使用 MathCAD 软件介绍有限元分析方法

Pub Date : 2023-12-14 DOI:10.46300/9109.2023.17.11
J. Králik, Jozef Bočkaj, J. Králik Jr.
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引用次数: 0

摘要

本文介绍了作者在一所大学使用 MathCAD 软件教授有限元法(FEM)的经验。随着 20 世纪下半叶计算工具的发展,以有限元法为基础的工程任务算法计算方法也得到了发展。这种方法对于确定桁架和框架结构在外部环境影响下的受力和变形非常有效。自动设计系统中的许多过程就像是在一个 "黑盒子 "中进行的,而验证所取得结果的过程则成为设计活动中最重要的阶段。如果不了解有限元的理论基础、物理和数学建模、验证程序和方法,结构设计就不可能安全可靠。在本文中,我们将介绍学生如何利用 MathCAD 软件熟悉有限元的理论基础和计算程序。MathCAD 可用作创建、组织和组合工程计算所有片段的载体。MathCAD 是一款开放式软件,可以使用其他程序的输入数据。
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Presentation of the FEM analysis methodology using MathCAD software
This paper presents the authors' experience with teaching the finite element method (FEM) at a university using the MathCAD software. With the development of computational tools in the second half of the 20th century, there was also the development of computational methods aimed at algorithmizing engineering tasks based on FEM. This method is very effective for determining the forces and deformations of truss and frame structures under the influence of the external environment. Many processes in the automatic design system take place as if in a "black box", and the process of verifying the achieved results becomes the most important stage in the design activity. Without knowing the theoretical foundations of FEM, physical and mathematical modelling, verification procedures and methods, the structure design cannot be safe and reliable. In this paper, we present one of the possibilities, how a student can familiarize himself with the theoretical foundations of FEM and calculation procedures using the MathCAD software. MathCAD can be used as a vehicle to create, organize, and assemble all the pieces of the engineering calculations. MathCAD is open software for using input data from other programs.
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