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A multimodal pedagogical approach to teaching electromagnetics 电磁学教学的多模式教学法
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-06 DOI: 10.1002/cae.22758
Waseem Sheikh

Electromagnetics is a core course in the undergraduate electrical engineering curriculum that entails the study of electric and magnetic fields. Students, usually, perceive it as a challenging course since it requires them to build mental models of the spatial and time-varying electric and magnetic fields that cannot be seen by the naked eye. Moreover, the mathematics used in this subject is quite complex and abstract and can further compound the students' difficulties in connecting abstract math with real-life industry applications. To address these challenges, the author designed an undergraduate electromagentics course, which utilized certain pedagogical techniques to enhance the learning experience of the students. These pedagogies include extensive usage of MATLAB simulations, animations, and videos during the course that helps students visualize and conceptualize abstract concepts, usage of a comprehensive course-wide equation sheet, and highlighting the connection of the theory with real-life applications and industry jobs. This paper presents some of the simulations designed by the author as part of this course. Moreover, the equation sheet is also reproduced and access to its � � L� � A� � T� � E� � X $L,{scriptstyle A},T,E,X$ source is provided for the benefit of other instructors and students. The paper also presents results from the end-of-semester students' survey to measure the efficacy of these pedagogical techniques.

电磁学是电气工程本科课程的一门核心课程,涉及电场和磁场的研究。学生通常认为这是一门具有挑战性的课程,因为它要求学生建立肉眼无法看到的空间和时间变化的电场和磁场的心智模型。此外,这门学科所使用的数学相当复杂和抽象,会进一步加剧学生将抽象数学与现实生活中的行业应用联系起来的困难。为了应对这些挑战,作者设计了一门本科生电动力学课程,利用某些教学技巧来增强学生的学习体验。这些教学方法包括:在课程中广泛使用 MATLAB 仿真、动画和视频,帮助学生将抽象概念形象化和概念化;使用全课程综合方程表;强调理论与实际应用和行业工作的联系。本文介绍了作者在该课程中设计的一些模拟。此外,本文还复制了方程表,并提供了其源代码,供其他教师和学生参考。本文还介绍了学期末学生调查的结果,以衡量这些教学技巧的效果。
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引用次数: 0
Teaching design and implementation of traffic system simulation course based on a computer virtual reality software under the background of engineering education 工程教育背景下基于计算机虚拟现实软件的交通系统仿真课程的教学设计与实施
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-02 DOI: 10.1002/cae.22769
Ying-Ying Liu, Dan-Ping Wang, Jing Gu, Yuan-Fang Fu

The further reform and development of engineering education courses can help improve the teaching quality of higher education institutions, implement the fundamental task of talent cultivation, and provide important support and channels for cultivating high-quality and supportive engineering technical talents. The traffic system simulation course is an applied science closely related to engineering technology. It mainly cultivates senior engineering technical talents engaged in research and development of transportation engineering, analysis of road traffic characteristics, and transportation planning and design. Considering the characteristics of the traffic system simulation course, this study puts forward the course teaching design based on computer virtual reality software. Combined with the training objectives of applied talents in the traffic system simulation course, this study focuses on how to reform the teaching content and teaching mode with the help of Vissim computer simulation software. The course teaching design refines and optimizes the teaching content by the use of computer software. The use of Vissim software in the course enriches the teaching content and methods and stimulates students' interest in learning. Through the guidance of active exploration and self-directed learning for students, the traffic system simulation course reform has created a more positive and effective learning environment for students, which helps to cultivate their exploratory spirit and innovative ability. The implementation of the course teaching reform has gradually improved students' learning initiative and ability to master course content, as well as their practical problem-solving abilities. Good teaching results have been achieved.

