Mathematical Model of the Electronic Cam in Terms of Application in a Dosing Machine

IF 2.8 4区工程技术 Q2 ENGINEERING, CHEMICAL

Processes Pub Date : 2024-09-05 DOI:10.3390/pr12091909

Karol Wójkowski, Krzysztof Talaśka, Dominik Wilczyński

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引用次数: 0

Abstract

The article analyses the use of servomotors in the control systems of industrial equipment, focusing on the alternative offered by position and speed synchronization in relation to classical mechanical mechanisms. A complete methodology is presented to determine the dynamic parameters of the adopted kinematic system using electronic motion profiles. The results obtained constitute a mathematical model of the execution chain and an analysis of the basic quantities for linear motion, supported by actual measurements of the drive parameters. The merit of the article is to show that the servomotors can significantly simplify the design of the device, make it more flexible in adaptation to different assortments, and allow integration with systems predicting the technical condition of the device. The analysis of the results revealed significant differences in the constant rotational speed of the servomotor, which do not align with previous findings. The results suggest that changing the angular working range of the assembly to the range (205°;270°) could significantly affect the generated linear acceleration, reducing the risk of stalling. The calculations and graphs conducted allowed for the accurate representation of the actual mechanical system, considering its dynamic characteristics. The key conclusion is that precise mathematical modelling is essential to ensure the stability and durability of engineering components.

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电子凸轮在定量给料机中应用的数学模型

文章分析了伺服电机在工业设备控制系统中的应用，重点是位置和速度同步与传统机械机构相比所提供的替代方案。文章提出了一套完整的方法，利用电子运动曲线确定所采用运动系统的动态参数。获得的结果构成了执行链的数学模型和线性运动基本量分析，并辅以驱动参数的实际测量。文章的优点在于表明伺服电机可以大大简化设备的设计，使其更灵活地适应不同的组合，并允许与预测设备技术状况的系统集成。对结果的分析表明，伺服电机的恒定转速存在显著差异，这与之前的研究结果并不一致。结果表明，将组件的角度工作范围改为（205°;270°）可显著影响产生的线性加速度，降低失速风险。考虑到实际机械系统的动态特性，所进行的计算和绘制的图表能够准确地反映该系统。主要结论是，精确的数学建模对于确保工程组件的稳定性和耐用性至关重要。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Processes Chemical Engineering-Bioengineering

CiteScore

5.10

自引率

11.40%

发文量

2239

审稿时长

14.11 days

期刊介绍： Processes (ISSN 2227-9717) provides an advanced forum for process related research in chemistry, biology and allied engineering fields. The journal publishes regular research papers, communications, letters, short notes and reviews. Our aim is to encourage researchers to publish their experimental, theoretical and computational results in as much detail as necessary. There is no restriction on paper length or number of figures and tables.