The analysis of scaled mechanical dynamic systems

IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL International Journal of Mechanical Sciences Pub Date : 2024-09-13 DOI:10.1016/j.ijmecsci.2024.109722
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Abstract

A new approach to scaled experimentation has appeared in the open literature bringing into existence a countably infinite number of similitude rules connecting multiple scaled experiments. The simplest rule (the zeroth-order rule) captures all what is possible with dimensional analysis but higher-order rules appear to necessitate investigations at multiple scales. The scaling theory finite similitude can however, be repurposed for the analysis of scaled models making it possible to relate models of two different sizes whilst automatically accounting for all scale effects present. The new approach to scaling analysis gives rise to additional systems of equations that are required to be solved and it is this aspect that is the main focus of this paper. It is shown through application of the new scaling-analysis approach to mechanical systems built from discrete elements (e.g., springs, lumped masses, dampers) how scale effects are directly represented. Scaling analysis under the finite-similitude framework is shown to be effective for connecting up scaled models but additionally dovetails with experimental approaches involving scaled experiments. Through application to mechanical systems the new formulation is shown to have practical value but also reveals how system-level scale effects can be handled efficiently. The approach provides a framework for the design and analysis of mechanical components that are required to operate over a range of sizes.

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按比例机械动力系统分析
公开文献中出现了一种新的比例实验方法,它带来了连接多个比例实验的可数无限多的相似性规则。最简单的规则(零阶规则)包含了维度分析的所有可能,但高阶规则似乎需要在多个尺度上进行研究。然而,缩放理论的有限相似性可以重新用于分析缩放模型,从而可以将两种不同尺寸的模型联系起来,同时自动考虑所有存在的尺度效应。缩放分析的新方法产生了需要求解的额外方程组,而这正是本文的重点。本文通过将新的缩放分析方法应用于由离散元件(如弹簧、整块质量、阻尼器)构建的机械系统,展示了如何直接表示尺度效应。精细模拟框架下的缩放分析不仅能有效连接缩放模型,还能与涉及缩放实验的实验方法相吻合。通过将新方法应用于机械系统,不仅证明了其实用价值,还揭示了如何有效处理系统级尺度效应。该方法为设计和分析需要在不同尺寸范围内工作的机械部件提供了一个框架。
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来源期刊
International Journal of Mechanical Sciences
International Journal of Mechanical Sciences 工程技术-工程:机械
CiteScore
12.80
自引率
17.80%
发文量
769
审稿时长
19 days
期刊介绍: The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering. The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture). Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content. In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.
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