进一步改革和发展工程教育课程,有利于提高高等学校的教学质量,落实人才培养的根本任务,为培养高素质、支撑型工程技术人才提供重要的支撑和渠道。交通系统仿真课程是一门与工程技术密切相关的应用科学。主要培养从事交通工程研究与开发、道路交通特性分析、交通规划与设计的高级工程技术人才。考虑到交通系统仿真课程的特点,本研究提出了基于计算机虚拟现实软件的课程教学设计。结合交通系统仿真课程应用型人才的培养目标,本研究重点探讨了如何借助 Vissim 计算机仿真软件改革教学内容和教学模式。课程教学设计借助计算机软件对教学内容进行了细化和优化。在课程中使用 Vissim 软件,丰富了教学内容和方法,激发了学生的学习兴趣。交通系统仿真课程改革通过引导学生主动探索、自主学习,为学生创造了更加积极有效的学习环境,有利于培养学生的探索精神和创新能力。课程教学改革的实施,逐步提高了学生学习的主动性和掌握课程内容的能力,以及解决实际问题的能力。取得了良好的教学效果。
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引用次数: 0
ProgEdu4Web: An automated assessment tool for motivating the learning of web programming course ProgEdu4Web:激励网络编程课程学习的自动评估工具
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-28 DOI: 10.1002/cae.22770
Hoang-Thanh Duong, Hsi-Min Chen

The expanding software industry has increased the demand for proficient programming professionals. However, more than technical expertise is needed for successful software development; code quality assurance and effective teamwork are also indispensable. Unfortunately, recent graduates often exhibit deficiencies in programming, code quality assurance, and teamwork skills, highlighting the need for improvements in these areas. In response to these challenges, this study presents ProgEdu4Web, an innovative Automated Programming Assessment System designed to evaluate code quality and teamwork proficiency in web programming. The system integrates automatic source code evaluation tools for static code analysis, ensuring timely feedback on coding quality issues. To assess the effectiveness of ProgEdu4Web, a questionnaire and hypothesis model was employed, surveying a cohort of 111 students enrolled in web programming classes. The study's findings demonstrate that the system significantly alleviated instructor workload while motivating students to enhance their web programming with good code quality and teamwork abilities.

不断扩大的软件产业增加了对精通编程专业人员的需求。然而,成功的软件开发不仅需要专业技术,代码质量保证和有效的团队合作也不可或缺。遗憾的是,应届毕业生往往在编程、代码质量保证和团队合作技能方面表现出不足,这凸显了在这些领域进行改进的必要性。为应对这些挑战,本研究提出了创新的自动编程评估系统 ProgEdu4Web,旨在评估网络编程中的代码质量和团队合作能力。该系统集成了用于静态代码分析的自动源代码评估工具,确保及时反馈编码质量问题。为了评估 ProgEdu4Web 的有效性,我们采用了问卷调查和假设模型,对 111 名网络编程班学生进行了调查。研究结果表明,该系统大大减轻了教师的工作量,同时激励学生以良好的代码质量和团队合作能力提高网络编程水平。
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引用次数: 0
Predictive modeling of on-time graduation in computing engineering programs: A case study from Northern Chile 计算机工程专业按时毕业的预测模型:智利北部案例研究
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-26 DOI: 10.1002/cae.22767
Aldo Quelopana, Brian Keith, Ricardo Pizarro

In the ever-evolving landscape of 21st-century education, this research seeks to understand the challenges of on-time graduation for students in two related computing majors. In particular, we focus on the Universidad Católica del Norte computing engineering programs in Chile, specifically the “Computing and Informatics Civil Engineering” (ICCI) and “Computing and Informatics Execution Engineering” (IECI) programs. We developed a machine-learning-based model using random forests to predict delays in submissions of the final report of graduation projects, the key step in the graduation pipeline of the analyzed students. We had access to a data set comprised of 209 students in the period from 2013 to 2017, out of these students, only 111 completed all their graduation requirements. Thus, we focused on this subset of students for the analysis. Our analyses of results indicate that individual advisors minimally contribute to predicting timely or late submissions, emphasizing the need for a holistic approach. In contrast, the specific major, graduation modality, and time in the program play crucial roles, with GPA emerging as the most influential factor (24.06%). Notably, the “Professional Work” modality exhibits a moderate positive correlation with late submissions, contextualized by students' employment commitments. The study's predictive model offers actionable insights for educators and administrators, identifying at-risk students and advocating for personalized support strategies. This research contributes to the ongoing dialogue on enhancing educational outcomes by integrating data-driven approaches tailored to diverse student profiles.

