基于有限元分析的工程力学教学实践

Shang Wang, Xuelei Wang, Fei Peng
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引用次数: 1

摘要

高职院校学生数学计算能力较弱,影响了工程力学的教学质量。为了提高教学质量,研究小组提出了仿真计算与数学积分计算相结合的解决策略。本文从学生提出的一个典型问题入手,进行了教学实践。建立了有限元模型并在计算机上进行了仿真。通过模拟计算得到了Mises应力云图和数据,解决了学生的疑惑。这些视觉材料为学生理解工程力学的抽象概念提供了支持。然而,仿真只是描述了最终的结果,学生无法从有限元模型中得到具体的计算过程。随后,老师梳理了详细的积分计算过程,帮助学生了解棱镜的应变积累。积分计算结果为0.1143 mm,与仿真结果0.1123 mm非常接近。将有限元分析和微积分计算过程编入《工程力学》教材。随后,对一个35人的班级进行了教学实践。教学评价表明,教学质量有了明显提高。一方面,应力云图等数字材料具有可视化的特点,为学生理解复杂的力学概念提供了方便。另一方面,提高了学生的学习兴趣,课堂互动明显增加。该研究为解决工程力学教学中的复杂问题提供了一条新的途径,值得更多的学者予以重视和探索。
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Teaching Practice of Engineering Mechanics Based on Finite Element Analysis
The students in vocational colleges are weak in mathematical calculation, which affects the teaching quality of Engineering Mechanics. In order to improve teaching quality, the research team propose a solution strategy combining simulation calculation and mathematical integral calculation. This article carried on the teaching practice starting from a typical problem raised by the students. The finite element model was established and simulated on a computer. The Mises stress nephogram and date were obtained by the simulation calculation, which solved the students’ doubts. These visual materials provide support for the students to understand the abstract concepts of Engineering Mechanics. However, the simulation only described the final results and the students could not get the specific calculation process from the finite element model. Subsequently, the detailed integral calculation process was sorted out by the teachers, which helped the students understand the strain accumulation of the prism. The result of integral calculation is 0.1143 mm, which is very close to the result of the simulation (0.1123 mm). The finite element analysis and calculus calculation process were sorted into the teaching materials of Engineering Mechanics. Subsequently, a teaching practice was applied to a class of 35 students. Teaching evaluation shows that teaching quality has been significantly improved. On the one hand, digital materials such as stress nephogram have the characteristics of visualization, which provides convenience for students to understand complex mechanics concepts. On the other hand, students’ interest in learning has been enhanced, and classroom interaction has increased significantly. This study provides a new way to answer complex questions in Engineering Mechanics teaching, which should be paid more attention and explored by more scholars.
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