平面结构的温度场和热应力的有限元程序设计和计算

摘要在解决热应力问题时，如果弹性体几何形状或温度场比较复杂，求其解析解十分困难，同样的情况，如果用有限单元法，就十分方便。有限单元法已经成为工程数值模拟的有力工具，同时它也处于快速发展阶段，这就要求我们要较好的掌握有限单元法的基本原理和数值方法，以便能有效的利用现有的成果改进现有方法并发展新的数值方法以及计算程序。用有限元法解决问题时，为了使结果精确往往计算量会非常大，而计算机的大容量、高速率等特点正好解决了这一问题。所以本文主要的研究内容是用有限元原理编制计算机程序来解决平面结构的热应力问题，其中包括有限元计算的原理，程序编制的原理，最后用现有的有限元软件对结果进行验证。84694

毕业论文关键词热应力有限单元法计算机程序

毕业设计说明书外文摘要

Title Finite element program design and calculation of the temperature field and thermal stress of the planar structure

Abstract In solving the problem of thermal stress, if the elastic body geometry or temperature field is more complex, it is very difficult to find the analytical solution of the thermal stress。 In the same case, it is very convenient to use the finite element method。 Finite element method has become a powerful tool for engineering numerical simulation。 At the same time, it is also in the stage of rapid development, which requires us to to better grasp the basic principle and numerical method of finite element method, in order to effectively use the existing results improved existing methods and the development of new numerical methods and computer program。 When using the finite element method to solve the problem, in order to make the result accurate and often calculate the quantity will be very big, and the computer's large capacity, high speed and so on the characteristics just solved this problem。 So the main content of this paper is with the principle of finite element computer program to solve the plane structure thermal stress problem, including the principle of finite element calculation, programming principle。 Finally, the existing finite element software to verify the results。

Keywords Thermal stress finite element method computer program

1 引言 1

1。1 课题背景与选题意义 1

1。2 研究现状和研究意义 1

1。3 本文的研究内容 2

2 有限元原理 4

2。1 建模离散 4

2。2 单元分析 7

2。3 加载求解 12

3 有限元程序设计 16

3。1 刚度矩阵的存贮 16

3。2 线性代数方程组计算 16

4。 ANSYS模拟 20

结论 23

致谢 24

参考文献 25

附录A 源代码 26

1 引言

有限单元法是一种非常实用的数值分析的方法，它随着电子计算机技术的普及和发展在工程界得到了广泛的重视，有限单元法已经成为分析连续体的有力工具。平面结构的温度场和热应力的有限元程序设计和计算:http://www.youerw.com/wuli/lunwen_100693.html