在 21 世纪教育不断发展的背景下,本研究试图了解两个相关计算机专业的学生在按时毕业方面所面临的挑战。我们特别关注智利北天主教大学(Universidad Católica del Norte)的计算工程专业,尤其是 "计算与信息学土木工程"(ICCI)和 "计算与信息学执行工程"(IECI)专业。我们使用随机森林开发了一个基于机器学习的模型,用于预测毕业项目最终报告提交的延迟,这是被分析学生毕业过程中的关键步骤。我们获得了 2013 年至 2017 年期间 209 名学生的数据集,其中只有 111 名学生完成了所有毕业要求。因此,我们重点对这部分学生进行了分析。我们的分析结果表明,个别指导老师对预测及时提交或延迟提交的贡献微乎其微,这强调了采用整体方法的必要性。相比之下,具体专业、毕业方式和在读时间则起着至关重要的作用,而 GPA 则是影响最大的因素(24.06%)。值得注意的是,"专业工作 "模式与逾期提交呈中度正相关,这与学生的就业承诺有关。该研究的预测模型为教育工作者和管理者提供了可操作的见解,有助于识别高危学生并倡导个性化的支持策略。这项研究为正在进行的关于通过整合数据驱动的方法来提高教育成果的对话做出了贡献。
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引用次数: 0
Construction of a virtual simulation practical teaching system for intelligent manufacturing under the background of new engineering 新工科背景下智能制造虚拟仿真实践教学系统的构建
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-26 DOI: 10.1002/cae.22768
Yuqin Wang, Yang Liu

To adapt to the new direction of engineering education reform in China under the background of new engineering, and to promote the transformation and upgrading of intelligent manufacturing professionals, a virtual simulation practice teaching system based on Internet technology is constructed. Relying on “online + offline” resources, experimental modules are designed, a course resource library is built, a digital cloud platform is developed, and a “One Body, Two Wings” virtual simulation teaching and training system is established. Practice has shown that the virtual simulation system has the advantages of immersion, interaction, imagination, and reality, which can meet the basic needs of users and provide a safe and immersive experimental operation experience. The comparative data on practical effectiveness shows that virtual simulation teaching has significantly improved students' theoretical knowledge, practical skills, and innovative ability, making graduates highly desirable by enterprises. The virtual simulation system not only enhances user experience, but also improves students' learning effect, professional cognitive ability, and professional practice ability. The system provides strong technical support for the cultivation of intelligent manufacturing professionals, and is an efficient and practical tool in the field of teaching and training, with broad application prospects.

为适应新工科背景下我国工程教育改革的新方向,促进智能制造专业转型升级,构建基于互联网技术的虚拟仿真实践教学体系。依托 "线上+线下 "资源,设计实验模块,建设课程资源库,开发数字化云平台,建立 "一体两翼 "虚拟仿真教学实训体系。实践表明,虚拟仿真系统具有沉浸性、交互性、想象性、真实性等优势,能够满足用户的基本需求,提供安全、身临其境的实验操作体验。实践效果对比数据表明,虚拟仿真教学显著提高了学生的理论知识、实践技能和创新能力,毕业生深受企业欢迎。虚拟仿真系统不仅增强了用户体验,还提高了学生的学习效果、专业认知能力和专业实践能力。该系统为智能制造专业人才培养提供了强有力的技术支撑,是教学实训领域高效实用的工具,具有广阔的应用前景。
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引用次数: 0
Development of a MATLAB-based graphical user interface to illustrate Coulomb's law and Gauss's law 开发基于 MATLAB 的图形用户界面,以说明库仑定律和高斯定律
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-24 DOI: 10.1002/cae.22759
Xin Yi Tan, Kheong Sann Chan, Soo Yong Lim

