动力学研究。
Int J Mol Sci. 2022 Mar 4;23(5):2829. doi: 10.3390/ijms23052829.
3
Enhanced Mathematical Model for Producing Highly Dense Metallic Components through Selective Laser Melting.
用于通过选择性激光熔化生产高密度金属部件的增强数学模型。
Materials (Basel). 2021 Mar 23;14(6):1571. doi: 10.3390/ma14061571.
4
A Mathematical Dimensional Model for Predicting Bulk Density of Inconel 718 Parts Produced by Selective Laser Melting.一种用于预测选择性激光熔化制造的Inconel 718零件堆积密度的数学尺寸模型。
Materials (Basel). 2021 Jan 21;14(3):512. doi: 10.3390/ma14030512.
5
Investigation of the Mechanical Properties of Parts Fabricated with Ultrasonic Micro Injection Molding Process Using Polypropylene Recycled Material.使用聚丙烯回收材料通过超声微注塑成型工艺制造的零件的力学性能研究。
Polymers (Basel). 2020 Sep 7;12(9):2033. doi: 10.3390/polym12092033.
6
Evolution of Interfacial Friction Angle and Contact Area of Polymer Pellets during the Initial Stage of Ultrasonic Plasticization.超声塑化初始阶段聚合物颗粒界面摩擦角和接触面积的演变
Polymers (Basel). 2019 Dec 14;11(12):2103. doi: 10.3390/polym11122103.
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Ultrasonic moulding: Current state of the technology.超声成型：技术现状。
Ultrasonics. 2020 Mar;102:106038. doi: 10.1016/j.ultras.2019.106038. Epub 2019 Oct 5.
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Study on the Mechanism of Interfacial Friction Heating in Polymer Ultrasonic Plasticization Injection Molding Process.聚合物超声塑化注射成型过程中界面摩擦热机理研究
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Polymers (Basel). 2017 Jul 30;9(8):322. doi: 10.3390/polym9080322.