The theory of scaled electromechanics

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
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引用次数: 0

Abstract

A new scaling theory called finite similitude has appeared in the open literature for the scaling of physical systems. The theory is founded on the metaphysical concept of space scaling and consequently can in principle be applied to all physics. With regard to the application of the theory to multi-physics however, an obstacle is dissimilar mathematical formulations, that are preferred and applied in practice. This paper looks to combine electrical and mechanical physics under the rules of the scaling theory for the analysis of scaled electromechanical systems. To facilitate this the physics of electromechanics is described using transport equations on a projected space termed the scaling space. It is shown that this approach unifies the mechanical and electrical descriptions and allows the scaling theory to be applied and for scaling identities to be established. Additionally, on confirming that the scaling space possesses all the attributes of a real physical space (despite being a mere projection), mathematical modelling (to great advantage) is performed directly and integrated with the scaling theory. To showcase the concepts, mathematical models for previously researched electromechanical systems are directly analysed in the new scaling space. It is demonstrated how such models automatically account for scale dependencies in the electromechanical systems they represent. The huge potential of the new approach is revealed providing the means for formulating (for the first time) realistic representative scaled-mathematical models.

比例机电理论
公开文献中出现了一种新的缩放理论,称为 "有限相似性"(finite similitude),用于物理系统的缩放。该理论以 "有限相似性 "这一形而上学概念为基础,因此原则上可适用于所有物理学。然而,在将该理论应用于多物理场方面,一个障碍是不同的数学公式,而这些数学公式在实践中被优先考虑和应用。本文希望在缩放理论的规则下,将电子物理学和机械物理学结合起来,对缩放机电系统进行分析。为了便于分析,机电物理学在一个称为缩放空间的投影空间上使用传输方程进行描述。结果表明,这种方法统一了机械和电气描述,允许应用缩放理论并建立缩放特性。此外,在确认缩放空间具有真实物理空间的所有属性(尽管只是一个投影)后,数学建模(具有极大优势)可直接进行,并与缩放理论相结合。为了展示这些概念,我们在新的缩放空间中直接分析了以前研究过的机电系统的数学模型。模型展示了这些模型是如何自动考虑其所代表的机电系统的比例依赖性的。揭示了新方法的巨大潜力,为制定(首次)具有现实代表性的缩放数学模型提供了方法。
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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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