Coulomb's law and Gauss's law are two fundamental laws in electrostatics that involve electric charges and electric fields. These concepts that are not visible physically in real life can be challenging for students to understand, especially when it involves complex charge distributions. This paper presents a MATLAB-based graphical user interface (GUI) to visualise the concept of Coulomb's law and Gauss's law as well as a serious snake game to reinforce users' knowledge. This MATLAB GUI features a diverse range of 3-dimensional (3D) visualisations illustrating electric field attributes such as electric force, charge distribution and electric flux. These visualisations dynamically adapt to user-defined parameters, offering a rich and varied exploration of the electric field's characteristics without confining the scope to a specific count of models. In Coulomb's law section, the GUI plots the electric forces in 3-D for dipole, three-point charges, and unlimited charge. The Gauss's law section consists of windows for illustration of the fundamentals of Gauss's law for the electric field, and the illustration for the application of Gauss's law in finding the electric field for a point charge, infinite line charge and infinite plane charge. The serious snake game developed in this work allows students to engage in quizzes related to Coulomb's law and Gauss's law to serve as a tool for reinforcing their learning outcomes. The MATLAB-based GUI was chosen as the platform due to its excellent visualisation capabilities, ease of programming and capability to act as a powerful tool to enhance the learning of Coulomb's law and Gauss's law for students.

库仑定律和高斯定律是静电学中涉及电荷和电场的两个基本定律。这些概念在现实生活中并不可见,对学生来说理解起来有一定难度,尤其是涉及复杂的电荷分布时。本文介绍了一个基于 MATLAB 的图形用户界面(GUI),用于将库仑定律和高斯定律的概念可视化,以及一个严肃的蛇形游戏,以巩固用户的知识。该 MATLAB 图形用户界面具有各种三维(3D)可视化效果,可展示电场属性,如电场力、电荷分布和电通量。这些可视化效果可根据用户定义的参数进行动态调整,提供丰富多样的电场特性探索,而不会将范围局限于特定的模型数量。在库仑定律部分,图形用户界面绘制了偶极子、三点电荷和无限电荷的三维电场力图。高斯定律部分包括说明电场高斯定律基本原理的窗口,以及应用高斯定律求得点电荷、无限线电荷和无限面电荷电场的说明窗口。本作品中开发的严肃蛇形游戏允许学生参与与库仑定律和高斯定律相关的测验,作为巩固学习成果的工具。之所以选择基于 MATLAB 的图形用户界面作为平台,是因为它具有出色的可视化功能,易于编程,而且可以作为一种强大的工具,加强学生对库仑定律和高斯定律的学习。
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引用次数: 0
Beyond analytics: Using computer-aided methods in educational research to extend qualitative data analysis 超越分析:在教育研究中使用计算机辅助方法扩展定性数据分析
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-23 DOI: 10.1002/cae.22749
Camilo Vieira, Juan D. Ortega-Alvarez, Alejandra J. Magana, Mireille Boutin

This study proposes and demonstrates how computer-aided methods can be used to extend qualitative data analysis by quantifying qualitative data, and then through exploration, categorization, grouping, and validation. Computer-aided approaches to inquiry have gained important ground in educational research, mostly through data analytics and large data set processing. We argue that qualitative data analysis methods can also be supported and extended by computer-aided methods. In particular, we posit that computing capacities rationally applied can expand the innate human ability to recognize patterns and group qualitative information based on similarities. We propose a principled approach to using machine learning in qualitative education research based on the three interrelated elements of the assessment triangle: cognition, observation, and interpretation. Through the lens of the assessment triangle, the study presents three examples of qualitative studies in engineering education that have used computer-aided methods for visualization and grouping. The first study focuses on characterizing students' written explanations of programming code, using tile plots and hierarchical clustering with binary distances to identify the different approaches that students used to self-explain. The second study looks into students' modeling and simulation process and elicits the types of knowledge that they used in each step through a think-aloud protocol. For this purpose, we used a bubble plot and a k-means clustering algorithm. The third and final study explores engineering faculty's conceptions of teaching, using data from semi-structured interviews. We grouped these conceptions based on coding similarities, using Jaccard's similarity coefficient, and visualized them using a treemap. We conclude this manuscript by discussing some implications for engineering education qualitative research.

