Application of Finite Element Analysis in Aerospace Structures
Term Project
Q1.) Consider the two-dimensional heat conduction problem over a thin square plate with a square central hole. The temperature of outer and inner edges are prescribed as shown in Fig. 1. The conductance matrix is given as
Write a finite element program in Matlab that is able to solve the temperature field T (x, y) and evaluate the heat flux q(x, y). The code should use 4-node quadrilateral elements with full and reduced integration. Use the given coarse and fine meshes and graphically present and comment on your results. You should present temperature contour T (x, y) and heat flux contours qx(x, y), qy(x, y) in the report. Conduct the same analysis using Abaqus with fine mesh and compare both results.
Figure 1: Geometry and boundary conditions of Q1 and Q2
Q2.) Consider the previous problem as shown in Fig. 1. This time the conductance matrix is given as
Obtain the temperature field T (x, y) and evaluate the heat flux q(x, y). Use the given coarse and fine meshes and graphically present and comment on your results. You should present temperature contour T (x, y) and heat flux contours qx(x, y), qy(x, y) in the report. Conduct the same analysis using Abaqus with fine mesh and compare both results.
Q3.) Consider the two-dimensional heat conduction problem over a thin square plate with a square central hole. The temperature and the heat flux boundary conditions are prescribed as shown in Fig. 2. The conductance matrix is given as
Figure 2: Geometry and boundary conditions of Q3
Obtain the temperature field T (x, y) and evaluate the heat flux q(x, y). Use the given coarse and fine meshes and graphically present and comment on your results. You should present temperature contour T (x, y) and heat flux contours qx(x, y), qy(x, y) in the report. Conduct the same analysis using Abaqus with fine mesh and compare both results.
Q4.) (Bonus) Consider the two-dimensional heat conduction problem over a thin square plate. The temperature of edges are prescribed as shown in Fig. 3. There is a body heat source, which is expressed as
Figure 3: Geometry and boundary conditions of Q4
Obtain the temperature field T (x, y) and evaluate the heat flux q(x, y). Use the given coarse and fine meshes and graphically present and comment on your results. You should present temperature contour T (x, y) and heat flux contours qx(x, y), qy(x, y) in the report. Conduct the same analysis using Abaqus with fine mesh and compare both results.
Note: Please submit your codes with the report.
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