提高结构分析效率:先进子建模技术的全面回顾与实验验证,介绍子建模-密度-形状-元素去除(S-D-S-ER)方法

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Ibrahim T. Teke, Ahmet H. Ertas
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引用次数: 0

摘要

目的 本文旨在研究和说明在拓扑优化和应力分析的有限元建模中如何有效利用子建模。研究的目的是证明子建模--尤其是一维方法--如何可靠有效地为具有挑战性的结构问题提供理想的解决方案。本文旨在通过研究悬臂梁案例和使用梁公式,证明子建模在获得应力分析收敛解和优化几何形状以提高疲劳寿命方面的实用性。为了保证优化过程的精确性和可靠性,还将通过实验测试(如三点弯曲测试和三维打印)对所开发的方法进行验证。利用三维有限元模型,一维子建模方法在最后一步得到进一步验证,显示出与挠度计算实验数据的紧密相关性。他们选择了一个悬臂梁案例作为试验对象,通过子建模演示应力分析和拓扑优化。他们开发了一种一维子建模方法,以简化优化过程并确保结果的有效性。作者利用梁配方来优化和验证子建模方法的结果。他们对优化后的模型进行了三维打印,并对其进行了三点弯曲测试,以确认所开发方法的准确性。他们采用三维有限元模型进行子建模,以验证一维方法,重点关注用于挠度计算的特定有限元,并对结果进行了分析,证明理论模型与实验数据之间具有很强的相关性,展示了子建模方法在高效、准确地实现最优解方面的有效性:1.事实证明,在有限元建模中使用子建模,特别是一维子建模方法,可以更高效、更准确地获得最优解。2.对悬臂梁的研究表明,通过子建模成功地进行了应力分析和拓扑优化,从而优化了几何形状,提高了疲劳寿命。3.3. 利用梁公式优化和验证了子建模方法的结果,从而成功地进行了三维打印,并通过三点弯曲测试对优化后的模型进行了测试。4.实验结果证实了所开发的子建模方法在简化优化过程中的准确性和有效性。5.使用三维有限元模型进行子建模进一步验证了一维方法,在挠度计算中,特定的有限元与实验数据显示出很强的相关性。总之,研究结果凸显了子建模技术在有限元建模、应力分析和优化过程中实现最优解和验证结果的有效性。 原创性/价值 本文的原创性和价值在于其在有限元建模中利用子建模技术进行结构分析和优化的创新方法。通过将重点放在减少有限元模型和通过子建模创建更小、更易于管理的模型上,论文为设计人员提供了一种更高效、更准确的方法,以实现复杂问题的最优解决方案。研究使用悬臂梁案例来演示应力分析和拓扑优化,展示了子建模在现实世界中的实际应用。一维子建模方法的开发,以及利用梁配方和三维打印进行实验验证,为研究增添了新的维度。此外,论文还整合了一维和三维子建模技术,用于挠度计算和验证,突出了研究的全面性和严谨性。有限元模型与实验数据之间的强相关性强调了所开发方法的可靠性和准确性。总之,本文的原创性和价值在于其对子建模技术的全面探索、在结构分析和优化中的实际应用以及通过实验测试的成功验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Enhancing structural analysis efficiency: a comprehensive review and experimental validation of advanced submodeling techniques, introducing the submodeling-density-shape-element removal (S-D-S-ER) method

Purpose

The paper's goal is to examine and illustrate the useful uses of submodeling in finite element modeling for topology optimization and stress analysis. The goal of the study is to demonstrate how submodeling – more especially, a 1D approach – can reliably and effectively produce ideal solutions for challenging structural issues. The paper aims to demonstrate the usefulness of submodeling in obtaining converged solutions for stress analysis and optimized geometry for improved fatigue life by studying a cantilever beam case and using beam formulations. In order to guarantee the precision and dependability of the optimization process, the developed approach will also be validated through experimental testing, such as 3-point bending tests and 3D printing. Using 3D finite element models, the 1D submodeling approach is further validated in the final step, showing a strong correlation with experimental data for deflection calculations.

Design/methodology/approach

The authors conducted a literature review to understand the existing research on submodeling and its practical applications in finite element modeling. They selected a cantilever beam case as a test subject to demonstrate stress analysis and topology optimization through submodeling. They developed a 1D submodeling approach to streamline the optimization process and ensure result validity. The authors utilized beam formulations to optimize and validate the outcomes of the submodeling approach. They 3D-printed the optimized models and subjected them to a 3-point bending test to confirm the accuracy of the developed approach. They employed 3D finite element models for submodeling to validate the 1D approach, focusing on specific finite elements for deflection calculations and analyzed the results to demonstrate a strong correlation between the theoretical models and experimental data, showcasing the effectiveness of the submodeling methodology in achieving optimal solutions efficiently and accurately.

Findings

The findings of the paper are as follows: 1. The use of submodeling, specifically a 1D submodeling approach, proved to be effective in achieving optimal solutions more efficiently and accurately in finite element modeling. 2. The study conducted on a cantilever beam case demonstrated successful stress analysis and topology optimization through submodeling, resulting in optimized geometry for enhanced fatigue life. 3. Beam formulations were utilized to optimize and validate the outcomes of the submodeling approach, leading to the successful 3D printing and testing of the optimized models through a 3-point bending test. 4. Experimental results confirmed the accuracy and validity of the developed submodeling approach in streamlining the optimization process. 5. The use of 3D finite element models for submodeling further validated the 1D approach, with specific finite elements showing a strong correlation with experimental data in deflection calculations. Overall, the findings highlight the effectiveness of submodeling techniques in achieving optimal solutions and validating results in finite element modeling, stress analysis and optimization processes.

Originality/value

The originality and value of the paper lie in its innovative approach to utilizing submodeling techniques in finite element modeling for structural analysis and optimization. By focusing on the reduction of finite element models and the creation of smaller, more manageable models through submodeling, the paper offers designers a more efficient and accurate way to achieve optimal solutions for complex problems. The study's use of a cantilever beam case to demonstrate stress analysis and topology optimization showcases the practical applications of submodeling in real-world scenarios. The development of a 1D submodeling approach, along with the utilization of beam formulations and 3D printing for experimental validation, adds a novel dimension to the research. Furthermore, the paper's integration of 1D and 3D submodeling techniques for deflection calculations and validation highlights the thoroughness and rigor of the study. The strong correlation between the finite element models and experimental data underscores the reliability and accuracy of the developed approach. Overall, the originality and value of this paper lie in its comprehensive exploration of submodeling techniques, its practical applications in structural analysis and optimization and its successful validation through experimental testing.

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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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