本研究提出并展示了如何利用计算机辅助方法,通过量化定性数据,然后通过探索、分类、分组和验证,扩展定性数据分析。计算机辅助探究方法已在教育研究中占据重要地位,主要是通过数据分析和大型数据集处理。我们认为,定性数据分析方法也可以得到计算机辅助方法的支持和扩展。特别是,我们认为合理应用计算机能力可以扩展人类与生俱来的识别模式和根据相似性对定性信息进行分组的能力。我们提出了在定性教育研究中使用机器学习的原则性方法,其基础是评估三角的三个相互关联的要素:认知、观察和解释。通过评估三角的视角,本研究介绍了工程教育领域使用计算机辅助方法进行可视化和分组的三个定性研究实例。第一项研究侧重于描述学生对编程代码的书面解释,使用瓦片图和二元距离分层聚类来识别学生用于自我解释的不同方法。第二项研究考察了学生的建模和仿真过程,并通过 "思考-朗读 "协议了解他们在每个步骤中使用的知识类型。为此,我们使用了气泡图和 k-means 聚类算法。第三项也是最后一项研究利用半结构式访谈的数据,探讨了工程学院教师的教学理念。我们根据编码的相似性,使用 Jaccard 相似系数对这些概念进行了分组,并使用树状图将其可视化。最后,我们讨论了本手稿对工程教育定性研究的一些启示。
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引用次数: 0
LIZGAIRO: Improving learning experience through Scrum in telecommunications engineering curriculum LIZGAIRO:在电信工程课程中通过 Scrum 改善学习体验
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-21 DOI: 10.1002/cae.22766
Cristina López-Bravo, Juan José López-Escobar, Pablo Fondo-Ferreiro, Miguel Rodríguez Pérez, Felipe Gil-Castiñeira

This article presents the LIZGAIRO project, which aims to promote students’ understanding of fundamental engineering concepts and their ability to apply them to solve real-world problems through project-based learning. The project was run over a 3-year period, with students from the telecommunication degree at the Universidade de Vigo. The Scrum framework, an agile project management framework, was used to promote effective teamwork, active participation and ownership among students. The article describes the effectiveness of the project and its impact on students' learning success, delivered project quality and overall skills acquisition. After implementing LIZGAIRO, both teachers and students reported a positive impact on student learning, with high levels of essential skill acquisition and project quality. Although learning the framework fundamentals takes time for both teachers and students, the adaptability of Scrum and the use of continuous assessment were found to be beneficial.

本文介绍了 LIZGAIRO 项目,该项目旨在通过基于项目的学习,促进学生对基本工程概念的理解,并提高他们应用这些概念解决实际问题的能力。该项目为期三年,由维戈大学电信专业的学生参与。Scrum 框架是一种敏捷项目管理框架,用于促进学生之间有效的团队合作、积极参与和主人翁精神。文章介绍了该项目的成效及其对学生学习成功、交付项目质量和整体技能掌握的影响。在实施 LIZGAIRO 项目后,教师和学生都表示对学生的学习产生了积极影响,基本技能的掌握和项目质量都达到了较高水平。虽然学习框架基础知识对教师和学生来说都需要时间,但 Scrum 的适应性和持续评估的使用被认为是有益的。
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引用次数: 0
Risk-based student performance prediction model for engineering courses 基于风险的工程学课程学生成绩预测模型
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-15 DOI: 10.1002/cae.22757
Verónica J. Abuchar, Carlos A. Arteta, Jose L. De La Hoz, Camilo Vieira

High academic failure and dropout rates in engineering courses are significant worldwide concerns attributed to various factors, with academic performance being a critical variable. This article provides a methodology to estimate the performance risk of students in engineering schools. Risk analysis is a strategy to evaluate academic success, which provides a set of methods to analyze, understand, and predict student outcomes before enrolling in specific majors or challenging college courses. This article develops a methodology to estimate fragility curves for students entering an engineering course. The fragility function concept, borrowed from the earthquake engineering field, estimates the likelihood of success in a course, given relevant student metadata, such as the grade point average, thus comprehensively addressing student performance variability. A student academic success prediction model enables instructional designers to make informed decisions. For example, fragility curves can help achieve two goals: (i) assessing the population at risk for a course to take actions to improve student success rates and (ii) assessing a course's relative difficulty based on its fragility function parameters. We demonstrate this methodology through a case study comparing the relative difficulty of two engineering courses, Statics and Solid Mechanics, at a university in Colombia. Given that Statics serves as a prerequisite for Solid Mechanics, deficiencies in the former can significantly impact student performance in the latter. The case study results reveal that Solid Mechanics poses a higher risk of academic failure than Statics, underscoring the importance of a strong foundation in prerequisite courses.

工程学课程中的高学业失败率和辍学率是全世界关注的重要问题,其原因是多方面的, 其中学业成绩是一个关键变量。本文提供了一种估算工科院校学生成绩风险的方法。风险分析是一种评估学业成功与否的策略,它提供了一套在学生进入特定专业或学习具有挑战性的大学课程之前分析、了解和预测学生结果的方法。本文开发了一种方法,用于估算进入工程课程学习的学生的脆性曲线。脆性函数的概念借鉴自地震工程领域,它根据相关的学生元数据(如平均学分绩点)来估算课程成功的可能性,从而全面解决学生成绩的可变性问题。学生学业成功预测模型可以帮助教学设计者做出明智的决策。例如,脆弱性曲线可以帮助实现两个目标:(i) 评估一门课程的高危人群,以便采取行动提高学生的成功率;(ii) 根据脆性函数参数评估一门课程的相对难度。我们通过一个案例研究,比较了哥伦比亚一所大学的两门工程学课程《静力学》和《固体力学》的相对难度,从而展示了这一方法。鉴于静力学是固体力学的先修课程,前者的不足会严重影响学生在后者中的表现。案例研究结果表明,与《静力学》相比,《实体力学》造成学业失败的风险更高,这凸显了先修课程打下坚实基础的重要性。
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引用次数: 0
An open-source data acquisition platform for teaching vibration analysis 用于振动分析教学的开源数据采集平台
IF 2 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-14 DOI: 10.1002/cae.22753
Luis G. Trujillo-Franco, Hugo F. Abundis-Fong, Juan C. Marin-Soriano

The actual open-source hardware and software tools offer a rich set of options for developing didactic tools to improve the teaching–learning process of various areas of engineering. Using low-cost sensors, in conjunction with free software development tools, allows the creation of educational interfaces and platforms offering very acceptable performance and precision that help the student to become familiar with the basic principles that govern professional equipment. In this work, we propose a low-cost system for data acquisition specially designed to improve the learning experience of experimental mechanics. To achieve this purpose, we use open-source software and hardware tools to create a piece of educational equipment that is fully configurable for different sensors. We present the experimental results of two case studies: the vibration analysis of a rotor-bearing system using acceleration signals and a free-vibration study using a xylophone and a low-cost microphone. The proposed platform helps authors to complement a 4-month course named Vibration, intended for mechanical engineering students. The students who participated in the study demonstrated an improvement in their comprehension of vibration theory and modal analysis using the finite element technique. The feedback from students indicates that 84% of the participants are highly motivated to learn more about vibrations and experimental mechanics.

实际的开放源码硬件和软件工具为开发教学工具提供了丰富的选择,可以改善工程学各个领域的教学过程。利用低成本传感器和免费的软件开发工具,可以创建教学界面和平台,提供非常可接受的性能和精度,帮助学生熟悉专业设备的基本原理。在这项工作中,我们提出了一种低成本数据采集系统,专门用于改善实验力学的学习体验。为实现这一目的,我们使用开源软件和硬件工具创建了一个可完全配置不同传感器的教学设备。我们介绍了两个案例研究的实验结果:使用加速度信号对转子轴承系统进行振动分析,以及使用木琴和低成本麦克风进行自由振动研究。所提议的平台可帮助作者补充为机械工程专业学生开设的为期 4 个月的 "振动 "课程。参与研究的学生对振动理论和使用有限元技术进行模态分析的理解能力有所提高。学生们的反馈表明,84% 的参与者都有很强的动力去学习更多有关振动和实验力学的知识。
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